Relevant bibliographies by topics / Higher-dimensional maps

Academic literature on the topic 'Higher-dimensional maps'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Higher-dimensional maps"

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BALOGH, ZOLTAN M., and CHRISTOPH LEUENBERGER. "HIGHER DIMENSIONAL RIEMANN MAPS." International Journal of Mathematics 09, no. 04 (June 1998): 421–42. http://dx.doi.org/10.1142/s0129167x9800018x.

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We consider the notion of Riemann map of Lempert and Semmes. The purpose of this paper is to give an intrinsic and biholomorphically invariant characterization of strictly pseudoconvex domains in Cn which admit a Riemann map. In this sense necessary and sufficient conditions are given for the existence of a Riemann map in terms of Kobayashi discs and the associated Lempert invariants.
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Mira, C. "Noninvertible maps and their embedding into higher dimensional invertible maps." Regular and Chaotic Dynamics 15, no. 2-3 (April 27, 2010): 246–60. http://dx.doi.org/10.1134/s1560354710020127.

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Góra, P., A. Boyarsky, and Y. S. Lou. "Lyapunov exponents for higher dimensional random maps." Journal of Applied Mathematics and Stochastic Analysis 10, no. 3 (January 1, 1997): 209–18. http://dx.doi.org/10.1155/s1048953397000270.

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A random map is a discrete time dynamical system in which one of a number of transformations is selected randomly and implemented. Random maps have been used recently to model interference effects in quantum physics. The main results of this paper deal with the Lyapunov exponents for higher dimensional random maps, where the individual maps are Jabloński maps on the n-dimensional cube.
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Mihailescu, Eugen. "Higher dimensional expanding maps and toral extensions." Proceedings of the American Mathematical Society 141, no. 10 (June 12, 2013): 3467–75. http://dx.doi.org/10.1090/s0002-9939-2013-11597-2.

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Balreira, E. Cabral, Saber Elaydi, and Rafael Luís. "Global stability of higher dimensional monotone maps." Journal of Difference Equations and Applications 23, no. 12 (October 12, 2017): 2037–71. http://dx.doi.org/10.1080/10236198.2017.1388375.

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Boyarsky, A., W. Byers, and P. Gauthier. "Higher dimensional analogues of the tent maps." Nonlinear Analysis: Theory, Methods & Applications 11, no. 11 (November 1987): 1317–24. http://dx.doi.org/10.1016/0362-546x(87)90048-4.

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RICHTER, HENDRIK. "THE GENERALIZED HÉNON MAPS: EXAMPLES FOR HIGHER-DIMENSIONAL CHAOS." International Journal of Bifurcation and Chaos 12, no. 06 (June 2002): 1371–84. http://dx.doi.org/10.1142/s0218127402005121.

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The generalized Hénon maps (GHM) are discrete-time systems with given finite dimension, which show chaotic and hyperchaotic behavior for certain parameter values and initial conditions. A study of these maps is given where particularly higher-dimensional cases are considered.
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Sano, Yuki, Pierre Arnoux, and Shunji Ito. "Higher dimensional extensions of substitutions and their dual maps." Journal d'Analyse Mathématique 83, no. 1 (December 2001): 183–206. http://dx.doi.org/10.1007/bf02790261.

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Ruan, Huo-Jun, and Robert S. Strichartz. "Covering Maps and Periodic Functions on Higher Dimensional Sierpinski Gaskets." Canadian Journal of Mathematics 61, no. 5 (October 1, 2010): 1151–81. http://dx.doi.org/10.4153/cjm-2009-054-5.

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Abstract.We construct covering maps from infinite blowups of the$n$-dimensional Sierpinski gasket$S{{G}_{n}}$to certain compact fractafolds based on$S{{G}_{n}}$. These maps are fractal analogs of the usual covering maps fromthe line to the circle. The construction extends work of the second author in the case$n=2$, but a differentmethod of proof is needed, which amounts to solving a Sudoku-type puzzle. We can use the covering maps to define the notion of periodic function on the blowups. We give a characterization of these periodic functions and describe the analog of Fourier series expansions. We study covering maps onto quotient fractalfolds. Finally, we show that such covering maps fail to exist for many other highly symmetric fractals.
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BOYARSKY, A., and Y. S. LOU. "CHAOTIC BEHAVIOR OF HIGHER DIMENSIONAL TRANSFORMATIONS DEFINED ON COUNTABLE PARTITIONS." International Journal of Bifurcation and Chaos 03, no. 04 (August 1993): 1045–49. http://dx.doi.org/10.1142/s0218127493000866.

