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Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour
Tag	Description
020	$a9783662031728
082	$a514.34
099	$aOnline resource: Springer
245	$aDynamical Systems IX$h[EBook]$bDynamical Systems with Hyperbolic Behaviour$cedited by D. V. Anosov.
260	$aBerlin, Heidelberg$bSpringer$c1995.
300	$aVIII, 236 pages$bonline resource.
336	$atext
338	$aonline resource
440	$aEncyclopaedia of Mathematical Sciences,$x0938-0396 ;$v66
505	$a1. Hyperbolic Sets -- 2. Strange Attractors -- 3. Cascades on Surfaces -- 4. Dynamical Systems with Transitive Symmetry Group. Geometric and Statistical Properties -- Author Index.
520	$aThe 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aAnosov, Dmitrij Viktorovic$eeditor.
710	$aSpringerLink (Online service)
830	$aEncyclopaedia of Mathematical Sciences,$v66
856	$uhttp://dx.doi.org/10.1007/978-3-662-03172-8