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Bibliographic Details

Title: Dynamical Systems IX: Dynamical Systems With Hyperbolic Behaviour, Hardcover edition
Publisher: Secaucus, New Jersey, U.S.A.: Springer Verlag
Publication Date: 1995
Language: English
ISBN 10: 0387570438
ISBN 13: 9780387570433
Binding: Hardcover
Edition: 1st Edition
Condition: New
Dust Jacket Condition: New

About this title

Synopsis

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.

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