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Jablonski maps are higher dimensional maps defined on rectangular partitions with each component a function of only one variable. It is well known that expanding Jablonski maps have absolutely continuous invariant measures. In this note we consider Jablonski maps defined on countable partitions. Such maps occur, for example, in multivariable number theoretic problems. The main result establishes the existence of an absolutely continuous invariant measure for Jablonski maps on a countable partition with the additional condition that the images of all the partition elements form a finite collection. An example is given.
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Dissertations / Theses on the topic "Higher-dimensional maps"

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Lionni, Luca. "Colored discrete spaces : Higher dimensional combinatorial maps and quantum gravity." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLS270/document.

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On considère, en deux dimensions, une version euclidienne discrète de l’action d’Einstein-Hilbert, qui décrit la gravité en l’absence de matière. À l’intégration sur les géométries se substitue une sommation sur des surfaces triangulées aléatoires. Dans la limite physique de faible gravité, seules les triangulations planaires survivent. Leur limite en distribution, la carte brownienne, est une surface fractale continue dont l’importance dans le contexte de la gravité quantique en deux dimensions a été récemment précisée. Cet espace est interprété comme un espace-temps quantique, obtenu comme limite à grande échelle d’un ensemble statistique de surfaces discrètes aléatoires. En deux dimensions, on peut donc étudier les propriétés fractales de la gravité quantique via une approche discrète. Il est bien connu que les généralisations directes en dimensions supérieures échouent à produire des espace-temps quantiques aux propriétés adéquates : en dimension D>2, la limite en distribution des triangulations qui survivent dans la limite de faible gravité est l’arbre continu aléatoire, ou polymères branchés en physique. Si en deux dimensions on parvient aux mêmes conclusions en considérant non pas des triangulations, mais des surfaces discrètes aléatoires obtenues par recollements de 2p-gones, nous savons depuis peu que ce n’est pas toujours le cas en dimension D>2. L’apparition de nouvelles limites continues dans le cadre de théories de gravité impliquant des espaces discrets aléatoires reste une question ouverte. Nous étudions des espaces obtenus par recollements de blocs élémentaires, comme des polytopes à facettes triangulaires. Dans la limite de faible gravité, seuls les espaces qui maximisent la courbure moyenne survivent. Les identifier est cependant une tâche ardue dans le cas général, pour lequel les résultats sont obtenus numériquement. Afin d’obtenir des résultats analytiques, une coloration des (D-1)-cellules, les facettes, a été introduite. En toute dimension paire, on peut trouver des familles d’espaces discrets colorés de courbure moyenne maximale dans la classe d’universalité des arbres – convergeant vers l’arbre continu aléatoire, des cartes planaires – convergeant vers la carte brownienne, ou encore dans la classe de prolifération des bébé-univers. Cependant, ces résultats sont obtenus en raison de la simplicité de blocs élémentaires dont la structure uni ou bidimensionnelle ne rend pas compte de la riche diversité des blocs colorés en dimensions supérieures. Le premier objectif de cette thèse est donc d’établir des outils combinatoires qui permettraient une étude systématique des blocs élémentaires colorés et des espaces discrets qu’ils génèrent. Le principal résultat de ce travail est l’établissement d’une bijection entre ces espaces et des familles de cartes combinatoires, qui préserve l’information sur la courbure locale. Elle permet l’utilisation de résultats sur les surfaces discrètes et ouvre la voie à une étude systématique des espaces discrets en dimensions supérieures à deux. Cette bijection est appliquée à la caractérisation d’un certain nombre de blocs de petites tailles ainsi qu’à une nouvelle famille infinie. Le lien avec les modèles de tenseurs aléatoires est détaillé. Une attention particulière est donnée à la détermination du nombre maximal de (D-2)-cellules et de l’action appropriée du modèle de tenseurs correspondant. Nous montrons comment utiliser la bijection susmentionnée pour identifier les contributions à un tout ordre du développement en 1/N des fonctions à 2n points du modèle SYK coloré, et appliquons ceci à l’énumération des cartes unicellulaires généralisées – les espaces discrets obtenus par recollement d’un unique bloc élémentaire – selon leur courbure moyenne. Pour tout choix de blocs colorés, nous montrons comment réécrire la théorie d’Einstein-Hilbert discrète correspondante comme un modèle de matrices aléatoires avec traces partielles, dit représentation en champs intermédiaires
In two dimensions, the Euclidean Einstein-Hilbert action, which describes gravity in the absence of matter, can be discretized over random triangulations. In the physical limit of small Newton's constant, only planar triangulations survive. The limit in distribution of planar triangulations - the Brownian map - is a continuum fractal space which importance in the context of two-dimensional quantum gravity has been made more precise over the last years. It is interpreted as a quantum continuum space-time, obtained in the thermodynamical limit from a statistical ensemble of random discrete surfaces. The fractal properties of two-dimensional quantum gravity can therefore be studied from a discrete approach. It is well known that direct higher dimensional generalizations fail to produce appropriate quantum space-times in the continuum limit: the limit in distribution of dimension D>2 triangulations which survive in the limit of small Newton's constant is the continuous random tree, also called branched polymers in physics. However, while in two dimensions, discretizing the Einstein-Hilbert action over random 2p-angulations - discrete surfaces obtained by gluing 2p-gons together - leads to the same conclusions as for triangulations, this is not always the case in higher dimensions, as was discovered recently. Whether new continuum limit arise by considering discrete Einstein-Hilbert theories of more general random discrete spaces in dimension D remains an open question.We study discrete spaces obtained by gluing together elementary building blocks, such as polytopes with triangular facets. Such spaces generalize 2p-angulations in higher dimensions. In the physical limit of small Newton's constant, only discrete spaces which maximize the mean curvature survive. However, identifying them is a task far too difficult in the general case, for which quantities are estimated throughout numerical computations. In order to obtain analytical results, a coloring of (D-1)-cells has been introduced. In any even dimension, we can find families of colored discrete spaces of maximal mean curvature in the universality classes of trees - converging towards the continuous random tree, of planar maps - converging towards the Brownian map, or of proliferating baby universes. However, it is the simple structure of the corresponding building blocks which makes it possible to obtain these results: it is similar to that of one or two dimensional objects and does not render the rich diversity of colored building blocks in dimensions three and higher.This work therefore aims at providing combinatorial tools which would enable a systematic study of the building blocks and of the colored discrete spaces they generate. The main result of this thesis is the derivation of a bijection between colored discrete spaces and colored combinatorial maps, which preserves the information on the local curvature. It makes it possible to use results from combinatorial maps and paves the way to a systematical study of higher dimensional colored discrete spaces. As an application, a number of blocks of small sizes are analyzed, as well as a new infinite family of building blocks. The relation to random tensor models is detailed. Emphasis is given to finding the lowest bound on the number of (D-2)-cells, which is equivalent to determining the correct scaling for the corresponding tensor model. We explain how the bijection can be used to identify the graphs contributing at any given order of the 1/N expansion of the 2n-point functions of the colored SYK model, and apply this to the enumeration of generalized unicellular maps - discrete spaces obtained from a single building block - according to their mean curvature. For any choice of colored building blocks, we show how to rewrite the corresponding discrete Einstein-Hilbert theory as a random matrix model with partial traces, the so-called intermediate field representation
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Onken, Franziska. "Bifurcations of families of 1-tori in 4D symplectic maps." Master's thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-175120.

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The dynamics of Hamiltonian systems (e.g. planetary motion, electron dynamics in nano-structures, molecular dynamics) can be investigated by symplectic maps. While a lot of work has been done for 2D maps, much less is known for higher dimensions. For a generic 4D map regular 2D-tori are organized around a skeleton of families of elliptic 1D-tori, which can be visualized by 3D phase-space slices. An analysis of the different bifurcations of the families of 1D-tori in phase space and in frequency space by computing the involved hyperbolic and elliptic 1D-tori is presented. Applying known results of normal form analysis, both the local and the global structure can be understood: Close to a bifurcation of a 1D-torus, the phase-space structures are surprisingly similar to bifurcations of periodic orbits in 2D maps. Far away the phase-space structures can be explained by remnants of broken resonant 2D-tori
Die Dynamik Hamilton'scher Syteme (z.B. Planetenbewegung, Elektronenbewegung in Nanostrukturen, Moleküldynamik) kann mit Hilfe symplektischer Abbildungen untersucht werden. Bezüglich 2D Abbildungen wurde bereits umfassende Forschungsarbeit geleistet, doch für Systeme höherer Dimension ist noch vieles unverstanden. In einer generischen 4D Abbildung sind reguläre 2D-Tori um ein Skelett aus Familien von elliptischen 1D-Tori organisiert, was in 3D Phasenraumschnitten visualisiert werden kann. Durch die Berechnung der beteiligten hyperbolischen und elliptischen 1D-Tori werden die verschiedenen Bifurkationen der Familien von 1D-Tori im Phasenraum und im Frequenzraum analysiert. Die Anwendung bekannter Ergebnisse aus Normalformanalysen ermöglicht das Verständnis sowohl des lokalen, als auch des globalen Regimes. Nahe an der Bifurkation eines 1D-Torus sind die Phasenraumstrukturen denen von Bifurkationen periodischer Orbits in 2D Abbildungen überraschend ähnlich. Weit entfernt können die Phasenraumstrukturen als Überreste eines zerplatzten resonanten 2D-Torus erklärt werden
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Hällgren, Tomas. "Aspects of Dimensional Deconstruction and Neutrino Physics." Doctoral thesis, KTH, Teoretisk partikelfysik, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4480.

