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Relevant bibliographies by topics / Entropy-Hyperbolic

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Academic literature on the topic 'Entropy-Hyperbolic'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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Journal articles on the topic "Entropy-Hyperbolic"

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Yang, Dawei, and Jinhua Zhang. "NON-HYPERBOLIC ERGODIC MEASURES AND HORSESHOES IN PARTIALLY HYPERBOLIC HOMOCLINIC CLASSES." Journal of the Institute of Mathematics of Jussieu 19, no. 5 (2019): 1765–92. http://dx.doi.org/10.1017/s1474748018000579.

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We study a rich family of robustly non-hyperbolic transitive diffeomorphisms and we show that each ergodic measure is approached by hyperbolic sets in weak$\ast$-topology and in entropy. For hyperbolic ergodic measures, it is a classical result of A. Katok. The novelty here is to deal with non-hyperbolic ergodic measures. As a consequence, we obtain the continuity of topological entropy.

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Ledrappier, François, and Seonhee Lim. "Volume entropy of hyperbolic buildings." Journal of Modern Dynamics 4, no. 1 (2010): 139–65. http://dx.doi.org/10.3934/jmd.2010.4.139.

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Tzavaras, Athanasios E. "Relative Entropy in Hyperbolic Relaxation." Communications in Mathematical Sciences 3, no. 2 (2005): 119–32. http://dx.doi.org/10.4310/cms.2005.v3.n2.a2.

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CATALAN, THIAGO. "A link between topological entropy and Lyapunov exponents." Ergodic Theory and Dynamical Systems 39, no. 3 (2017): 620–37. http://dx.doi.org/10.1017/etds.2017.39.

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We show that a $C^{1}$-generic non-partially hyperbolic symplectic diffeomorphism $f$ has topological entropy equal to the supremum of the sum of the positive Lyapunov exponents of its hyperbolic periodic points. Moreover, we also prove that $f$ has topological entropy approximated by the topological entropy of $f$ restricted to basic hyperbolic sets. In particular, the topological entropy map is lower semicontinuous in a $C^{1}$-generic set of symplectic diffeomorphisms far from partial hyperbolicity.

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Collet, P., та J. P. Eckmann. "Topological Entropy and ε-Entropy for Damped Hyperbolic Equations". Annales Henri Poincaré 1, № 4 (2000): 715–52. http://dx.doi.org/10.1007/pl00001013.

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DAFERMOS, CONSTANTINE M. "HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION II." Journal of Hyperbolic Differential Equations 10, no. 01 (2013): 173–79. http://dx.doi.org/10.1142/s0219891613500070.

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By extending the analysis in [C. M. Dafermos, Hyperbolic systems of balance laws with weak dissipation, J. Hyperbolic Differ. Equ.3 (2006) 505–527], this note constructs global BV solutions to the Cauchy problem for strictly hyperbolic systems of balance laws endowed with a convex entropy, under the assumption that the entropy production is positive definite.

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Vieitez, José L., M. Pacifico, Todd Fisher, and Lorenzo Díaz. "Entropy-expansiveness for partially hyperbolic diffeomorphisms." Discrete and Continuous Dynamical Systems 32, no. 12 (2012): 4195–207. http://dx.doi.org/10.3934/dcds.2012.32.4195.

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Silva, Adriano Da, and Christoph Kawan. "Invariance entropy of hyperbolic control sets." Discrete and Continuous Dynamical Systems 36, no. 1 (2015): 97–136. http://dx.doi.org/10.3934/dcds.2016.36.97.

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BUYALO, S. "Volume entropy of hyperbolic graph surfaces." Ergodic Theory and Dynamical Systems 25, no. 2 (2005): 403–17. http://dx.doi.org/10.1017/s014338570400080x.

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HUA, YONGXIA, RADU SAGHIN, and ZHIHONG XIA. "Topological entropy and partially hyperbolic diffeomorphisms." Ergodic Theory and Dynamical Systems 28, no. 3 (2008): 843–62. http://dx.doi.org/10.1017/s0143385707000405.

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AbstractWe consider partially hyperbolic diffeomorphisms on compact manifolds. We define the notion of the unstable and stable foliations stably carrying some unique non-trivial homologies. Under this topological assumption, we prove the following two results: if the center foliation is one-dimensional, then the topological entropy is locally a constant; and if the center foliation is two-dimensional, then the topological entropy is continuous on the set of all $C^{\infty }$ diffeomorphisms. The proof uses a topological invariant we introduced, Yomdin’s theorem on upper semi-continuity, Katok’

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Dissertations / Theses on the topic "Entropy-Hyperbolic"

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Diep, My Tieu. "Uniqueness of Entropy Solutions to Hyperbolic-Parabolic Conservation Laws." University of Akron / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=akron1302552445.

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Venzke, Rupert William Calegari Danny Calegari Danny. "Braid forcing, hyperbolic geometry, and pseudo-Anosov sequences of low entropy /." Diss., Pasadena, Calif. : Caltech, 2008. http://resolver.caltech.edu/CaltechETD:etd-05292008-085545.

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Kachroo, Pushkin. "Optimal and Feedback Control for Hyperbolic Conservation Laws." Diss., Virginia Tech, 2007. http://hdl.handle.net/10919/28009.

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This dissertation studies hyperbolic partial differential equations for Conservation Laws motivated by traffic control problems. New traffic models for multi-directional flow in two dimensions are derived and their properties studied. Control models are proposed where the control variable is a multiplicative term in the flux function. Control models are also proposed for relaxation type systems of hyperbolic PDEs. Existence of optimal control for the case of constant controls is presented. Unbounded and bounded feedback control designs are proposed. These include advective, diffusive, and

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Moses, Lawrenzo D. "Error Estimates for Entropy Solutions to Scalar Conservation Laws with Continuous Flux Functions." University of Akron / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=akron1353991101.

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Friedrich, Lucas [Verfasser], Gregor [Gutachter] Gassner, and Thomas [Gutachter] Sonar. "Entropy Stable Summation-by-Parts Methods for Hyperbolic Conservation Laws on h/p Non-Conforming Meshes / Lucas Friedrich ; Gutachter: Gregor Gassner, Thomas Sonar." Köln : Universitäts- und Stadtbibliothek Köln, 2019. http://d-nb.info/1179910567/34.

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Schrecker, Matthew. "Hyperbolic problems in fluids and relativity." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:2dec2eb9-4253-4625-a071-0c19d0c1f76d.

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In this thesis, we present a collection of newly obtained results concerning the existence of vanishing viscosity solutions to the one-dimensional compressible Euler equations of gas dynamics, with and without geometric structure. We demonstrate the existence of such vanishing viscosity solutions, which we show to be entropy solutions, to the transonic nozzle problem and spherically symmetric Euler equations in Chapter 4, in both cases under the simple and natural assumption of relative finite-energy. In Chapter 5, we show that the viscous solutions of the one-dimensional compressible Navier-S

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Zhuang, Yinfang. "Measuring Effectiveness of Address Schemes for AS-level Graphs." UKnowledge, 2012. http://uknowledge.uky.edu/cs_etds/8.

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This dissertation presents measures of efficiency and locality for Internet addressing schemes. Historically speaking, many issues, faced by the Internet, have been solved just in time, to make the Internet just work~\cite{justWork}. Consensus, however, has been reached that today's Internet routing and addressing system is facing serious scaling problems: multi-homing which causes finer granularity of routing policies and finer control to realize various traffic engineering requirements, an increased demand for provider-independent prefix allocations which injects unaggregatable prefixes into

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Zang, Yuntao. "Relations between entropies, exponents and dimensions." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASS138.

