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Journal articles on the topic 'Spatio-temporal dynamical systems'

Author: Grafiati

Published: 4 June 2021

Last updated: 19 February 2022

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1

Uhl, C., F. Kruggel, and D. Y. von Cramon. "Dynamical Systems Based Spatio-Temporal EEG/MEG Modeling." NeuroImage 7, no. 4 (1998): S675. http://dx.doi.org/10.1016/s1053-8119(18)31508-8.

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2

Rod, D. L., and B. D. Sleeman. "Complexity in spatio-temporal dynamics." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 125, no. 5 (1995): 959–74. http://dx.doi.org/10.1017/s0308210500022587.

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Complex and chaotic structures in certain dynamical systems in biology arise as a consequence of noncomplete integrability of two-degree-of-freedom Hamiltonian systems. A study of this problem is made using Ziglin theory and implemented with the aid of the Kovacic algorithm.

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GUO, YUZHU, L. Z. GUO, S. A. BILLINGS, DANIEL COCA, and Z. Q. LANG. "CHARACTERIZING NONLINEAR SPATIO-TEMPORAL SYSTEMS IN THE FREQUENCY DOMAIN." International Journal of Bifurcation and Chaos 22, no. 02 (2012): 1230009. http://dx.doi.org/10.1142/s0218127412300091.

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In this paper a new concept, spatio-temporal generalized frequency response functions (STGFRF), is introduced for the first time to characterize nonlinear spatio-temporal dynamical systems in the frequency domain. A probing method is developed to calculate the STGFRFs recursively for both continuous and discrete spatio-temporal systems. The algorithm is computationally compact and exposes the explicit relationship between the continuous and discrete models and the elements of the generalized frequency response functions.

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Guo, L. Z., and S. A. Billings. "Identification and analysis of spatio-temporal dynamical systems using wavelets." International Journal of Systems Science 39, no. 3 (2008): 315–34. http://dx.doi.org/10.1080/00207720701806089.

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DAYA SAGAR, B. S., and C. BABU RAO. "EDITORIAL." International Journal of Pattern Recognition and Artificial Intelligence 17, no. 02 (2003): 163–65. http://dx.doi.org/10.1142/s0218001403002289.

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Natural systems undergo several morphological changes with time. To study spatio-temporal dynamics of such natural systems, and to further understand the morphological dynamical behaviors, various images that show several macro- and micro-level phenomena, acquired by various types of sensors need to be analyzed in spatio-temporal scales. Such analyses, to facilitate the researcher to model the spatio-temporal organization of a desired phenomenon, evidently require the robust procedures to extract specific error-free features from multiscale-temporal images represented in discrete space. Geomet

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McDermott, Patrick, and Christopher Wikle. "Bayesian Recurrent Neural Network Models for Forecasting and Quantifying Uncertainty in Spatial-Temporal Data." Entropy 21, no. 2 (2019): 184. http://dx.doi.org/10.3390/e21020184.

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Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. Recently, as deep learning models have become more common, RNNs have been used to forecast increasingly complicated systems. Dynamical spatio-temporal processes represent a class of complex systems that can potentially benefit from these types of models. Although the RNN literature is expansive and highly developed, uncertainty quantification is often ignored. Even when considered, th

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Guo, Lingzhong, and Stephen A. Billings. "State-Space Reconstruction and Spatio-Temporal Prediction of Lattice Dynamical Systems." IEEE Transactions on Automatic Control 52, no. 4 (2007): 622–32. http://dx.doi.org/10.1109/tac.2007.894513.

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ITOH, MAKOTO, and LEON O. CHUA. "OSCILLATIONS ON THE EDGE OF CHAOS VIA DISSIPATION AND DIFFUSION." International Journal of Bifurcation and Chaos 17, no. 05 (2007): 1531–73. http://dx.doi.org/10.1142/s0218127407018336.

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The primary purpose of this paper is to show that simple dissipation can bring about oscillations in certain kinds of asymptotically stable nonlinear dynamical systems; namely when the system is locally active where the dissipation is introduced. Furthermore, if these nonlinear dynamical systems are coupled with appropriate choice of diffusion coefficients, then the coupled system can exhibit spatio-temporal oscillations. The secondary purpose of this paper is to show that spatio-temporal oscillations can occur in spatially discrete reaction diffusion equations operating on the edge of chaos,

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GUO, YUZHU, STEVE A. BILLINGS, and DANIEL COCA. "IDENTIFICATION OF n-STATE SPATIO-TEMPORAL DYNAMICAL SYSTEMS USING A POLYNOMIAL MODEL." International Journal of Bifurcation and Chaos 18, no. 07 (2008): 2049–57. http://dx.doi.org/10.1142/s0218127408021543.

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A multivariable polynomial model is introduced to describe n-state spatio-temporal systems. Based on this model, a new neighborhood detection and transition rules determination method is proposed. Simulation results illustrate that the new method performs well even when the patterns are corrupted by static and dynamical noise.

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10

Guo, L. Z., S. A. Billings, and H. L. Wei. "Estimation of spatial derivatives and identification of continuous spatio-temporal dynamical systems." International Journal of Control 79, no. 9 (2006): 1118–35. http://dx.doi.org/10.1080/00207170600804050.

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Guo, L., and S. A. Billings. "Identification of Partial Differential Equation Models for Continuous Spatio-Temporal Dynamical Systems." IEEE Transactions on Circuits and Systems II: Express Briefs 53, no. 8 (2006): 657–61. http://dx.doi.org/10.1109/tcsii.2006.876464.

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12

Guo, L. Z., S. A. Billings, and D. Coca. "Identification of multiscale spatio-temporal dynamical systems using a wavelet multiresolution analysis." International Journal of Systems Science 40, no. 11 (2009): 1115–26. http://dx.doi.org/10.1080/00207720902974694.

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13

Baier, Gerold, and Sven Sahle. "Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators." Discrete Dynamics in Nature and Society 1, no. 2 (1997): 161–67. http://dx.doi.org/10.1155/s1026022697000162.

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We present three examples how complex spatio-temporal patterns can be linked to hyperchaotic attractors in dynamical systems consisting of nonlinear biochemical oscillators coupled linearly with diffusion terms. The systems involved are: (a) a two-variable oscillator with two consecutive autocatalytic reactions derived from the Lotka–Volterra scheme; (b) a minimal two-variable oscillator with one first-order autocatalytic reaction; (c) a three-variable oscillator with first-order feedback lacking autocatalysis. The dynamics of a finite number of coupled biochemical oscillators may account for

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Ipsen, M., F. Hynne, and P. G. Sørensen. "Amplitude Equations and Chemical Reaction–Diffusion Systems." International Journal of Bifurcation and Chaos 07, no. 07 (1997): 1539–54. http://dx.doi.org/10.1142/s0218127497001217.

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The paper discusses the use of amplitude equations to describe the spatio-temporal dynamics of a chemical reaction–diffusion system based on an Oregonator model of the Belousov–Zhabotinsky reaction. Sufficiently close to a supercritical Hopf bifurcation the reaction–diffusion equation can be approximated by a complex Ginzburg–Landau equation with parameters determined by the original equation at the point of operation considered. We illustrate the validity of this reduction by comparing numerical spiral wave solutions to the Oregonator reaction–diffusion equation with the corresponding solutio

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PALACIOS, ANTONIO, PETER BLOMGREN, and SCOTT GASNER. "BIFURCATION ANALYSIS OF HOPPING BEHAVIOR IN CELLULAR PATTERN-FORMING SYSTEMS." International Journal of Bifurcation and Chaos 17, no. 02 (2007): 509–20. http://dx.doi.org/10.1142/s0218127407017380.

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We use symmetry-based arguments to derive normal form equations for studying the temporal behavior of a particular spatio-temporal dynamic cellular pattern, called "hopping" state, which we have recently discovered in computer simulations of a generic example of an extended, deterministic, pattern-forming system in a circular domain. Hopping states are characterized by cellular structures that sequentially make abrupt changes in their angular positions while they rotate, collectively, about the center of the circular domain. A mode decomposition analysis suggests that these patterns are create

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BURLAKOV, VICTOR M. "SPATIAL- AND SPATIO-TEMPORAL PATTERN FORMATION IN OPTICALLY DRIVEN DISCRETE SYSTEMS." International Journal of Modern Physics B 13, no. 07 (1999): 791–805. http://dx.doi.org/10.1142/s0217979299000667.

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Dynamical coherent structure (pattern) formation in the Klein–Gordon lattice excited by periodic external field near the optical resonance is studied. It is shown that the patterns involve spatial or spatio-temporal modulation of particles vibration amplitude in the lattice and can be generated in rather broad region of excitation parameters. An influence of cubic anharmonicity in the lattice potential and that of random noise on the pattern formation is examined.

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Sulis, William. "Transients as the Basis for Information Flow in Complex Adaptive Systems." Entropy 21, no. 1 (2019): 94. http://dx.doi.org/10.3390/e21010094.

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Information is the fundamental currency of naturally occurring complex adaptive systems, whether they are individual organisms or collective social insect colonies. Information appears to be more important than energy in determining the behavior of these systems. However, it is not the quantity of information but rather its salience or meaning which is significant. Salience is not, in general, associated with instantaneous events but rather with spatio-temporal transients of events. This requires a shift in theoretical focus from instantaneous states towards spatio-temporal transients as the p

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18

Lai, Ying-Cheng, and Raimond L. Winslow. "Extreme sensitive dependence on parameters and initial conditions in spatio-temporal chaotic dynamical systems." Physica D: Nonlinear Phenomena 74, no. 3-4 (1994): 353–71. http://dx.doi.org/10.1016/0167-2789(94)90200-3.

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19

Klyushina, E. S., Yu S. Krivosenko, and A. A. Pavlychev. "Spatio-Temporal Dynamical Systems in Inner-Shell Photoionization in Free Molecules, Clusters, and Solids." Journal of Mathematical Sciences 202, no. 6 (2014): 835–48. http://dx.doi.org/10.1007/s10958-014-2080-z.

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20

Buitink, Joost, Lieke A. Melsen, James W. Kirchner, and Adriaan J. Teuling. "A distributed simple dynamical systems approach (dS2 v1.0) for computationally efficient hydrological modelling at high spatio-temporal resolution." Geoscientific Model Development 13, no. 12 (2020): 6093–110. http://dx.doi.org/10.5194/gmd-13-6093-2020.

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Abstract. In this paper, we introduce a new numerically robust distributed rainfall–runoff model for computationally efficient simulation at high spatio-temporal resolution: the distributed simple dynamical systems (dS2) model. The model is based on the simple dynamical systems approach as proposed by Kirchner (2009), and the distributed implementation allows for spatial heterogeneity in the parameters and/or model forcing fields at high spatio-temporal resolution (for instance as derived from precipitation radar data). The concept is extended with snow and routing modules, where the latter tr

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Hart, Joseph D., Laurent Larger, Thomas E. Murphy, and Rajarshi Roy. "Delayed dynamical systems: networks, chimeras and reservoir computing." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2153 (2019): 20180123. http://dx.doi.org/10.1098/rsta.2018.0123.

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We present a systematic approach to reveal the correspondence between time delay dynamics and networks of coupled oscillators. After early demonstrations of the usefulness of spatio-temporal representations of time-delay system dynamics, extensive research on optoelectronic feedback loops has revealed their immense potential for realizing complex system dynamics such as chimeras in rings of coupled oscillators and applications to reservoir computing. Delayed dynamical systems have been enriched in recent years through the application of digital signal processing techniques. Very recently, we h

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Guo, L. Z., S. A. Billings, and D. Coca. "Identification of partial differential equation models for a class of multiscale spatio-temporal dynamical systems." International Journal of Control 83, no. 1 (2009): 40–48. http://dx.doi.org/10.1080/00207170903085597.

