Relevant bibliographies by topics / Dynamical domains

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Dynamical domains'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Dynamical domains"

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Mizutani, Masahiro, and Shunji Ito. "Dynamical systems on dragon domains." Japan Journal of Applied Mathematics 4, no. 1 (February 1987): 23–46. http://dx.doi.org/10.1007/bf03167753.

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Huang, Yang. "A dynamical construction of Liouville domains." Proceedings of the American Mathematical Society 148, no. 12 (September 4, 2020): 5323–30. http://dx.doi.org/10.1090/proc/15187.

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BOYARSKY, ABRAHAM, and PAWEŁ GÓRA. "CHAOS OF DYNAMICAL SYSTEMS ON GENERAL TIME DOMAINS." International Journal of Bifurcation and Chaos 19, no. 11 (November 2009): 3829–32. http://dx.doi.org/10.1142/s0218127409025158.

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We consider dynamical systems on time domains that alternate between continuous time intervals and discrete time intervals. The dynamics on the continuous portions may represent species growth when there is population overlap and are governed by differential or partial differential equations. The dynamics across the discrete time intervals are governed by a chaotic map and may represent population growth which is seasonal. We study the long term dynamics of this combined system. We study various conditions on the continuous time dynamics and discrete time dynamics that produce chaos and alternatively nonchaos for the combined system. When the discrete system alone is chaotic we provide a condition on the continuous dynamical component such that the combined system behaves chaotically. We also provide a condition that ensures that if the discrete time system has an absolutely continuous invariant measure so will the combined system. An example based on the logistic continuous time and logistic discrete time component is worked out.
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Kidwingira, F., J. D. Strand, D. J. Van Harlingen, and Y. Maeno. "Dynamical Superconducting Order Parameter Domains in Sr2RuO4." Science 314, no. 5803 (November 24, 2006): 1267–71. http://dx.doi.org/10.1126/science.1133239.

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Tsironis, G. P. "Dynamical domains of a nondegenerate nonlinear dimer." Physics Letters A 173, no. 4-5 (February 1993): 381–85. http://dx.doi.org/10.1016/0375-9601(93)90255-x.

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Bao, Weizhu, and Qinglin Tang. "Numerical Study of Quantized Vortex Interaction in the Ginzburg-Landau Equation on Bounded Domains." Communications in Computational Physics 14, no. 3 (September 2013): 819–50. http://dx.doi.org/10.4208/cicp.250112.061212a.

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AbstractIn this paper, we study numerically quantized vortex dynamics and their interaction in the two-dimensional (2D) Ginzburg-Landau equation (GLE) with a dimensionless parameter ε > 0 on bounded domains under either Dirichlet or homogeneous Neumann boundary condition. We begin with a review of the reduced dynamical laws for time evolution of quantized vortex centers in GLE and show how to solve these nonlinear ordinary differential equations numerically. Then we present efficient and accurate numerical methods for discretizing the GLE on either a rectangular or a disk domain under either Dirichlet or homogeneous Neumann boundary condition. Based on these efficient and accurate numerical methods for GLE and the reduced dynamical laws, we simulate quantized vortex interaction of GLE with different ε and under different initial setups including single vortex, vortex pair, vortex dipole and vortex lattice, compare them with those obtained from the corresponding reduced dynamical laws, and identify the cases where the reduced dynamical laws agree qualitatively and/or quantitatively as well as fail to agree with those from GLE on vortex interaction. Finally, we also obtain numerically different patterns of the steady states for quantized vortex lattices under the GLE dynamics on bounded domains.
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Ha, N. T. T., N. V. Hong, and P. K. Hung. "Distribution of sodium and dynamical heterogeneity in sodium silicate liquid." International Journal of Modern Physics B 33, no. 05 (February 20, 2019): 1950013. http://dx.doi.org/10.1142/s0217979219500139.

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The structural and dynamical properties in sodium silicate liquid were investigated by molecular dynamics method. To clarify the distribution of sodium atoms in model, characteristics of simplex have been investigated. The simulation results reveal that Na2O⋅4SiO2 (NS4) liquid has a lot of simplexes with four sodium atoms inside but about half of simplexes do not have sodium. The spatial distribution of sodium is nonuniform, sodium tends to be in the nonbridging oxygen-simplexes and in larger-radius simplex. Moreover, the sodium density for nonbridging oxygen region is significantly higher than the one for Si-region. Namely, link-cluster function F[Formula: see text](r, t) has been used to clarify dynamical heterogeneity in NS4 liquid. The F[Formula: see text](r, t) for sets of random, immobile and mobile network atoms is quite different, which indicates that the dynamics of network atoms is heterogeneous. The Si–O network has the structure with two separated domains (immobile and mobile domains). These types of domain are significantly different in local microstructure, mobility of atoms and chemical composition.
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Padmanabhan, T. "Gravity and quantum theory: Domains of conflict and contact." International Journal of Modern Physics D 29, no. 01 (November 5, 2019): 2030001. http://dx.doi.org/10.1142/s0218271820300013.

