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Encyclopaedia of Mathematical Sciences Dynamical Systems

Dynamical Systems IX

Dynamical Systems with Hyperbolic Behaviour

Editors: Anosov, D.V. (Ed.)

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About this book

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 (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-662-03172-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
Softcover $149.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Dynamical Systems IX
Book Subtitle
Dynamical Systems with Hyperbolic Behaviour
Editors
  • D.V. Anosov
Translated by
Gould, G.G.
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
66
Copyright
1995
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-03172-8
DOI
10.1007/978-3-662-03172-8
Hardcover ISBN
978-3-540-57043-1
Softcover ISBN
978-3-642-08168-2
Series ISSN
0938-0396
Edition Number
1
Number of Pages
VIII, 236
Additional Information
Original Russian edition published by VINITI, Moscow, 1991
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