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Nous nous concentrons sur les relations entre entropies, exposants et dimensions pour des dynamiques différenciables. Nous proposons une preuve simplifiée de la formule d'entropie de Ledrappier-Young. Ensuite, en utilisant la formule d'entropie de Ledrappier-Young et la théorie de Pesin, nous avons lié l'entropie d'une mesure ergodique par une combinaison d'exposants de Lyapunov et de divers invariants sur les variétés instables telles que la croissance du volume, les entropies topologiques et les entropies fibrées.Nous étudions également de façon systématique les entropies dites dimensionnell

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Parejas, Jorge Luis Crisostomo. "Equilibrium states and their local product structure for partially hyperbolic diffeomorphisms." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-12012017-103104/.

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We address the problem of existence and uniqueness (or finiteness) of ergodic equilibrium states for a natural class of partially hyperbolic diffeomorphisms homotopic to Anosov. We propose to study the disintegration of equilibrium states along the central foliation as a tool to develop the theory of equilibrium states for partially hyperbolic dynamics. For a large class of low variational potentials we obtain existence and uniqueness of the equilibrium state and we also obtain a dichotomy between finiteness of ergodic equilibrium states and hyperbolicity of such measures. We also prove that t

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Rocha, Joás Elias dos Santos. "Medidas de máxima entropia para difeomorfismos parcialmente hiperbólicos com folheação central compacta em T3." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-30072018-114107/.

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Este trabalho trata das medidas de máxima entropia para certos difeomorfismos em nilvariedades. Considere um difeomorfismo parcialmente hiperbólico f definido em T3, dinamicamente coerente com folheação central compacta. Suponha ainda que a aplicação induzida por f no espaço das folhas centrais é um homeomorfismo de Anosov transitivo em T2. Mostramos que o conjunto das medidas ergódicas hiperbólicas de máxima entropia é enumerável. Usando o princípio de invariância, mostramos que se o primeiro retorno de f à alguma folha periódica tem número de rotação irracional, então, f tem no máximo duas m

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Books on the topic "Entropy-Hyperbolic"

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Tadmor, Eitan. The numerical viscosity of entropy stable schemes for systems of conservation laws. I. ICASE, 1985.

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Book chapters on the topic "Entropy-Hyperbolic"

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Harremoës, P., and F. Topsoe. "Zipf’s Law, Hyperbolic Distributions and Entropy Loss." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11889342_50.

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Lefloch, Philippe G. "An Entropy Diminishing Criterion for Hyperbolic Conservation Laws." In Numerical Methods for Wave Propagation. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-015-9137-9_12.

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Christoforou, Cleopatra, and Athanasios Tzavaras. "On The Relative Entropy Method For Hyperbolic-Parabolic Systems." In Theory, Numerics and Applications of Hyperbolic Problems I. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91545-6_29.

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Hsiao, Ling, and Hailiang Li. "Asymptotic Behavior of Entropy Weak Solution for Hyperbolic System with Damping." In Hyperbolic Problems: Theory, Numerics, Applications. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8372-6_7.

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Floch, Philippe. "Entropy Weak Solutions to Nonlinear Hyperbolic Systems in Nonconservation Form." In Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications. Vieweg+Teubner Verlag, 1989. http://dx.doi.org/10.1007/978-3-322-87869-4_37.

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Frank, Martin, Jonas Kusch, and Jannick Wolters. "Entropy–Based Methods for Uncertainty Quantification of Hyperbolic Conservation Laws." In SEMA SIMAI Springer Series. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72850-2_2.

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Gui-Qiang, Chen. "Compactness and Asymptotic Behavior of Entropy Solutions without Locally Bounded Variation for Hyperbolic Conservation Laws." In Hyperbolic Problems: Theory, Numerics, Applications. Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8720-5_16.

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Pesin, Yakov B. "Entropy and Dimension Families Associated with Equilibrium Measures for Hyperbolic Dynamical Systems." In Fractal Geometry and Stochastics II. Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8380-1_10.

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Dafermos, C. M. "Entropy and the stability of classical solutions of hyperbolic systems of conservation laws." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/bfb0093706.