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The existence of at or curved extra spatial dimensions provides new insights into several of the problems which face the Standard Model of particle physics, including the gauge hierarchy problem, the smallness of neutrino masses, and the dark matter problem. However, higher-dimensional gauge theories are not renormalizable and can only be considered as low-energy effective theories, with limited applicability. Dimensional deconstruction provides a class of manifestly gauge invariant possible ultraviolet completions of higher-dimensional gauge theories, formulated within conventional quantum eld theory. In dimensional deconstruction, the fundamental theory is a four-dimensional quantum eld theory and extra spatial dimensions are generated dynamically at low energies. In this thesis, we study di erent applications of dimensional deconstruction in the contexts of neutrino masses, mixing and oscillations, Kaluza{Klein dark matter, and e ective eld theories for discretized higher-dimensional gravity. A different possibility to understand the smallness of neutrino masses is provided by the see-saw mechanism. This is a genuinely four-dimensional mechanism, where the light neutrino masses are induced by the addition of heavy right-handed Majorana neutrinos or by other heavy degrees of freedom, such as scalar SU(2)L triplet elds. It has the attractive feature of simultaneously providing a mechanism for generating the observed baryon asymmetry of the Universe. We study in this context a specific left-right symmetric see-saw model.
QC 20100716
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Melbéus, Henrik. "Particle Phenomenology of Compact Extra Dimensions." Doctoral thesis, KTH, Teoretisk partikelfysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-93749.

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This thesis is an investigation of the subject of extra dimensions in particle physics. In recent years, there has been a large interest in this subject. In particular, a number of models have been suggested that provide solutions to some of the problem with the current Standard Model of particle physics. These models typically give rise to experimental signatures around the TeV energy scale, which means that they could be tested in the next generation of high-energy experiments, such as the LHC. Among the most important of these models are the universal extra dimensions model, the large extra dimensions model by Arkani-Hamed, Dimopolous, and Dvali, and models where right-handed neutrinos propagate in the extra dimensions. In the thesis, we study phenomenological aspects of these models, or simple modifications of them. In particular, we focus on Kaluza–Klein dark matter in universal extra dimensions models, different aspects of neutrino physics in higher dimensions, and collider phenomenology of extra dimensions. In addition, we consider consequences of the enhanced renormalization group running of physical parameters in higher-dimensional models.
QC 20120427
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Gauthier, Pierre Quinton. "Higher dimensional analogues of the tent maps." Thesis, 1987. http://spectrum.library.concordia.ca/3412/1/ML37070.pdf.

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Books on the topic "Higher-dimensional maps"

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Lionni, Luca. Colored Discrete Spaces: Higher Dimensional Combinatorial Maps and Quantum Gravity. Springer International Publishing AG, 2019.

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Lionni, Luca. Colored Discrete Spaces: Higher Dimensional Combinatorial Maps and Quantum Gravity. Springer, 2018.

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Book chapters on the topic "Higher-dimensional maps"

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Frøyland, Jan. "Higher Dimensional Maps." In Introduction to Chaos and Coherence, 49–57. New York: Routledge, 2022. http://dx.doi.org/10.1201/9780203750162-5.

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Collet, Pierre, and Jean-Pierre Eckmann. "Higher Dimensional Systems." In Iterated Maps on the Interval as Dynamical Systems, 56–62. Boston: Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4927-2_7.

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Pellicer, Daniel. "The Higher Dimensional Hemicuboctahedron." In Symmetries in Graphs, Maps, and Polytopes, 263–71. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30451-9_13.

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van Wyk, M. A., and W. H. Steeb. "Higher Dimensional Maps in Electronics." In Mathematical Modelling: Theory and Applications, 119–70. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8921-5_4.

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Koschorke, Ulrich. "Higher order homotopy invariants for higher dimensional link maps." In Lecture Notes in Mathematics, 116–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074427.

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Oshevskaya, Elena S. "Open Maps Bisimulations for Higher Dimensional Automata Models." In Fundamentals of Computation Theory, 274–86. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03409-1_25.

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Arroyo Ohori, Ken, Hugo Ledoux, and Jantien Stoter. "Modelling Higher Dimensional Data for GIS Using Generalised Maps." In Lecture Notes in Computer Science, 526–39. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-39637-3_41.

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Jansen, Camden, and Ali Mortazavi. "Progressive Clustering and Characterization of Increasingly Higher Dimensional Datasets with Living Self-organizing Maps." In Advances in Intelligent Systems and Computing, 285–93. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-19642-4_28.

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Tsugane, Keisuke, Taisuke Boku, Hitoshi Murai, Mitsuhisa Sato, William Tang, and Bei Wang. "Hybrid-View Programming of Nuclear Fusion Simulation Code in XcalableMP." In XcalableMP PGAS Programming Language, 181–203. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-7683-6_7.

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AbstractXcalableMP(XMP) supports a global-view model that allows programmers to define global data and to map them to a set of processors, which execute the distributed global data as a single thread. In XMP, the concept of a coarray is also employed for local-view programming. In this study, we port Gyrokinetic Toroidal Code - Princeton (GTC-P), which is a three-dimensional gyrokinetic PIC code developed at Princeton University to study the microturbulence phenomenon in magnetically confined fusion plasmas, to XMP as an example of hybrid memory model coding with the global-view and local-view programming models. In local-view programming, the coarray notation is simple and intuitive compared with Message Passing Interface (MPI) programming, while the performance is comparable to that of the MPI version. Thus, because the global-view programming model is suitable for expressing the data parallelism for a field of grid space data, we implement a hybrid-view version using a global-view programming model to compute the field and a local-view programming model to compute the movement of particles. The performance is degraded by 20% compared with the original MPI version, but the hybrid-view version facilitates more natural data expression for static grid space data (in the global-view model) and dynamic particle data (in the local-view model), and it also increases the readability of the code for higher productivity.
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"Higher-Dimensional Maps and Complex Maps." In Problems and Solutions, 88–180. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789813109933_0002.

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Conference papers on the topic "Higher-dimensional maps"

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Bonasera, Stefano, and Natasha Bosanac. "Applications of Clustering to Higher-Dimensional Poincaré Maps in Multi-Body Systems." In AIAA Scitech 2020 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2020. http://dx.doi.org/10.2514/6.2020-2178.

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Tanygin, Sergei. "Three-Axis Constrained Attitude Pathfinding and Visualization: Charting a Course on Higher-Dimensional Maps." In AIAA/AAS Astrodynamics Specialist Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2014. http://dx.doi.org/10.2514/6.2014-4101.

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Luque, Nereyda, Oscar León, Milagritos Arriola, Carlos Mariscal, and Greydy Estofanero. "Risk Areas Zoning Using a New 3D Seismic Refraction Technique in the Gas Pipeline Right-of Way of a Gas and Condensed Field in the Peruvian Jungle." In ASME-ARPEL 2021 International Pipeline Geotechnical Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/ipg2021-65004.

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Abstract The use of the new three-dimensional refraction technique was applied around the right-of-way (DDV) of the hydrocarbon gathering pipeline system (U-200), approximately 14.4 km long and 1.5 km wide. This technique included: a) processing of field seismic gathers data in conjunction with LIDAR-DTM topographic information, with which a 3D model of P-wave velocities was constructed; b) calibration of the P-velocity model with field data; and c) interpretation of the final P-velocity model. The application of the new technique allowed the three-dimensional study of the subsurface around the U-200 by including the geological characterization of the velocities and the elaboration of several predictive geological maps (lithology, structural, topography, etc.). Correlations of these maps allowed the building of risk factor maps, in which areas with higher or lower geodynamic risk can be directly identified. These areas represented the zones where the pipeline/flowline was most prone to collapse.
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Ghasemi, Arash, Lafayette K. Taylor, and James C. Newman. "Massively Parallel Curved Spectral/Finite Element Mesh Generation of Industrial CAD Geometries in Two and Three Dimensions." In ASME 2016 Fluids Engineering Division Summer Meeting collocated with the ASME 2016 Heat Transfer Summer Conference and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/fedsm2016-7600.

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A scalable paradigm is developed to generate 2D/3D high quality finite/spectral element meshes containing arbitrarily curved elements. The current methodology begins with a linear mesh that is decomposed using a graph partitioning scheme. Higher-order elements are then created from the linear mesh, where a CAD model must be queried in order for the curved faces/edges to conform to the boundaries. Subsequently, the curved elements are directly generated using analytical maps which transform the point distribution of the master element to the element in physical space. These analytic maps are derived for triangular, quadrilateral, tetrahedral, prismatic, pyramidal, and hexahedral elements. It is shown that the stretching of Chebyshev/Fekete point distributions are also preserved by these maps and hence they can be used to generate well-conditioned spectral element grids. Since these maps require a computationally intensive min-distance projection to the CAD model, a fast min-distance search algorithm is proposed. The current method is embarrassingly parallel, uses MPI, and is implemented on a commodity cluster. Degradation in performance is observed with load balancing based on maximizing the volume to surface ratio and, therefore, a new load balancing is proposed to mitigate this loss in speed-up. Results are presented for a two-dimensional cylinder, NACA0012 airfoil, 30P30N high-lift geometry, a three-dimensional sphere, a notional missile configuration and a civil aircraft geometry.
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Serrano, José Ramón, Antonio Gil, Roberto Navarro, and Lukas Benjamin Inhestern. "Extremely Low Mass Flow at High Blade to Jet Speed Ratio in Variable Geometry Radial Turbines and its Influence on the Flow Pattern: A CFD Analysis." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-63368.

