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Other titles in the Springer Series in Materials Science series:

Springer Series in Materials Science #9: Dynamical Systems IX

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Springer Series in Materials Science #9: Dynamical Systems IX Cover

 

Synopses & Reviews

Publisher Comments:

The book deals with smooth dynamical systems with hyperbolic behaviour of trajectories filling out "large subsets" of the phase space. Such systems lead to complicated motion (so-called "chaos"). The book begins with a discussion of the topological manifestations of uniform and total hyperbolicity: hyperbolic sets, Smale's Axiom A, structurally stable systems, Anosov systems, and hyperbolic attractors of dimension or codimension one. There are various modifications of hyperbolicity and in this connection the properties of Lorenz attractors, pseudo-analytic Thurston diffeomorphisms, and homogeneous flows with expanding and contracting foliations are investigated. These last two questions are discussed in the general context of the theory of homeomorphisms of surfaces and of homogeneous flows.

Table of Contents

Contents: Hyperbolic Sets by D.V. Anosov, V.V. Solodov; Strange Attractors by R.V. Plykin, E.A. Sataev, S.V. Shlyachkov; Cascades on Surfaces by S.Kh. Aranson, V.Z. Grines; Dynamical Systems with Transitive Symmetry Groups by A.V. Safonov, A.N. Starkov, A.M. Stepin

Product Details

ISBN:
9783540570431
Author:
Anosov, D. V.
Publisher:
Springer
Translator:
Gould, G. G.
Author:
Solodov, V.V.
Author:
Plykin, R.V.
Author:
Starkov, A.N.
Author:
Stepin, A.M.
Author:
Safonov, A.V.
Author:
Shlyachkov, S.V.
Author:
Arans
Author:
Sataev, E.A.
Author:
Gould, G. G.
Author:
Aranson, S.K.
Author:
on, S.K.
Author:
Grines, V. Z.
Location:
Berlin, Heidelberg
Subject:
Chaotic Behavior in Systems
Subject:
Differentiable dynamical systems
Subject:
Geometry - General
Subject:
Group Theory
Subject:
Mathematical Analysis
Subject:
Topology
Subject:
Ergodic flow
Subject:
homogenous flow
Subject:
hyperbolic set
Subject:
isotopy class
Subject:
strange attractor
Subject:
Manifolds and Cell Complexes (incl. Diff.Topology)
Subject:
Real functions
Subject:
Topological Groups, Lie Groups
Subject:
mathematical methods in physics
Subject:
Numerical and Computational Physics
Subject:
Mathematics-Geometry and Trigonometry
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
Cell aggregation_xMathematics
Subject:
Topological groups
Subject:
Mathematical Physics
Subject:
Mathematics-Differential Geometry
Copyright:
Edition Description:
Book
Series:
Encyclopaedia of Mathematical Sciences
Series Volume:
9
Publication Date:
19950928
Binding:
HARDCOVER
Language:
English
Pages:
245
Dimensions:
235 x 155 mm 1170 gr

Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Differential Geometry
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Group Theory

Springer Series in Materials Science #9: Dynamical Systems IX New Hardcover
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