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There are two strong clues about the quantum structure of spacetime and the gravitational dynamics, which are almost universally ignored in the conventional approaches to quantize gravity. The first clue is that null surfaces exhibit (observer-dependent) thermal properties and possess a heat density. This suggests that spacetime, like matter, has microscopic degrees of freedom and its long wavelength limit should be described in thermodynamic language and not in a geometric language. Second clue is related to the existence of the cosmological constant. Its understanding from first-principles will require the dynamical principles of the theory to be invariant under the shift [Formula: see text]. This puts strong constraints on the nature of gravitational dynamics and excludes metric tensor as a fundamental dynamical variable. In fact, these two clues are closely related to each other. When the dynamical principles are recast, respecting the symmetry [Formula: see text], they automatically acquire a thermodynamic interpretation related to the first clue. The first part of this review provides a pedagogical introduction to thermal properties of the horizons, including some novel derivations. The second part describes some aspects of cosmological constant problem and the last part provides a perspective on gravity which takes into account these principles.
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Kobine, J. J., T. Mullin, and T. J. Price. "The dynamics of driven rotating flow in stadium-shaped domains." Journal of Fluid Mechanics 294 (July 10, 1995): 47–69. http://dx.doi.org/10.1017/s0022112095002801.

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Results are presented from an experimental investigation of the dynamics of driven rotating flows in stadium-shaped domains. The work was motivated by questions concerning the typicality of low-dimensional dynamical phenomena which are found in Taylor-Couette flow between rotating circular cylinders. In such a system, there is continuous azimuthal symmetry and travelling-wave solutions are found. In the present study, this symmetry is broken by replacing the stationary outer circular cylinder with one which has a stadium-shaped cross-section. Thus there is now only discrete symmetry in the azimuthal direction, and travelling waves are no longer observed. To begin with, the two-dimensional flow field was investigated using numerical techniques. This was followed by an experimental study of the dynamics of flow in systems with finite vertical extent. Configurations involving both right-circular and tapered inner cylinders were considered. Dynamics were observed which correspond to known mechanisms from the theory of finite-dimensional dynamical systems. However, flow behaviour was also observed which cannot be classified in this way. Thus it is concluded that while certain low-dimensional dynamical phenomena do persist with breaking of the continuous azimuthal symmetry embodied in the Taylor-Couette system, sufficient reduction of symmetry admits behaviour at moderately low Reynolds number which is without any low-dimensional characteristics.
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ELLIS, GEORGE F. R. "DYNAMICAL PROPERTIES OF COSMOLOGICAL SOLUTIONS." Journal of Hyperbolic Differential Equations 02, no. 02 (June 2005): 381–95. http://dx.doi.org/10.1142/s0219891605000464.

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I will consider how there are FOSH formulations and associated results in relativistic cosmology expressed in 1+3 tetrad form. The characteristics of scalar and vector perturbations are timelike, hence the real domains of dependence in cosmology are much smaller than implied by the light cone, associated with gravitational wave perturbations.
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Dissertations / Theses on the topic "Dynamical domains"

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Comanici, Adela N. "Spiral waves on spherical domains: A dynamical systems approach." Thesis, University of Ottawa (Canada), 2004. http://hdl.handle.net/10393/29088.

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This thesis is concerned with the dynamics and bifurcations of spiral waves in excitable media with spherical or approximately spherical geometry (e.g. cardiac tissue). First, we study parameter-dependent systems of reaction-diffusion partial differential equations on a sphere which are equivariant under the group SO(3) of all rigid rotations on a sphere. Two main types of spatial-temporal patterns that can appear in such systems are rotating waves (equilibrium in a co-rotating frame) and modulated rotating waves (periodic solution in a co-rotating frame). The transition from rotating waves to modulated rotating waves on spherical domains is explained via a supercritical Hopf bifurcation from a rotating wave and SO(3) symmetry. The Baker-Campbell-Haussdorff formula in the Lie algebra so(3) is used to get a formula for a primary frequency vector, as well as a formula for the periodic part associated to any modulated rotating wave obtained by a supercritical Hopf bifurcation from a rotating wave. In the resonant case, the primary frequency vector of the modulated rotating wave is generically orthogonal to the frequency vector of the initial rotating wave. In the second part of the thesis, we study the effects of forced symmetry-breaking from SO(3) to SO(2) for a normally hyperbolic relative equilibrium. This is done by introducing a small SO(2)-equivariant perturbation into the above reaction-diffusion system. The relative equilibrium persists to a normally hyperbolic SO(2)-invariant manifold that is SO(2)-equivariant diffeomorphic to SO(3). The perturbed SO(2)-equivariant dynamics on this manifold are studied by using the projection onto the orbit space SO(3)/ SO(2). Depending on the frequency vectors of the rotating waves that form the relative equilibrium, these rotating waves (up to SO(2)) will give either SO(2)-orbits of rotating waves or SO(2)-orbits of modulated rotating waves (if some transversality conditions hold). The orbital stability of these solutions is established as well.
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Belzil-Lacasse, Christian. "Study of Dissipative Spots In Three-Component Reaction-Difussion Systems on Two-Dimensional Domains." Thesis, Université d'Ottawa / University of Ottawa, 2016. http://hdl.handle.net/10393/34257.

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Dissipative spots are found in physical experiments of many branches of natural science. In this thesis we use three-component reaction-diffusion systems on two-dimensional domains in order to generate these patterns. Using a dynamical system approach we proceed with a Fourier analysis on a linearized reaction-diffusion system in order to provide the bifurcation conditions for a given homogeneous state. We validate our results and establish it's limitations through numerical experiments. We report very interesting behavior during these simulations, notably hysteresis and multi-stability. We will then turn our attention to the relatively unexplored phenomenon of rotating spots. Based on previous work done for spiral waves, we investigate the effect of translational symmetry-breaking on a rotating spot mainly through careful numerical analysis.
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Turhan, Nezihe. "Deterministic and Stochastic Bellman's Optimality Principles on Isolated Time Domains and Their Applications in Finance." TopSCHOLAR®, 2011. http://digitalcommons.wku.edu/theses/1045.

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The concept of dynamic programming was originally used in late 1949, mostly during the 1950s, by Richard Bellman to describe decision making problems. By 1952, he refined this to the modern meaning, referring specifically to nesting smaller decision problems inside larger decisions. Also, the Bellman equation, one of the basic concepts in dynamic programming, is named after him. Dynamic programming has become an important argument which was used in various fields; such as, economics, finance, bioinformatics, aerospace, information theory, etc. Since Richard Bellman's invention of dynamic programming, economists and mathematicians have formulated and solved a huge variety of sequential decision making problems both in deterministic and stochastic cases; either finite or infinite time horizon. This thesis is comprised of five chapters where the major objective is to study both deterministic and stochastic dynamic programming models in finance. In the first chapter, we give a brief history of dynamic programming and we introduce the essentials of theory. Unlike economists, who have analyzed the dynamic programming on discrete, that is, periodic and continuous time domains, we claim that trading is not a reasonably periodic or continuous act. Therefore, it is more accurate to demonstrate the dynamic programming on non-periodic time domains. In the second chapter we introduce time scales calculus. Moreover, since it is more realistic to analyze a decision maker’s behavior without risk aversion, we give basics of Stochastic Calculus in this chapter. After we introduce the necessary background, in the third chapter we construct the deterministic dynamic sequence problem on isolated time scales. Then we derive the corresponding Bellman equation for the sequence problem. We analyze the relation between solutions of the sequence problem and the Bellman equation through the principle of optimality. We give an example of the deterministic model in finance with all details of calculations by using guessing method, and we prove uniqueness and existence of the solution by using the Contraction Mapping Theorem. In the fourth chapter, we define the stochastic dynamic sequence problem on isolated time scales. Then we derive the corresponding stochastic Bellman equation. As in the deterministic case, we give an example in finance with the distributions of solutions.
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Soler, Vila Paula 1989. "Multi-scale study of the genome architecture and its dynamical facets." Doctoral thesis, Universitat Pompeu Fabra, 2019. http://hdl.handle.net/10803/668229.

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High-throughput Chromosome Conformation Capture (3C) techniques have provided a comprehensive overview of the genome architecture. Hi-C, a derivative of 3C, has become a reference technique to study the 3D chromatin structure and its relationship with the functional state of the cell. However, several aspects of the analysis and interpretation of Hi-C data remain a challenge and may hide a potential yet to be unveiled. In this thesis, we explore the structural landscape of multiple chromatin features. We developed an integrative approach combining in situ Hi-C data with nine additional omic layers and revealed a new dynamic and transitional genomic compartment enriched in poised and polycomb-repressed chromatin. This novel intermediate compartment plays an important role in the modulation of the genome during B cells differentiation and upon neoplastic transformation, specifically in chronic lymphocytic leukemia (CLL) or mantle cell lymphoma (MCL) patients. We also developed TADpole, a computational tool designed to characterize the hierarchy of topologically-associated domains (TADs) using Hi-C interaction matrices. We demonstrated its technical and biological robustness, and its capacity to reveal topological differences in high-resolution capture Hi-C experiments.
El desarrollo de métodos experimentales basados en la captura de la conformación cromosómica (3C) ha permitido tener una visión más detallada de la arquitectura genómica. El Hi-C, derivado del 3C, se ha convertido en una técnica de referencia para analizar la estructura tridimensional de la cromatina, así como su relación con el estado funcional celular. Sin embargo, varios aspectos del análisis y la interpretación de los datos de Hi-C siguen siendo un desafío, y pueden ocultar un potencial aún por descubrir. En esta tesis se exploran múltiples niveles de organización estructural de la cromatina. Hemos realizado un estudio integrativo combinando datos de in situ Hi-C con nueve capas epigenéticas y hemos revelado un nuevo compartimento genómico caracterizado por su dinámica y capacidad de transición, enriquecido en cromatina reprimida por polycomb. Este nuevo compartimento intermedio juega un papel importante en la modulación del genoma durante la diferenciación de células B y durante su transformación neoplásica, específicamente en pacientes con leucemia linfocítica crónica (CLL) o con linfoma de células del manto (MCL). Además, hemos desarrollado TADpole, un nuevo método computacional destinado a la detección de la jerarquía de dominios asociados topológicamente (TADs) empleando mapas de interacciones de Hi-C. Hemos demostrado su robustez ante una evaluación técnica y biológica, así como su capacidad de detectar diferencias topológicas en experimentos de capture Hi-C de alta resolución.
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Feng, Libo. "Numerical investigation and application of fractional dynamical systems." Thesis, Queensland University of Technology, 2019. https://eprints.qut.edu.au/126980/1/Libo_Feng_Thesis.pdf.

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This thesis mainly concerns the numerical investigation and application of fractional dynamical systems. Two main problems are considered: fractional dynamical models involving the Riesz fractional operator, such as the time-space fractional Bloch-Torrey equation, and complex viscoelastic non-Newtonian Maxwell and Oldroyd-B fluid models. The two main contributions of the research are the treatment of the Riesz space fractional derivative on irregular convex domains and presenting a unified numerical scheme to solve a class of novel multi-term time fractional non-Newtonian fluid models. A rigorous stability and convergence analysis of the computational models is also established.
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Pasa, Luca. "Linear Models and Deep Learning: Learning in Sequential Domains." Doctoral thesis, Università degli studi di Padova, 2017. http://hdl.handle.net/11577/3425865.

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With the diffusion of cheap sensors, sensor-equipped devices (e.g., drones), and sensor networks (such as Internet of Things), as well as the development of inexpensive human-machine interaction interfaces, the ability to quickly and effectively process sequential data is becoming more and more important. There are many tasks that may benefit from advancement in this field, ranging from monitoring and classification of human behavior to prediction of future events. Most of the above tasks require pattern recognition and machine learning capabilities. There are many approaches that have been proposed in the past to learn in sequential domains, especially extensions in the field of Deep Learning. Deep Learning is based on highly nonlinear systems, which very often reach quite good classification/prediction performances, but at the expenses of a substantial computational burden. Actually, when facing learning in a sequential, or more in general structured domain, it is common practice to readily resort to nonlinear systems. Not always, however, the task really requires a nonlinear system. So the risk is to run into difficult and computational expensive training procedures to eventually get a solution that improves of an epsilon (if not at all) the performances that can be reached by a simple linear dynamical system involving simpler training procedures and a much lower computational effort. The aim of this thesis is to discuss about the role that linear dynamical systems may have in learning in sequential domains. On one hand, we like to point out that a linear dynamical system (LDS) is able, in many cases, to already provide good performances at a relatively low computational cost. On the other hand, when a linear dynamical system is not enough to provide a reasonable solution, we show that it can be used as a building block to construct more complex and powerful models, or how to resort to it to design quite effective pre-training techniques for nonlinear dynamical systems, such as Echo State Networks (ESNs) and simple Recurrent Neural Networks (RNNs). Specifically, in this thesis we consider the task of predicting the next event into a sequence of events. The datasets used to test various discussed models involve polyphonic music and contain quite long sequences. We start by introducing a simple state space LDS. Three different approaches to train the LDS are then considered. Then we introduce some brand new models that are inspired by the LDS and that have the aim to increase the prediction/classification capabilities of the simple linear models. We then move to study the most common nonlinear models. From this point of view, we considered the RNN models, which are significantly more computationally demanding. We experimentally show that, at least for the addressed prediction task and the considered datasets, the introduction of pre-training approaches involving linear systems leads to quite large improvements in prediction performances. Specifically, we introduce pre-training via linear Autoencoder, and an alternative based on Hidden Markov Models (HMMs). Experimental results suggest that linear models may play an important role for learning in sequential domains, both when used directly or indirectly (as basis for pre-training approaches): in fact, when used directly, linear models may by themselves return state-of-the-art performance, while requiring a much lower computational effort with respect to their nonlinear counterpart. Moreover, even when linear models do not perform well, it is always possible to successfully exploit them within pre-training approaches for nonlinear systems.
Con la diffusione di dispositivi a basso costo, e reti di sensori (come ad esempio l'Internet of Things), nonché lo sviluppo di interfacce di interazione uomo-macchina a basso costo, la capacità di processare dati sequenziali in maniera veloce, e assicurando un basso consumo di risorse, è diventato sempre più importante. Molti sono i compiti che trarrebbero beneficio da un avanzamento in questo ambito, dal monitoraggio e classificazione di comportamenti umani fino alla predizioni di eventi futuri. Molti dei task citati richiedono l'uso di tecniche di pattern recognition e di abilità correlate con metodi tipici dell’apprendimento automatico. Molti sono gli approcci per eseguire apprendimento su domini sequenziali proposti nel recente passato, e molti sono basati su tecniche tipiche dell'ambito del Deep Learning. I metodi di Deep Learning sono tipicamente basati su sistemi fortemente non lineari, capaci di ottenere ottimi risultati in problemi di predizione/classificazione, ma che risultano anche essere molto costosi dal punto di vista computazionale. Quando si cerca di eseguire un compito di apprendimento su domini sequenziali, e più in generale su dati strutturati, tipicamente si ricorre all'utilizzo di sistemi non lineari. Non è però sempre vero che i task considerati richiedono modelli non lineari. Quindi il rischio è di andare ad utilizzare metodi troppo complessi, e computazionalmente costosi, per poi ottenere alla fine soluzioni che migliorano di un’epsilon (o anche no migliorano) i risultati ottenibili tramite l'utilizzo di sistemi lineari dinamici, che risultano essere molto meno costosi dal punto di vista dell'apprendimento, e del costo computazionale. L'obiettivo di questa tesi è di discutere del ruolo che i sistemi lineari dinamici possono avere nelle esecuzioni di compiti di apprendimento su dati strutturati. In questa tesi vogliamo mettere in luce le capacità dei sistemi lineari dinamici (LDS) di ottenere soluzioni molto buone ad un costo computazionale relativamente basso. Inoltre risulta interessante vedere come, nel caso in cui un sistema lineare non sia sufficiente per ottenere il risultato sperato, esso possa essere usato come base per costruire modelli più complessi, oppure possa essere utilizzato per eseguire la fase di pre-training per un modello non lineare, come ad esempio Echo State Networks (ESNs) e Recurrent Neural Networks (RNNs). Nello specifico in questa tesi è stato considerato un task di predizione dell'evento successivo, data una sequenza di eventi. I dataset usati per testare i vari modelli proposti nella tesi, contengono sequenze di musica polifonica, che risultano essere particolarmente lunghe e complesse. Nella prima parte della tesi viene proposto l'utilizzo del semplice modello LDS per affrontare il compito considerato. In particolare vengono considerati tre approcci diversi per eseguire l'apprendimento con questo modello. Viene poi introdotti nuovi modelli, ispirati al modello LDS, che hanno l'obiettivo di migliorare le prestazioni di quest'ultimo nei compiti di predizione/classificazione. Vengono poi considerati i più comuni modelli non lineari, in particolare il modello RNN il quale risulta essere significativamente più complesso e computazionalmente costoso da utilizzare. Viene quindi empiricamente dimostrato che, almeno per quanto riguarda il compito di predizione e i dataset considerati, l'introduzione di una fase di pre-training basati su sistemi lineari porta ad un significativo miglioramento delle prestazioni e della accuratezza nell'eseguire la predizione. In particolare 2 metodi di pre-training vengono proposti, il primo chiamato pre-training via Linear Autoencoder, ed il secondo basato su Hidden Markov Models (HMMs). I risultati sperimentali suggeriscono che i sistemi lineari possono giocare un ruolo importante per quanto riguarda il compito di apprendimento in domini sequenziali, sia che siano direttamente usati oppure siano usati indirettamente (come base per eseguire la fase di pre-training): infatti, usandoli direttamente, essi hanno permesso di raggiungere risultati che rappresentano lo stato dell'arte, andando però a richiedere uno sforzo computazionale molto limitato se confrontato con i più comuni modelli non lineari. Inoltre, anche quando le performance ottenute sono risultate non soddisfacenti, si è dimostrato che è possibile utilizzarli con successo per eseguire la fase di pre-training di sistemi non lineari.
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Wuth, Clemens [Verfasser]. "Stochastic and coherent dynamics of individual magnetic domains and domain walls / Clemens Wuth." München : Verlag Dr. Hut, 2015. http://d-nb.info/1079768815/34.

