Dynamics Beyond Uniform Hyperbolicity

Author : Christian Bonatti,Lorenzo J. Díaz,Marcelo Viana
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 40,7 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9783540268444

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Dynamics Beyond Uniform Hyperbolicity by Christian Bonatti,Lorenzo J. Díaz,Marcelo Viana Pdf

What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, communications, biology, computer science, or meteorology, to mention just a few. These systems have in common the fact that each possible state may be described by a finite (or infinite) number of observable quantities, like position, velocity, temperature, concentration, population density, and the like. Thus, m the space of states (phase space) is a subset M of an Euclidean space M . Usually, there are some constraints between these quantities: for instance, for ideal gases pressure times volume must be proportional to temperature. Then the space M is often a manifold, an n-dimensional surface for some n

Author : Christian Bonatti
Publisher : Unknown
Page : 384 pages
File Size : 46,6 Mb
Release : 2005
Category : Electronic
ISBN : OCLC:868498523

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Dynamics Beyond Uniform Hyperbolicity by Christian Bonatti Pdf

Author : Christian Bonatti,Lorenzo J. Diaz,Marcelo Viana
Publisher : Unknown
Page : 205 pages
File Size : 45,8 Mb
Release : 2003
Category : Electronic
ISBN : OCLC:249565137

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Dynamics Beyond Uniform Hyperbolicity by Christian Bonatti,Lorenzo J. Diaz,Marcelo Viana Pdf

Author : Giovanni Forni
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 52,6 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821842744

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Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow by Giovanni Forni Pdf

This volume collects a set of contributions by participants of the Workshop Partially hyperbolic dynamics, laminations, and Teichmuller flow held at the Fields Institute in Toronto in January 2006. The Workshop brought together several leading experts in two very active fields of contemporary dynamical systems theory: partially hyperbolic dynamics and Teichmuller dynamics. They are unified by ideas coming from the theory of laminations and foliations, dynamical hyperbolicity, and ergodic theory. These are the main themes of the current volume. The volume contains both surveys and research papers on non-uniform and partial hyperbolicity, on dominated splitting and beyond (in Part I), Teichmuller dynamics with applications to interval exchange transformations and on the topology of moduli spaces of quadratic differentials (in Part II), foliations and laminations and other miscellaneous papers (in Part III). Taken together these papers provide a snapshot of the state of the art in some of the most active topics at the crossroads between dynamical systems, smooth ergodic theory, geometry and topology, suitable for advanced graduate students and researchers.Non-specialists will find the extensive, in-depth surveys especially useful.

Author : Luis Barreira
Publisher : Unknown
Page : 490 pages
File Size : 51,9 Mb
Release : 2007
Category : Dynamics
ISBN : 1107104009

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Nonuniform Hyperbolicity by Luis Barreira Pdf

A self-contained, comprehensive account of modern smooth ergodic theory, the mathematical foundation of deterministic chaos.

Author : Sergey P. Kuznetsov
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 46,8 Mb
Release : 2012-03-20
Category : Science
ISBN : 9783642236662

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Hyperbolic Chaos by Sergey P. Kuznetsov Pdf

"Hyperbolic Chaos: A Physicist’s View” presents recent progress on uniformly hyperbolic attractors in dynamical systems from a physical rather than mathematical perspective (e.g. the Plykin attractor, the Smale – Williams solenoid). The structurally stable attractors manifest strong stochastic properties, but are insensitive to variation of functions and parameters in the dynamical systems. Based on these characteristics of hyperbolic chaos, this monograph shows how to find hyperbolic chaotic attractors in physical systems and how to design a physical systems that possess hyperbolic chaos. This book is designed as a reference work for university professors and researchers in the fields of physics, mechanics, and engineering. Dr. Sergey P. Kuznetsov is a professor at the Department of Nonlinear Processes, Saratov State University, Russia.

Author : Anonim
Publisher : Unknown
Page : 776 pages
File Size : 45,5 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015069723800

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Mathematical Reviews by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 680 pages
File Size : 54,8 Mb
Release : 2008
Category : Differentiable dynamical systems
ISBN : UOM:39015072637625

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Discrete and Continuous Dynamical Systems by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 1790 pages
File Size : 53,5 Mb
Release : 2006
Category : Mathematics
ISBN : UCSD:31822036072601

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Atti Del ... Congresso Internazionale Dei Matematici ... by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 246 pages
File Size : 54,6 Mb
Release : 2008
Category : Mathematics
ISBN : UCSD:31822036053452

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The Michigan Mathematical Journal by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 316 pages
File Size : 50,5 Mb
Release : 2013
Category : Mathematics
ISBN : UGA:32108053599448

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Fundamenta Mathematicae by Anonim Pdf

Author : Tushar Das,David Simmons,Mariusz Urbański
Publisher : American Mathematical Soc.
Page : 281 pages
File Size : 43,9 Mb
Release : 2017-04-14
Category : Geometry, Hyperbolic
ISBN : 9781470434656

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Geometry and Dynamics in Gromov Hyperbolic Metric Spaces by Tushar Das,David Simmons,Mariusz Urbański Pdf

This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The authors provide a number of examples of groups which exhibit a wide range of phenomena not to be found in the finite-dimensional theory. The book contains both introductory material to help beginners as well as new research results, and closes with a list of attractive unsolved problems.

Author : D.V. Anosov
Publisher : Springer
Page : 236 pages
File Size : 43,9 Mb
Release : 2010-12-05
Category : Mathematics
ISBN : 3642081681

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Dynamical Systems IX by D.V. Anosov Pdf

This volume is devoted to the "hyperbolic theory" of dynamical systems (DS), that is, the theory of smooth DS's with hyperbolic behaviour of the tra jectories (generally speaking, not the individual trajectories, but trajectories filling out more or less "significant" subsets in the phase space. Hyperbolicity the property that under a small displacement of any of a trajectory consists in point of it to one side of the trajectory, the change with time of the relative positions of the original and displaced points resulting from the action of the DS is reminiscent of the mot ion next to a saddle. If there are "sufficiently many" such trajectories and the phase space is compact, then although they "tend to diverge from one another" as it were, they "have nowhere to go" and their behaviour acquires a complicated intricate character. (In the physical literature one often talks about "chaos" in such situations. ) This type of be haviour would appear to be the opposite of the more customary and simple type of behaviour characterized by its own kind of stability and regularity of the motions (these words are for the moment not being used as a strict ter 1 minology but rather as descriptive informal terms). The ergodic properties of DS's with hyperbolic behaviour of trajectories (Bunimovich et al. 1985) have already been considered in Volume 2 of this series. In this volume we therefore consider mainly the properties of a topological character (see below 2 for further details).

Author : École normale supérieure (France)
Publisher : Unknown
Page : 1068 pages
File Size : 45,7 Mb
Release : 2012
Category : Electronic journals
ISBN : MINN:31951P01149002R

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Annales Scientifiques de L'École Normale Supérieure by École normale supérieure (France) Pdf

Author : Anonim
Publisher : Unknown
Page : 464 pages
File Size : 48,5 Mb
Release : 2008
Category : Mathematics
ISBN : UOM:39015072641825

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Annales de la faculté des sciences de Toulouse by Anonim Pdf