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OverviewThe 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. Full Product DetailsAuthor: D.V. Anosov , G.G. Gould , D.V. Anosov , S.K. AransonPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1995 ed. Volume: 66 Dimensions: Width: 15.50cm , Height: 1.50cm , Length: 23.50cm Weight: 1.170kg ISBN: 9783540570431ISBN 10: 3540570438 Pages: 236 Publication Date: 18 August 1995 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |