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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
Links to Related Works	Subject References: Analysis (Mathematics) . Complex manifolds . Differential Geometry . Functions of real variables . Lie groups . Manifolds (Mathematics) . Mathematical analysis . Real Functions . Topological groups . Authors: Anosov, Dmitrij Viktorovic . editor . Corporate Authors: SpringerLink (Online service) . Series: Encyclopaedia of mathematical sciences . Classification: 514.34 .

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Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour

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