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23

Guo, L. Z., S. S. Mei, and S. A. Billings. "Neighbourhood detection and identification of spatio-temporal dynamical systems using a coarse-to-fine approach." International Journal of Systems Science 38, no. 1 (2007): 1–15. http://dx.doi.org/10.1080/00207720600825339.

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24

Coulliette, C., and S. Wiggins. "Intergyre transport in a wind-driven, quasigeostrophic double gyre: An application of lobe dynamics." Nonlinear Processes in Geophysics 7, no. 1/2 (2000): 59–85. http://dx.doi.org/10.5194/npg-7-59-2000.

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Abstract. We study the flow obtained from a three-layer, eddy-resolving quasigeostrophic ocean circulation model subject to an applied wind stress curl. For this model we will consider transport between the northern and southern gyres separated by an eastward jet. We will focus on the use of techniques from dynamical systems theory, particularly lobe dynamics, in the forming of geometric structures that govern transport. By "govern", we mean they can be used to compute Lagrangian transport quantities, such as the flux across the jet. We will consider periodic, quasiperiodic, and chaotic veloci

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Coulliette, C., and S. Wiggins. "Intergyre transport in a wind-driven, quasigeostrophic double gyre: An application of lobe dynamics." Nonlinear Processes in Geophysics 8, no. 1/2 (2001): 69–94. http://dx.doi.org/10.5194/npg-8-69-2001.

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Abstract. We study the flow obtained from a three-layer, eddy-resolving quasigeostrophic ocean circulation model subject to an applied wind stress curl. For this model we will consider transport between the northern and southern gyres separated by an eastward jet. We will focus on the use of techniques from dynamical systems theory, particularly lobe dynamics, in the forming of geometric structures that govern transport. By "govern", we mean they can be used to compute Lagrangian transport quantities, such as the flux across the jet. We will consider periodic, quasiperiodic, and chaotic veloci

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26

Wilson, R. Eddie. "Mechanisms for spatio-temporal pattern formation in highway traffic models." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1872 (2008): 2017–32. http://dx.doi.org/10.1098/rsta.2008.0018.

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A key qualitative requirement for highway traffic models is the ability to replicate a type of traffic jam popularly referred to as a phantom jam , shock wave or stop-and-go wave . Despite over 50 years of modelling, the precise mechanisms for the generation and propagation of stop-and-go waves and the associated spatio-temporal patterns are in dispute. However, the increasing availability of empirical datasets, such as those collected from motorway incident detection and automatic signalling system (MIDAS) inductance loops in the UK or the next-generation simulation trajectory data (NGSIM) pr

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KOZMA, ROBERT, MARKO PULJIC, and LEONID PERLOVSKY. "MODELING GOAL-ORIENTED DECISION MAKING THROUGH COGNITIVE PHASE TRANSITIONS." New Mathematics and Natural Computation 05, no. 01 (2009): 143–57. http://dx.doi.org/10.1142/s1793005709001246.

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Cognitive experiments indicate the presence of discontinuities in brain dynamics during high-level cognitive processing. Non-linear dynamic theory of brains pioneered by Freeman explains the experimental findings through the theory of metastability and edge-of-criticality in cognitive systems, which are key properties associated with robust operation and fast and reliable decision making. Recently, neuropercolation has been proposed to model such critical behavior. Neuropercolation is a family of probabilistic models based on the mathematical theory of bootstrap percolations on lattices and ra

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Grace, Miriam, and Marc-Thorsten Hütt. "Predictability of spatio-temporal patterns in a lattice of coupled FitzHugh–Nagumo oscillators." Journal of The Royal Society Interface 10, no. 81 (2013): 20121016. http://dx.doi.org/10.1098/rsif.2012.1016.

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In many biological systems, variability of the components can be expected to outrank statistical fluctuations in the shaping of self-organized patterns. In pioneering work in the late 1990s, it was hypothesized that a drift of cellular parameters (along a ‘developmental path’), together with differences in cell properties (‘desynchronization’ of cells on the developmental path) can establish self-organized spatio-temporal patterns (in their example, spiral waves of cAMP in a colony of Dictyostelium discoideum cells) starting from a homogeneous state. Here, we embed a generic model of an excita

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SANCHEZ, JUAN R. "MULTIFRACTAL CHARACTERISTICS OF LINEAR ONE-DIMENSIONAL CELLULAR AUTOMATA." International Journal of Modern Physics C 14, no. 04 (2003): 491–99. http://dx.doi.org/10.1142/s0129183103004681.

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Cellular automata (CA) can be considered as discrete dynamical systems exhibiting a rich intrinsic behavior both in space and time. Starting from disordered initial configurations and according to different local evolution rules, CA can evolve into steady states showing regular or complex space–time structures. These structures have been shown to have fractal and multifractal properties. Here, the multifractal properties of linear one-dimensional cellular automata with complex spatio-temporal behaviors are calculated using discrete wavelets transforms.

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Malchow, H., and N. Shigesada. "Nonequilibrium plankton community structures in an ecohydrodynamic model system." Nonlinear Processes in Geophysics 1, no. 1 (1994): 3–11. http://dx.doi.org/10.5194/npg-1-3-1994.

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Abstract. Due to the local and global impacts of algae blooms and patchiness on water quality, carbon cycling and climate, models of plankton dynamics are of current interest. In this paper, the temporal and spatial patterns in natural plankton communities are interpreted as transient and stationary nonequilibrium solutions of dynamical nonlinear interaction-diffusion-advection systems. A simple model of phytoplankton-zooplankton dynamics (Scheffer, 1991) is presented in space and time. After summarizing the local properties as multiple stability and oscillations, the emergence of spatial and

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Expert, Paul, Renaud Lambiotte, Dante R. Chialvo, et al. "Self-similar correlation function in brain resting-state functional magnetic resonance imaging." Journal of The Royal Society Interface 8, no. 57 (2010): 472–79. http://dx.doi.org/10.1098/rsif.2010.0416.

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Adaptive behaviour, cognition and emotion are the result of a bewildering variety of brain spatio-temporal activity patterns. An important problem in neuroscience is to understand the mechanism by which the human brain's 100 billion neurons and 100 trillion synapses manage to produce this large repertoire of cortical configurations in a flexible manner. In addition, it is recognized that temporal correlations across such configurations cannot be arbitrary, but they need to meet two conflicting demands: while diverse cortical areas should remain functionally segregated from each other, they mus

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Ning, Hanwen, and Xingjian Jing. "Identification of partially known non-linear stochastic spatio-temporal dynamical systems by using a novel partially linear Kernel method." IET Control Theory & Applications 9, no. 1 (2015): 21–33. http://dx.doi.org/10.1049/iet-cta.2014.0242.

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Lakshmanan, M. "The fascinating world of the Landau–Lifshitz–Gilbert equation: an overview." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369, no. 1939 (2011): 1280–300. http://dx.doi.org/10.1098/rsta.2010.0319.

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The Landau–Lifshitz–Gilbert (LLG) equation is a fascinating nonlinear evolution equation both from mathematical and physical points of view. It is related to the dynamics of several important physical systems such as ferromagnets, vortex filaments, moving space curves, etc. and has intimate connections with many of the well-known integrable soliton equations, including nonlinear Schrödinger and sine-Gordon equations. It can admit very many dynamical structures including spin waves, elliptic function waves, solitons, dromions, vortices, spatio-temporal patterns, chaos, etc. depending on the phy

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Fronzoni, Leone, and Michele Giocondo. "Controlling Chaos with Parametric Perturbations." International Journal of Bifurcation and Chaos 08, no. 08 (1998): 1693–98. http://dx.doi.org/10.1142/s0218127498001364.

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We consider the effects of parametric perturbation on the onset of chaos in different dynamical systems. Favoring or suppression of chaos was observed depending on the phase or the frequency of the periodic perturbation. A lowering of the threshold of chaos was observed in an electronic device simulating a Josephson-Junction model and the suppression of chaos was obtained in a bistable mechanical device. We showed that in case of spatial instability in a sample of liquid crystal, the action of the parametric perturbation is to modify the velocity and the onset of the defects. Considering that

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Ortega, Juan-Pablo. "Relative normal modes for nonlinear Hamiltonian systems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 133, no. 3 (2003): 665–704. http://dx.doi.org/10.1017/s0308210500002602.