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Richter, Kornel. "Study of the fast domain wall dynamics in thin magnetic wires." Phd thesis, Université Paris Sud - Paris XI, 2013. http://tel.archives-ouvertes.fr/tel-01004612.

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The domain wall dynamics is used in many spintronic devices based on the uniaxial ferromagnetic wires to transport and store information. Therefore, the domain wall velocity is one of the main parameters that determine the operation speed of these devices. Recently, a big attention is being paid to amorphous glass-coated microwires due to the very high domain wall velocities that reach up to 20 km/s. In this work, the fast domain wall propagation in amorphous glass-coated microwires was found in the presence of two main factors: (i) relatively low magnetic anisotropy, (ii) complex geometry of magnetic anisotropies given by internal distribution of mechanical stresses. The domain wall dynamics was examined in amorphous glass-coated microwires of reduced diameter down to 1 μm. It was shown, that the domain wall dynamics in these wires is the same as in wires of bigger diameter. It proves that the high domain wall velocities in microwires are not the effect of microwire diameter value. The direct observation of the surface domain wall structure by use of MOKE microscope confirmed that the domain wall is inclined relatively to the main axis. A new method for magneto-optical observation of the samples with cylindrical geometry was proposed. The inclined structure of the domain wall was found to be partially responsible for the high apparent domain wall velocity measured by the Sixtus-Tonks method in microwires.
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Munz, Marton. "Computational studies of protein dynamics and dynamic similarity." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:2fb76765-3e43-409b-aad3-b5202f4668b3.

