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Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour

Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour
Catalogue Information
Field name Details
Dewey Class 514.34
Title Dynamical Systems IX ([EBook]) : Dynamical Systems with Hyperbolic Behaviour / edited by D. V. Anosov.
Added Personal Name Anosov, Dmitrij Viktorovic
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 1995.
Physical Details VIII, 236 pages : online resource.
Series Encyclopaedia of mathematical sciences 0938-0396 ; ; 66
ISBN 9783662031728
Summary Note 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.:
Contents note 1. Hyperbolic Sets -- 2. Strange Attractors -- 3. Cascades on Surfaces -- 4. Dynamical Systems with Transitive Symmetry Group. Geometric and Statistical Properties -- Author Index.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-662-03172-8
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