Modern Theory Of Dynamical Systems A Tribute To Dmitry Victorovich Anosov
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Modern Theory Of Dynamical Systems A Tribute To Dmitry Victorovich Anosov
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Author : Anatole Katok
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-06-19
Modern Theory Of Dynamical Systems A Tribute To Dmitry Victorovich Anosov written by Anatole Katok and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-19 with Boundary value problems categories.
This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work. Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.
Dynamical Systems
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Author : D. V. Anosov
language : en
Publisher:
Release Date : 1988
Dynamical Systems written by D. V. Anosov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Celestial mechanics categories.
Dynamical Systems I
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Author : D.V. Anosov
language : en
Publisher: Springer
Release Date : 1994-06-01
Dynamical Systems I written by D.V. Anosov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-01 with Mathematics categories.
From the reviews: "The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ... indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are introduced.... What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book." Journal de Physique
Ergodic Theory With Applications To Dynamical Systems And Statistical Mechanics
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Author : I︠A︡kov Grigorʹevich Sinaĭ
language : en
Publisher: Nelson Thornes
Release Date : 1989
Ergodic Theory With Applications To Dynamical Systems And Statistical Mechanics written by I︠A︡kov Grigorʹevich Sinaĭ and has been published by Nelson Thornes this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
1. Ordinary differential equations and smooth dynamical systems by D.V. Anosov, V.I. Arnold (eds.). 2. Ergodic theory with applications to dynamical systems an d statistical mechanics by Ya. G. Sinai (ed.). 3. [without special title]. 4. S ymplectic geometry and its applications by V.I. Arnold, S.P. Novikov (eds.).
Modern Dynamical Systems And Applications
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Author : Michael Brin
language : en
Publisher: Cambridge University Press
Release Date : 2004-08-16
Modern Dynamical Systems And Applications written by Michael Brin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-16 with Mathematics categories.
This volume presents a broad collection of current research by leading experts in the theory of dynamical systems.
A First Course In Dynamics
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Author : Boris Hasselblatt
language : en
Publisher: Cambridge University Press
Release Date : 2003-06-23
A First Course In Dynamics written by Boris Hasselblatt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-23 with Mathematics categories.
The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. The only prerequisite is a basic undergraduate analysis course. The authors use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory.
From Groups To Geometry And Back
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Author : Vaughn Climenhaga
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-04-07
From Groups To Geometry And Back written by Vaughn Climenhaga and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-07 with Geometry categories.
Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory. The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras. The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth. The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness. This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.
Lectures On Surfaces
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Author : A. B. Katok
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Lectures On Surfaces written by A. B. Katok and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Surfaces are among the most common and easily visualized mathematical objects, and their study brings into focus fundamental ideas, concepts, and methods from geometry, topology, complex analysis, Morse theory, and group theory. This book introduces many of the principal actors - the round sphere, flat torus, Mobius strip, and Klein bottle.
Invariant Manifolds Entropy And Billiards Smooth Maps With Singularities
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Author : Anatole Katok
language : en
Publisher: Springer
Release Date : 2006-12-08
Invariant Manifolds Entropy And Billiards Smooth Maps With Singularities written by Anatole Katok and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
Combinatorial Constructions In Ergodic Theory And Dynamics
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Author : A. B. Katok
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Combinatorial Constructions In Ergodic Theory And Dynamics written by A. B. Katok and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Ergodic theory studies measure-preserving transformations of measure spaces. These objects are intrinsically infinite, and the notion of an individual point or of an orbit makes no sense. Still there are a variety of situations when a measure preserving transformation (and its asymptotic behavior) can be well described as a limit of certain finite objects (periodic processes). The first part of this book develops this idea systematically. Genericity of approximation in various categories is explored, and numerous applications are presented, including spectral multiplicity and properties of the maximal spectral type. The second part of the book contains a treatment of various constructions of cohomological nature with an emphasis on obtaining interesting asymptotic behavior from approximate pictures at different time scales. The book presents a view of ergodic theory not found in other expository sources. It is suitable for graduate students familiar with measure theory and basic functional analysis.