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An estimate on the number of distinct relative periodic orbits around a stable relative equilibrium in a Hamiltonian system with continuous symmetry is given. This result constitutes a generalization to the Hamiltonian symmetric framework of a classical result by Weinstein and Moser on the existence of periodic orbits in the energy levels surrounding a stable equilibrium. The estimate obtained is very precise in the sense that it provides a lower bound for the number of relative periodic orbits at each prescribed energy and momentum values neighbouring the stable relative equilibrium in questi

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Goldbeter, Albert. "Dissipative structures in biological systems: bistability, oscillations, spatial patterns and waves." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2124 (2018): 20170376. http://dx.doi.org/10.1098/rsta.2017.0376.

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The goal of this review article is to assess how relevant is the concept of dissipative structure for understanding the dynamical bases of non-equilibrium self-organization in biological systems, and to see where it has been applied in the five decades since it was initially proposed by Ilya Prigogine. Dissipative structures can be classified into four types, which will be considered, in turn, and illustrated by biological examples: (i) multistability, in the form of bistability and tristability, which involve the coexistence of two or three stable steady states, or in the form of birhythmicit

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Nwokoye, ChukwuNonso, and Ikechukwu Umeh. "Analytic-agent cyber dynamical systems analysis and design method for modeling spatio-temporal factors of malware propagation in wireless sensor networks." MethodsX 5 (2018): 1373–98. http://dx.doi.org/10.1016/j.mex.2018.10.005.

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MUEZZINOGLU, MEHMET K., IRMA TRISTAN, RAMON HUERTA, VALENTIN S. AFRAIMOVICH, and MIKHAIL I. RABINOVICH. "TRANSIENTS VERSUS ATTRACTORS IN COMPLEX NETWORKS." International Journal of Bifurcation and Chaos 20, no. 06 (2010): 1653–75. http://dx.doi.org/10.1142/s0218127410026745.

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Understanding and predicting the behavior of complex multiagent systems like brain or ecological food net requires new approaches and paradigms. Traditional analyses based on just asymptotic results of behavior as time goes to infinity, or on straightforward mathematical images that can accommodate only fixed points or limit cycles do not tell much about these systems. To obtain sensible dynamical models of natural phenomena, such as the reproducible order observed in ecological, cognitive or behavioral experiments, one cannot afford to neglect the transient dynamics of the underlying complex

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García-Garrido, V. J., A. M. Mancho, S. Wiggins, and C. Mendoza. "A dynamical systems perspective on the absence of debris associated with the disappearance of flight MH370." Nonlinear Processes in Geophysics Discussions 2, no. 4 (2015): 1197–225. http://dx.doi.org/10.5194/npgd-2-1197-2015.

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Abstract. The disappearance of Malaysia Airlines flight MH370 on the morning of the 8 March 2014 is one of the great mysteries of our time. Perhaps the most relevant aspect of this mystery is that not a single piece of debris from the aircraft has been found. Difficulties in the search efforts, due to the uncertainty in the plane's final impact point and the time that has passed since the accident, bring the question on how the debris has scattered in an always moving ocean, for which there are multiple data sets that do not uniquely determine its state. Our approach to this problem is based o

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Kuske, R., and D. Yurchenko. "Editorial." European Journal of Applied Mathematics 30, no. 5 (2019): 829. http://dx.doi.org/10.1017/s0956792518000694.

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The origin of this special issue took place at the 9th European Nonlinear Dynamics Conference (ENOC 2017) in Budapest, Hungary. Specifically, the mini-symposium on Random Dynamical Systems – Recent Advances and New Directions brought together novel perspectives on analyzing stochastic dynamics with applications including biology, structural dynamics, control, energy and mechanics. The expanded use of stochasticity in more realistic models exposes questions related to bifurcations, meta-stability, tipping and early warning signals, multiscale dynamics, and connections between chaos and stochast

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Willis, Gary, and Gunnar Pruessner. "Spatio-temporal correlations in the Manna model in one, three and five dimensions." International Journal of Modern Physics B 32, no. 05 (2018): 1830002. http://dx.doi.org/10.1142/s0217979218300025.

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Although the paradigm of criticality is centered around spatial correlations and their anomalous scaling, not many studies of self-organized criticality (SOC) focus on spatial correlations. Often, integrated observables, such as avalanche size and duration, are used, not least as to avoid complications due to the unavoidable lack of translational invariance. The present work is a survey of spatio-temporal correlation functions in the Manna Model of SOC, measured numerically in detail in [Formula: see text] = 1,3 and 5 dimensions and compared to theoretical results, in particular relating them

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García-Garrido, V. J., A. M. Mancho, S. Wiggins, and C. Mendoza. "A dynamical systems approach to the surface search for debris associated with the disappearance of flight MH370." Nonlinear Processes in Geophysics 22, no. 6 (2015): 701–12. http://dx.doi.org/10.5194/npg-22-701-2015.

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Abstract. The disappearance of Malaysia Airlines flight MH370 on the morning of 8 March 2014 is one of the great mysteries of our time. Perhaps the most relevant aspect of this mystery is that not a single piece of debris from the aircraft was found during the intensive surface search carried out for roughly 2 months following the crash. Difficulties in the search efforts, due to the uncertainty of the plane's final impact point and the time that had passed since the accident, bring the question on how the debris scattered in an always moving ocean, for which there are multiple data sets that

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KOZMA, ROBERT, and H. JOHN CAULFIELD. "NEURODYNAMIC CORRELATES OF HIGHER COGNITION AND CONSCIOUSNESS — EDITORIAL." New Mathematics and Natural Computation 05, no. 01 (2009): 1–6. http://dx.doi.org/10.1142/s1793005709001350.

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In spite of the explosive growth of experimental research in basic neurobiology and neurophysiology of brain components in the past decade, understanding the integrated functioning of the brain remains a significant scientific challenge. Essential for understanding human brain function is the detailed knowledge concerning the spatio-temporal dynamics of neuronal populations and their intricate interactions during cognitive functions. The aim of the present issue is to examine brain dynamics and cognitive functions from a multidisciplinary perspective and to introduce the most recent results in

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CROUNSE, K. R., L. O. CHUA, P. THIRAN, and G. SETTI. "CHARACTERIZATION AND DYNAMICS OF PATTERN FORMATION IN CELLULAR NEURAL NETWORKS." International Journal of Bifurcation and Chaos 06, no. 09 (1996): 1703–24. http://dx.doi.org/10.1142/s0218127496001053.

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We study some properties of pattern formation arising in large arrays of locally coupled first-order nonlinear dynamical systems, namely Cellular Neural Networks (CNNs). We will present exact results to analyze spatial patterns for symmetric coupling and to analyze spatio-temporal patterns for anti-symmetric coupling in one-dimensional lattices, which will then be completed by approximative results based on a spatial and/or temporal frequency approach. We will discuss the validity of these approximations, which bring a lot of insight. This spectral approach becomes very convenient for the two-

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Amoddeo, Antonino. "Modeling Avascular Tumor Growth: Approach with an Adaptive Grid Numerical Technique." Journal of Multiscale Modelling 09, no. 03 (2018): 1840002. http://dx.doi.org/10.1142/s1756973718400024.

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The mathematical modeling of complex biological systems leads to system of coupled nonlinear partial differential equations (PDEs). In this paper, we present a short review on the interaction of the urokinase plasminogen activator (uPA) system with a model for cancer cell in the avascular phase, faced using the moving mesh PDE/(MMPDE) numerical technique. The dynamical evolution of the system as a function of the diffusion properties of cancer cells has been considered, as well as the effect of hypoxia to the cancer evolution, introducing a model equation for the nutrient oxygen. The model par

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Sanghi, Sanjeev, and Nadine Aubry. "Mode interaction models for near-wall turbulence." Journal of Fluid Mechanics 247 (February 1993): 455–88. http://dx.doi.org/10.1017/s0022112093000527.