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At the time of writing this thesis, the complete genomes of more than 180 organisms have been sequenced and more than 80000 biological macromolecular structures are available in the Protein Data Bank (PDB). While the number of sequenced genomes and solved three-dimensional structures are rapidly increasing, the functional annotation of protein sequences and structures is a much slower process, mostly because the experimental de-termination of protein function is expensive and time-consuming. A major class of in silico methods used for protein function prediction aim to transfer annotations between proteins based on sequence or structural similarities. These approaches rely on the assumption that homologous proteins of similar primary sequences and three-dimensional structures also have similar functions. While in most cases this assumption appears to be valid, an increasing number of examples show that proteins of highly similar sequences and/or structures can have different biochemical functions. Thus the relationship between the divergence of protein sequence, structure and function is more complex than previously anticipated. On the other hand, there is mounting evidence suggesting that minor changes of the sequences and structures of proteins can cause large differences in their conformational dynamics. As the intrinsic fluctuations of many proteins are key to their biochemical functions, the fact that very similar (almost identical) sequences or structures can have entirely different dynamics might be important for understanding the link between sequence, structure and function. In other words, the dynamic similarity of proteins could often serve as a better indicator of functional similarity than the similarity of their sequences or structures alone. Currently, little is known about how proteins are distributed in the 'dynamics space' and how protein motions depend on structure and sequence. These problems are relevant in the field of protein design, studying protein evolution and to better understand the functional differences of proteins. To address these questions, one needs a precise definition of dynamic similarity, which is not trivial given the complexity of protein motions. This thesis is intended to explore the possibilities of describing the similarity of proteins in the 'dynamics space'. To this end, novel methods of characterizing and comparing protein motions based on molecular dynamics simulation data were introduced. The generally applicable approach was tested on the family of PDZ domains; these small protein-protein interaction domains play key roles in many signalling pathways. The methodology was successfully used to characterize the dynamic dissimilarities of PDZ domains and helped to explain differences of their functional properties (e.g. binding promiscuity) also relevant for drug design studies. The software tools developed to implement the analysis are also introduced in the thesis. Finally, a network analysis study is presented to reveal dynamics-mediated intramolecular signalling pathways in an allosteric PDZ domain.
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Mayes, Katherine. "Dynamic domains in strongly driven ferromagnetic films." [S.l. : s.n.], 2002. http://elib.tu-darmstadt.de/diss/000302.

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Books on the topic "Dynamical domains"

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Luo, Albert C. J. Discontinuous Dynamical Systems on Time-varying Domains. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00253-3.

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service), SpringerLink (Online, ed. Exterior Billiards: Systems with Impacts Outside Bounded Domains. New York, NY: Springer New York, 2012.

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Rapp, R. Ocean domains and maximum degree of spherical harmonic and orthonormal expansions. Greenbelt, Md: National Aeronautics and Space Administration, Goddard Space Flight Center, 1999.

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Rapp, R. Ocean domains and maximum degree of spherical harmonic and orthonormal expansions. Greenbelt, Md: National Aeronautics and Space Administration, Goddard Space Flight Center, 1999.

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5

Milnor, John W. Dynamical systems (1984-2012). Edited by Bonifant Araceli 1963-. Providence, Rhode Island: American Mathematical Society, 2014.

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Quinn, Peter J., ed. Membrane Dynamics and Domains. Boston, MA: Springer US, 2004. http://dx.doi.org/10.1007/978-1-4757-5806-1.

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J, Quinn P., ed. Membrane dynamics and domains. Dordrecht: Kluwer Academic/Plenum, 2004.

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Kathleen, Hornsby, Yuan May, and University Consortium for Geographic Information Science., eds. Understanding dynamics of geographic domains. Boca Raton: Taylor & Francis, 2008.

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Mulder, Jan, Wouter A. Serdijn, Albert C. Woerd, and Arthur H. M. Roermund. Dynamic Translinear and Log-Domain Circuits. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-4955-0.

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Wolf, John P. Soil-structure-interaction analysis in time domain. Englewood Cliffs, N.J: Prentice Hall, 1988.

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Book chapters on the topic "Dynamical domains"

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Raugel, Geneviève. "Dynamics of partial differential equations on thin domains." In Dynamical Systems, 208–315. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0095241.

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Liu, Xinzhi, and Kexue Zhang. "Application to Synchronization of Dynamical Networks." In Impulsive Systems on Hybrid Time Domains, 61–70. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-06212-5_3.

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Liu, Xinzhi, and Kexue Zhang. "Stabilization and Synchronization of Dynamical Networks." In Impulsive Systems on Hybrid Time Domains, 141–77. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-06212-5_6.

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Pilyugin, Sergei Yu. "Limit sets of domains." In The Space of Dynamical Systems with the C0-Topology, 125–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/bfb0073524.

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Shoikhet, David, and Mark Elin. "Backward Flow Invariant Domains for Semigroups." In Linearization Models for Complex Dynamical Systems, 195–219. Basel: Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0509-0_8.

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Grüne, Lars. "7. Domains of Attraction." In Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization, 157–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-36784-0_7.