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State of the art car engines are fed by compressed air, coming from a turbocharger compressor, to increase the power to weight ratio and to allow downsizing the combustion engine. The used compressor is driven by a radial turbine taking advantage of the hot and pressurized exhaust gases of the engine. Thus, the turbine acts under highly unsteady conditions, working at very different turbine map regions. In urban driving the turbine faces even higher changes due to frequent acceleration and deceleration so that extremely low mass flow can occur. However, the flow behavior in turbocharger turbines at these extreme off-design conditions is rather unknown. So the development of physically-based models for extrapolating the usually narrow experimental turbine maps and advanced measurements to increase the range of turbine maps has been in the focus of many researchers. To provide valuable information about those flow characteristics, this paper supplies a detailed analysis at low mass flow in a radial turbocharger turbine. The turbine has been experimentally characterized under steady flow from normal operating working conditions up to extreme off-design points, where the turbine could even work with negative efficiency. Since heat transfer significantly affects the turbine efficiency calculation when turbine power is low, the experiments have been executed under quasi-adiabatic conditions and residual heat fluxes have further been corrected. This paper takes advantage of these data to validate adiabatic CFD simulations in a wide operating range, from optimum efficiency point up to negative turbine power. Stationary and transient three-dimensional CFD simulations of the turbocharger turbine have been performed. The numerical campaign covers a wide range of operating conditions, providing different flow patterns. The obtained results show that the secondary flow field changes appreciably with mass flow rate. At low mass flows, a further backflow region develops over the entire circumference close to the hub, significantly constricting the effective turbine area and provoking mass flow instability. The highlighted flow phenomena will allow to improve state of the art extrapolation models and might help designers to understand turbine flow operating under extreme off-design conditions.
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Wu, Jun, Anurag Purwar, and Q. J. Ge. "Interactive Dimensional Synthesis and Motion Design of Planar 6R Closed Chains via Constraint Manifold Modification." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87818.

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In this paper, we present an interactive, visual design approach for the dimensional synthesis of planar 4R, 5R, and 6R closed chains for a given rational motion using constraint manifold modification. This approach is implemented in an interactive software tool that provides mechanism designers with an intuitive way to determine the dimensional parameters of planar mechanisms, and in the process equips them with an understanding of the design process. The theoretical foundation of this work is based on representing planar displacements with planar quaternions which can be seen as points in a special higher dimensional projective space (called the image space), and on formulating the kinematic constraints of closed chains as algebraic surfaces in the image space. Kinematic constraints under consideration limit the positions and orientation of the coupler in its workspace. In this way, a given motion of a mechanism in the Cartesian space maps to a curve in the image space that has to stay within the bounds of the algebraic surfaces. Thus, the problem of dimensional synthesis is reduced to determining parameters of equations that describe algebraic surfaces. This paper is an extension of our previous work in which we had presented some preliminary results based on an optimization method. We show that the interactive approach presented here is general in nature, and can be easily used for the dimensional synthesis of any mechanism for which kinematic constraints can be expressed algebraically. The process of designing is fast, intuitive, and especially useful when an optimization based approach would be computationally demanding, and mathematically difficult to formulate. This simple approach also provides a basis for students and early designers to learn and understand the process of mechanism design by simple geometric manipulations.
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Schinnerl, Mario, Joerg Seume, Jan Ehrhard, and Mathias Bogner. "Heat Transfer Correction Methods for Turbocharger Performance Measurements." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-56770.

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Turbocharger performance maps used for the matching process with a combustion engine are measured on test benches which do not exhibit the same boundary conditions as the engine. However, these maps are used in engine simulations, ignoring that the compressor and turbine aerodynamic performance is rated on the basis of quantities which were measured at positions which do not coincide with the respective system boundaries of the turbomachinery. In the operating range of low to mid engine speeds, the ratio between the heat flux and the work done by the turbine and the compressor is much greater than at high speeds where heat transfer phenomena on the compressor side can usually be neglected. Heat losses on the turbine side must be taken into account even at higher shaft speeds when dealing with isentropic turbine efficiencies. Based on an extensive experimental investigation a one-dimensional heat transfer model is developed. The compressor and turbine side are treated individually and divided into sections of inlet, wheel, outlet, diffuser and volute. The model demonstrates the capability to properly account for the impact of heat transfer and thereby improves the predictive accuracy of temperatures relevant for the matching process.
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Stein, W., and M. Rautenberg. "Flow Measurements in Two Cambered Vane Diffusers With Different Passage Widths." In ASME 1985 International Gas Turbine Conference and Exhibit. American Society of Mechanical Engineers, 1985. http://dx.doi.org/10.1115/85-gt-46.

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To investigate the influence of the vaneless space between impeller exit and the diffuser vanes, datailed flow measurements in two diffusers with the same vane geometry but different passage width are compared. The three-dimensional character of the flow changes between impeller exit and the entry to the two dimensional vanes depending on the shape of the shroud. After initial measurements with a constant area vaneless space, the width of the vaned diffuser was later on reduced by 10%. The compressor maps show an increase in overall pressure rise and efficiency with the width reduction. To get further details of the flow field, measurements of the static pressure distribution at hub and shroud have been performed at several operation points for both diffusers. At the same points the flow angle and total pressure distribution between hub and shroud upstream and downstream of the vanes have been measured with probes. The maximum efficiency of the narrow diffuser is nearly 2% higher than for the wide diffuser. The measurements give further details to explain this improvements.
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Posner, Jonathan D., and Juan G. Santiago. "Nonlinear Dynamics of Electrokinetic Instabilities." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-79845.

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Electrokinetic instabilities are generated by a coupling of electric fields and ionic conductivity gradients. This coupling results in an electric body force in the bulk liquid that can generate temporal, convective, and absolute flow instabilities. In this work, we perform a parametric experimental study of convective instabilities in cross-shaped microchannels using epifluorescence microscopy and high speed digital imaging. We report temporal power spectra and spatiotemporal maps as a function of the applied field. The spectral analyses reveal that disturbances induced by electrokinetic instability are purely sinuous at the onset of instability and exhibit higher-order harmonics, frequency bifurcations, and continuous power spectra with increasing electric Rayleigh number. Electrokinetic instabilities (EKI) in cross-shaped channels are relevant to injections for field amplified sample stacking, electrokinetic flows at the intersections in multi-dimensional assay devices, and systems with indeterminate sample chemistry.
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Chen, Shyh-Leh, and Steven W. Shaw. "Phase Space Transport in a Class of Multi-Degree of-Freedom Systems." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4105.

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Abstract In this paper we describe some recent advances in the basic theory and applications of phase space transport in nonlinear dynamic systems. These methods offer both qualitative and quantitative information about the behavior of solutions near homoclinic and heteroclinic motions in nonlinear dynamical systems. Applications of these ideas are found in fluid mixing and the escape of solutions from potential energy wells under the action of disturbances, for example, in models of ship capsize. In this work the theory is extended to a certain class of higher-order systems in which several time scales are involved. In addition, a new analytical estimate is derived and used for the rate of transport in the case of two-dimensional Poincare maps. Extensive simulation results from a specific ship dynamics model are used to demonstrate and verify these results.
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Reports on the topic "Higher-dimensional maps"

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Anderson, Gerald L., and Kalman Peleg. Precision Cropping by Remotely Sensed Prorotype Plots and Calibration in the Complex Domain. United States Department of Agriculture, December 2002. http://dx.doi.org/10.32747/2002.7585193.bard.

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This research report describes a methodology whereby multi-spectral and hyperspectral imagery from remote sensing, is used for deriving predicted field maps of selected plant growth attributes which are required for precision cropping. A major task in precision cropping is to establish areas of the field that differ from the rest of the field and share a common characteristic. Yield distribution f maps can be prepared by yield monitors, which are available for some harvester types. Other field attributes of interest in precision cropping, e.g. soil properties, leaf Nitrate, biomass etc. are obtained by manual sampling of the filed in a grid pattern. Maps of various field attributes are then prepared from these samples by the "Inverse Distance" interpolation method or by Kriging. An improved interpolation method was developed which is based on minimizing the overall curvature of the resulting map. Such maps are the ground truth reference, used for training the algorithm that generates the predicted field maps from remote sensing imagery. Both the reference and the predicted maps are stratified into "Prototype Plots", e.g. 15xl5 blocks of 2m pixels whereby the block size is 30x30m. This averaging reduces the datasets to manageable size and significantly improves the typically poor repeatability of remote sensing imaging systems. In the first two years of the project we used the Normalized Difference Vegetation Index (NDVI), for generating predicted yield maps of sugar beets and com. The NDVI was computed from image cubes of three spectral bands, generated by an optically filtered three camera video imaging system. A two dimensional FFT based regression model Y=f(X), was used wherein Y was the reference map and X=NDVI was the predictor. The FFT regression method applies the "Wavelet Based", "Pixel Block" and "Image Rotation" transforms to the reference and remote images, prior to the Fast - Fourier Transform (FFT) Regression method with the "Phase Lock" option. A complex domain based map Yfft is derived by least squares minimization between the amplitude matrices of X and Y, via the 2D FFT. For one time predictions, the phase matrix of Y is combined with the amplitude matrix ofYfft, whereby an improved predicted map Yplock is formed. Usually, the residuals of Y plock versus Y are about half of the values of Yfft versus Y. For long term predictions, the phase matrix of a "field mask" is combined with the amplitude matrices of the reference image Y and the predicted image Yfft. The field mask is a binary image of a pre-selected region of interest in X and Y. The resultant maps Ypref and Ypred aremodified versions of Y and Yfft respectively. The residuals of Ypred versus Ypref are even lower than the residuals of Yplock versus Y. The maps, Ypref and Ypred represent a close consensus of two independent imaging methods which "view" the same target. In the last two years of the project our remote sensing capability was expanded by addition of a CASI II airborne hyperspectral imaging system and an ASD hyperspectral radiometer. Unfortunately, the cross-noice and poor repeatability problem we had in multi-spectral imaging was exasperated in hyperspectral imaging. We have been able to overcome this problem by over-flying each field twice in rapid succession and developing the Repeatability Index (RI). The RI quantifies the repeatability of each spectral band in the hyperspectral image cube. Thereby, it is possible to select the bands of higher repeatability for inclusion in the prediction model while bands of low repeatability are excluded. Further segregation of high and low repeatability bands takes place in the prediction model algorithm, which is based on a combination of a "Genetic Algorithm" and Partial Least Squares", (PLS-GA). In summary, modus operandi was developed, for deriving important plant growth attribute maps (yield, leaf nitrate, biomass and sugar percent in beets), from remote sensing imagery, with sufficient accuracy for precision cropping applications. This achievement is remarkable, given the inherently high cross-noice between the reference and remote imagery as well as the highly non-repeatable nature of remote sensing systems. The above methodologies may be readily adopted by commercial companies, which specialize in proving remotely sensed data to farmers.
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Lacerda Silva, P., G. R. Chalmers, A. M. M. Bustin, and R. M. Bustin. Gas geochemistry and the origins of H2S in the Montney Formation. Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/329794.

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The geology of the Montney Formation and the geochemistry of its produced fluids, including nonhydrocarbon gases such as hydrogen sulfide were investigated for both Alberta and BC play areas. Key parameters for understanding a complex petroleum system like the Montney play include changes in thickness, depth of burial, mass balance calculations, timing and magnitudes of paleotemperature exposure, as well as kerogen concentration and types to determine the distribution of hydrocarbon composition, H2S concentrations and CO2 concentrations. Results show that there is first-, second- and third- order variations in the maturation patterns that impact the hydrocarbon composition. Isomer ratio calculations for butane and propane, in combination with excess methane estimation from produced fluids, are powerful tools to highlight effects of migration in the hydrocarbon distribution. The present-day distribution of hydrocarbons is a result of fluid mixing between hydrocarbons generated in-situ with shorter-chained hydrocarbons (i.e., methane) migrated from deeper, more mature areas proximal to the deformation front, along structural elements like the Fort St. John Graben, as well as through areas of lithology with higher permeability. The BC Montney play appears to have hydrocarbon composition that reflects a larger contribution from in-situ generation, while the Montney play in Alberta has a higher proportion of its hydrocarbon volumes from migrated hydrocarbons. Hydrogen sulphide is observed to be laterally discontinuous and found in discrete zones or pockets. The locations of higher concentrations of hydrogen sulphide do not align with the sulphate-rich facies of the Charlie Lake Formation but can be seen to underlie areas of higher sulphate ion concentrations in the formation water. There is some alignment between CO2 and H2S, particularly south of Dawson Creek; however, the cross-plot of CO2 and H2S illustrates some deviation away from any correlation and there must be other processes at play (i.e., decomposition of kerogen or carbonate dissolution). The sources of sulphur in the produced H2S were investigated through isotopic analyses coupled with scanning electron microscopy, energy dispersive spectroscopy, and mineralogy by X-ray diffraction. The Montney Formation in BC can contain small discrete amounts of sulphur in the form of anhydrite as shown by XRD and SEM-EDX results. Sulphur isotopic analyses indicate that the most likely source of sulphur is from Triassic rocks, in particular, the Charlie Lake Formation, due to its close proximity, its high concentration of anhydrite (18-42%), and the evidence that dissolved sulphate ions migrated within the groundwater in fractures and transported anhydrite into the Halfway Formation and into the Montney Formation. The isotopic signature shows the sulphur isotopic ratio of the anhydrite in the Montney Formation is in the same range as the sulphur within the H2S gas and is a lighter ratio than what is found in Devonian anhydrite and H2S gas. This integrated study contributes to a better understanding of the hydrocarbon system for enhancing the efficiency of and optimizing the planning of drilling and production operations. Operators in BC should include mapping of the Charlie Lake evaporites and structural elements, three-dimensional seismic and sulphate ion concentrations in the connate water, when planning wells, in order to reduce the risk of encountering unexpected souring.
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