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Intermittent bursting events, similar to those characterizing the dynamics of near-wall turbulence, have been observed in a low-dimensional dynamical model (Aubry et al. 1988) built from eigenfunctions of the proper orthogonal decomposition (Lumley 1967). In the present work, we investigate the persistency of the intermittent behaviour in higher - but still of relatively low-dimensional dynamical systems. In particular, streamwise variations which were not accounted for in an explicit way in Aubry et al.'s model are now considered. Intermittent behaviour persists but can be of a different natu

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Doyon, Benjamin, and Jason Myers. "Fluctuations in Ballistic Transport from Euler Hydrodynamics." Annales Henri Poincaré 21, no. 1 (2019): 255–302. http://dx.doi.org/10.1007/s00023-019-00860-w.

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AbstractWe propose a general formalism, within large-deviation theory, giving access to the exact statistics of fluctuations of ballistically transported conserved quantities in homogeneous, stationary states. The formalism is expected to apply to any system with an Euler hydrodynamic description, classical or quantum, integrable or not, in or out of equilibrium. We express the exact scaled cumulant generating function (or full counting statistics) for any (quasi-)local conserved quantity in terms of the flux Jacobian. We show that the “extended fluctuation relations” of Bernard and Doyon foll

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Klamser, Pascal P., and Pawel Romanczuk. "Collective predator evasion: Putting the criticality hypothesis to the test." PLOS Computational Biology 17, no. 3 (2021): e1008832. http://dx.doi.org/10.1371/journal.pcbi.1008832.

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According to the criticality hypothesis, collective biological systems should operate in a special parameter region, close to so-called critical points, where the collective behavior undergoes a qualitative change between different dynamical regimes. Critical systems exhibit unique properties, which may benefit collective information processing such as maximal responsiveness to external stimuli. Besides neuronal and gene-regulatory networks, recent empirical data suggests that also animal collectives may be examples of self-organized critical systems. However, open questions about self-organiz

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Wolters, E. L. A., B. J. J. M. van den Hurk, and R. A. Roebeling. "Evaluation of rainfall retrievals from SEVIRI reflectances over West Africa using TRMM-PR and CMORPH." Hydrology and Earth System Sciences 15, no. 2 (2011): 437–51. http://dx.doi.org/10.5194/hess-15-437-2011.

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Abstract. This paper describes the evaluation of the KNMI Cloud Physical Properties – Precipitation Properties (CPP-PP) algorithm over West Africa. The algorithm combines condensed water path (CWP), cloud phase (CPH), cloud particle effective radius (re), and cloud-top temperature (CTT) retrievals from visible, near-infrared and thermal infrared observations of the Spinning Enhanced Visible and Infrared Imager (SEVIRI) onboard the Meteosat Second Generation (MSG) satellites to estimate rain occurrence frequency and rain rate. For the 2005 and 2006 monsoon seasons, it is investigated whether th

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Lorente, Pablo, Marcos García-Sotillo, Arancha Amo-Baladrón, et al. "Skill assessment of global, regional, and coastal circulation forecast models: evaluating the benefits of dynamical downscaling in IBI (Iberia–Biscay–Ireland) surface waters." Ocean Science 15, no. 4 (2019): 967–96. http://dx.doi.org/10.5194/os-15-967-2019.

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Abstract. In this work, a multi-parameter inter-comparison of diverse ocean forecast models was conducted at the sea surface ranging from global to local scales in a two-phase stepwise strategy. Firstly, a comparison of CMEMS GLOBAL and the nested CMEMS IBI regional system was performed against satellite-derived and in situ observations. Results highlighted the overall benefits of both the GLOBAL direct data assimilation in open water and the increased horizontal resolution of IBI in coastal areas. Besides, IBI (Iberia–Biscay–Ireland) proved to capture shelf dynamics by better representing the

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