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Rodríguez, Claudio A., and Marcelo A. S. Neves. "Domains of Parametric Roll Amplification for Different Hull Forms." In Parametric Resonance in Dynamical Systems, 107–27. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-1043-0_6.

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Ward, Michael J. "Metastable dynamics and exponential asymptotics in multi-dimensional domains." In Multiple-Time-Scale Dynamical Systems, 233–59. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0117-2_9.

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Mielke, Alexander, Guido Schneider, and Hannes Uecker. "Stability and Diffusive Dynamics on Extended Domains." In Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, 563–83. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56589-2_24.

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Baruchel, José, and Michel Schlenker. "Application of Diffraction Topography to the Study of Magnetic Domains and Phase Transitions." In X-Ray and Neutron Dynamical Diffraction, 187–97. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4615-5879-8_12.

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Conference papers on the topic "Dynamical domains"

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Pasa, Luca, Alessandro Sperduti, and Peter Tino. "Linear dynamical based models for sequential domains." In 2017 International Joint Conference on Neural Networks (IJCNN). IEEE, 2017. http://dx.doi.org/10.1109/ijcnn.2017.7966122.

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Labrune, M., T. Daniel, and S. Hamzaoui. "Semi-Dynamical Observations Of Small Magnetic Domains." In International Topical Meeting on Image Detection and Quality, edited by Lucien F. Guyot. SPIE, 1987. http://dx.doi.org/10.1117/12.966784.

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Guo, Siyu, and Albert C. J. Luo. "Periodic Motions in a Discontinuous Dynamical System With Two Circular Boundaries." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97876.

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Abstract In this paper, periodic motions in a discontinuous dynamical systems are studied. The discontinuous dynamical system has three domains partitioned through two circular boundaries. On the three domains, there are three distinct dynamical systems. From the G-functions, the switchability conditions of a flow from one domain to anther domain at the boundary are developed. The flow mappings from a boundary to a bounbary are developed for each domain and boundary. From the mapping structures, periodic motions in the discontinuous dynamical system are predicted. Numerical simulations of periodic motions and motion switchability at boundaries are presented in the discontinuous dynamical system.
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Belle, Vaishak, and Gerhard Lakemeyer. "Reasoning about Probabilities in Unbounded First-Order Dynamical Domains." In Twenty-Sixth International Joint Conference on Artificial Intelligence. California: International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/115.

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When it comes to robotic agents operating in an uncertain world, a major concern in knowledge representation is to better relate high-level logical accounts of belief and action to the low-level probabilistic sensorimotor data. Perhaps the most general formalism for dealing with degrees of belief and, in particular, how such beliefs should evolve in the presence of noisy sensing and acting is the account by Bacchus, Halpern, and Levesque. In this paper, we reconsider that model of belief, and propose a new logical variant that has much of the expressive power of the original, but goes beyond it in novel ways. In particular, by moving to a semantical account of a modal variant of the situation calculus based on possible worlds with unbounded domains and probabilistic distributions over them, we are able to capture the beliefs of a fully introspective knowledge base with uncertainty by way of an only-believing operator. The paper introduces the new logic and discusses key properties as well as examples that demonstrate how the beliefs of a knowledge base change as a result of noisy actions.
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Castillo, A´ngela, and Pedro J. Zufiria. "Computational Schemes for Optimizing Domains of Attraction in Dynamical Systems." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48158.

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In this paper, several computational schemes are presented for the optimal tuning of the global behavior of nonlinear dynamical systems. Specifically, the maximization of the size of domains of attraction associated with invariants in parametrized dynamical systems is addressed. Cell Mapping (CM) techniques are used to estimate the size of the domains, and such size is then maximized via different optimization tools. First, a genetic algorithm is tested whose performance shows to be good for determining global maxima at the expense of high computational cost. Secondly, an iterative scheme based on a Stochastic Approximation procedure (the Kiefer-Wolfowitz algorithm) is evaluated showing acceptable performance at low cost. Finally, several schemes combining neural network based estimations and optimization procedures are addressed with promising results. The performance of the methods is illustrated with two applications: first on the well-known van der Pol equation with standard parametrization, and second the tuning of a controller for saturated systems.
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Pardo, Rosa, and Alfonso Castro. "Branches of positive solutions of subcritical elliptic equations in convex domains." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0230.

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Luo, Yang, Natalie Baddour, and Ming Liang. "Dynamical Modeling of Gear Transmission Considering Gearbox Casing." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85656.

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Much research has been carried out to investigate the dynamical response of a gear system because of its importance on vibration feature analysis. It is well known that the gearbox casing is one of the most important components of the gear system and plays an important role in signal propagation. However, its effects have widely been neglected within the dynamic simulations and few dynamic models have considered the gearbox casing when modeling a gear transmission. This paper proposes a gear transmission dynamical model with the consideration of the effects of gearbox casing. The proposed dynamical model incorporates TVMS, a time-varying load sharing ratio, as well as dynamic tooth contact friction forces, friction moments and dynamic mesh damping coefficients. The proposed gear dynamical model is validated by comparison with responses obtained from experimental test rigs under different speed conditions. Comparisons indicate that the responses of the proposed dynamical model are consistent with experimental results, in both time and frequency domains under different rotation speeds.
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Sun, Jian-Qiao, Bo Song, and Jie Yang. "Global Analysis of Nonlinear Time-Delayed Dynamical Systems." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48069.

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Time-delayed dynamical systems are defined in an infinite dimensional state-space. When the system has multiple stable steady-state responses, the global analysis of the system such as finding the domains of attraction and boundary basin has to be done in the infinite dimensional state-space. This paper examines this issue and shows that there are rich opportunities for global analysis research of nonlinear time-delayed dynamical systems.
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Chezganov, D. S., M. N. Lysakov, E. A. Pashnina, and E. A. Linker. "Dynamical scattering simulation and electron backscatter diffraction application for orientation mapping of ferroelectric domains." In XXVIII Российская конференция по электронной микроскопии и VI школа молодых учёных "Современные методы электронной, зондовой микроскопии и комплементарные методы в исследованиях наноструктур и наноматериалов". Crossref, 2020. http://dx.doi.org/10.37795/rcem.2020.55.21.004.

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El-Rifai, Khalid, George Haller, and Anil K. Bajaj. "Domains of Attraction for an Autoparametric Mass-Pendulum System: A Lyapunov Exponent Map Approach." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48594.

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Many recent studies have been performed on resonantly excited mass-pendulum systems with autoparametric (internal) resonance capturing interesting local steady state phenomena. The objective of this work is to explore the transient behavior in such systems. The domains of attraction of the time-periodic system provide some help in understanding the transient dynamics, and these are sought using a recently developed algorithm that solves for the finite-time Lyapunov exponent over a grid of initial conditions. Though the use of finite-time Lyapunov exponents in nonlinear dynamical analyses is not novel, its application to multi-degree-offreedom forced nonlinear systems has not been reported in the literature. In addition to identifying regions of different final states, the technique used captures different levels of attraction within a domain. This sheds some light on the role played by other modes present in a multi-degree-of-freedom system in shaping the overall system response.
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Reports on the topic "Dynamical domains"

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Lawton, James H., and Matthew Berger. Multi-Agent Planning in Dynamic Domains. Fort Belvoir, VA: Defense Technical Information Center, June 2008. http://dx.doi.org/10.21236/ada482901.

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Woyczynski, Lauren, Christina Misunas, and Md Irfan Hossain. Building the Adolescent Indicators and Gender Gaps Dashboard. Population Council, 2022. http://dx.doi.org/10.31899/sbsr2022.1014.

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The Adolescent Atlas for Action (A3) is a suite of tools that summarizes the lives and needs of adolescents around the world to promote evidence-based decision-making. Through accessible and easy-to-grasp data just one click away, the A3 bridges the gap between decisionmakers and evidence to inform policies and programs. The Adolescent Indicators dashboard and Gender Gaps dashboard are two simple but dynamic dashboards that provide insights on the lives of adolescent girls and boys living in low- and middle income countries (LMICs) across 9 thematic domains of wellbeing. The Adolescent Indicators dashboard showcases how adolescent girls or boys are faring under each theme, globally and subnationally, as well as how the indicators across domains are interlinked. The Gender Gaps dashboard allows you to compare gaps by domain and indicator, both globally and subnationally. This brief elaborates on the methodology for developing both dashboards.
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Eastlake, D. Secure Domain Name System Dynamic Update. RFC Editor, April 1997. http://dx.doi.org/10.17487/rfc2137.

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Wellington, B. Secure Domain Name System (DNS) Dynamic Update. RFC Editor, November 2000. http://dx.doi.org/10.17487/rfc3007.

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Aboba, B., and S. Cheshire. Dynamic Host Configuration Protocol (DHCP) Domain Search Option. RFC Editor, November 2002. http://dx.doi.org/10.17487/rfc3397.

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Pan, Xiaoqing. Structure and Dynamics of Domains in Ferroelectric Nanostructures. In-situ TEM Studies. Office of Scientific and Technical Information (OSTI), June 2015. http://dx.doi.org/10.2172/1187994.

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Lee, Andrew Loyd. Structural and dynamic characterization of eukaryotic gene regulatory protein domains in solution. Office of Scientific and Technical Information (OSTI), May 1996. http://dx.doi.org/10.2172/373861.

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Thomson, S., Y. Rekhter, and J. Bound. Dynamic Updates in the Domain Name System (DNS UPDATE). Edited by P. Vixie. RFC Editor, April 1997. http://dx.doi.org/10.17487/rfc2136.

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Kaminka, Gal. The Impact of Cultural Differences on Crowd Dynamics in Pedestrian and Evacuation Domains. Fort Belvoir, VA: Defense Technical Information Center, November 2011. http://dx.doi.org/10.21236/ada552369.

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Spring, Jonathan M. Modeling Malicious Domain Name Take-down Dynamics: Why eCrime Pays. Fort Belvoir, VA: Defense Technical Information Center, April 2014. http://dx.doi.org/10.21236/ada609796.

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