Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour Hardcover - 1995
by D. V. Anosov (Editor); Contribution by D. V. Anosov; G. G. Gould (Translator)
First line
Definition of a Hyperbolic Set.
From the rear cover
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.
Details
- Title Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour
- Author D. V. Anosov (Editor); Contribution by D. V. Anosov; G. G. Gould (Translator)
- Binding Hardcover
- Edition Hardcover editio
- Pages 236
- Volumes 1
- Language ENG
- Publisher Springer
- Date 1995-08-18
- ISBN 9783540570431 / 3540570438
- Weight 1.17 lbs (0.53 kg)
- Dimensions 9.21 x 6.14 x 0.63 in (23.39 x 15.60 x 1.60 cm)
- Library of Congress Catalog Number 94047311
- Dewey Decimal Code 514.74
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Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour: v. 9 (Encyclopaedia of Mathematical Sciences)
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Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour (Encyclopaedia of Mathematical Sciences, 66)
by Anosov, D.V. [Editor]; Gould, G.G. [Translator]; Anosov, D.V. [Contributor]; Aranson, S.K. [Contributor]; Grines, V.Z. [Contributor]; Plykin, R.V. [Contributor]; Safonov, A.V. [Contributor]; Sataev, E.A. [Contributor]; Shlyachkov, S.V. [Contributor]; Solo
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