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Jiang, Da-Quan, Min Qian, and Min-Ping Qian. "9 Entropy Production, Information Gain and Lyapunov Exponents of Random Hyperbolic Dynamical Systems." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-40957-1_10.

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Conference papers on the topic "Entropy-Hyperbolic"

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MATSUEDA, HIROAKI. "SCALING OF ENTANGLEMENT ENTROPY AND HYPERBOLIC GEOMETRY." In Symposium on Interface between Quantum Information and Statistical Physics. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814425285_0007.

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Jedrzejewski, F. "Entropy and Lyapunov Exponents Relationships in Stochastic Dynamical Systems." In ASME 2003 Pressure Vessels and Piping Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/pvp2003-1822.

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Stochastic differential equations and classical techniques related to the Fokker-Planck equation are standard bases for the analysis of nonlinear systems perturbed by noise, such as seismic wave propagation in random media and response of structures to turbulent wind. In this paper, a complementary approach based on entropy production is proposed to analyse the stochastic stability of dynamical systems. For a large class of stochastic dynamical systems, it is shown that the entropy information production is equal to the negative sum of Lyapunov exponents as the noise strength tends to zero. Th

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Silva, Adriano Da. "On the continuity of the invariance entropy for hyperbolic linear control systems on Lie groups." In 2019 IEEE Information Theory Workshop (ITW). IEEE, 2019. http://dx.doi.org/10.1109/itw44776.2019.8989164.

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LEMOS, JOSÉ P. S., and GONÇALO A. S. DIAS. "ENTROPY FROM CONFORMAL HORIZON STATES IN D-DIMENSIONAL SPHERICAL, TOROIDAL, AND HYPERBOLIC ANTI-DE SITTER BLACK HOLES." In Proceedings of the MG11 Meeting on General Relativity. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812834300_0181.

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Mildner, Frank, and Heinz E. Gallus. "An Analysis Method for Multistage Transonic Turbines With Coolant Mass Flow Addition." In ASME 1997 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/97-gt-183.

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The subject of this paper is a numerical method for the calculation of the transonic flow field of multistage turbines taking high coolant flow into account. To reduce the processing time, a throughflow method based on the principels of Wu is used for the hub-to-tip calculation. The flow field is obtained by an iterative solution between a three dimensional inviscid hyperbolic time-dependent algorithm with an implicit finite volume method for the blade-to-blade calculations using C-meshes and a single representative meridional S2m-stream surface. Along the S2m-plane with respect to non-orthogo

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Brown, Alexander L., and Flint Pierce. "The M-1 Radiation Model: Evaluation for Predicting Thermal Radiation From Fires." In ASME 2012 Heat Transfer Summer Conference collocated with the ASME 2012 Fluids Engineering Division Summer Meeting and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/ht2012-58112.

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The M-1 radiation model is a thermal radiation transport model that is derived from a maximum entropy approximation to the radiative transport equation. It involves the solution of four hyperbolic equations for conservation of radiative energy. The M-1 model has similarities to the classical diffusion approximations (like P-1), but is able to better predict directed flux. Consequently, shadowing and long-range transport can be well resolved for a fraction of the cost of methods with exponentially increasing accuracy costs like the method of discrete ordinates and Monte Carlo ray-tracing. The M

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Romanov, Artyom, and Luca Di Mare. "Extended Turbomachinery Aeromechanical Model." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-95667.

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An extended version of the previously presented linearized one-dimensional turbomachinery performance model is described. The current version of the model is capable of performing forced response and flutter simulations on several stationary and/or rotating bladerows. The amplitude of the perturbation is assumed small thus impact of the perturbations of several sources may be superimposed. The distortion propagation analysis may be performed in the early stages of the design process, or whenever a quick solution is desirable, having only minimal information about the studied geometry. The appr

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Le Brigant, Alice, Marc Arnaudon, and Frédéric Barbaresco. "Reparameterization invariant distance on the space of curves in the hyperbolic plane." In BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING (MAXENT 2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4906016.

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