Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour / Edition 1

Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour / Edition 1

by D.V. Anosov
     
 

ISBN-10: 3642081681

ISBN-13: 9783642081682

Pub. Date: 12/06/2010

Publisher: Springer Berlin Heidelberg

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,

…  See more details below

Overview

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.

Product Details

ISBN-13:
9783642081682
Publisher:
Springer Berlin Heidelberg
Publication date:
12/06/2010
Series:
Encyclopaedia of Mathematical Sciences Series, #66
Edition description:
Softcover reprint of hardcover 1st ed. 1995
Pages:
236
Product dimensions:
6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

1. Hyperbolic Sets.- 2. Strange Attractors.- 3. Cascades on Surfaces.- 4. Dynamical Systems with Transitive Symmetry Group. Geometric and Statistical Properties.- Author Index.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >