Theory of Chaotic Attractors

Häftad, Engelska, 2011

AvBrian R. Hunt,Judy A. Kennedy,Tien-Yien Li,Helena E. Nusse

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This volume contains a selection of the most important papers in the theory of chaotic attractors over the past 40 years. It is dedicated to James Yorke - a pioneer in the field and a recipient of the 2003 Japan prize - on the occasion of his 60th birthday. The volume includes an introduction to Yorke's work and an overview of key developments in the theory of chaotic attractors.

Produktinformation

Utgivningsdatum2011-12-12
Mått178 x 254 x 29 mm
Vikt982 g
FormatHäftad
SpråkEngelska
Antal sidor514
FörlagSpringer-Verlag New York Inc.
ISBN9781441923301

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Deterministic Nonperiodic Flow.- On Invariant Measures for Expanding Differentiable Mappings.- On the Existence of Invariant Measures for Piecewise Monotonic Transformations.- The Ergodic Theory of Axiom A Flows.- Period Three Implies Chaos.- Simple Mathematical Models with Very Complicated Dynamics.- A Two-Dimensional Mapping with a Strange Attractor.- Strange Attractors and Chaotic Motions of Dynamical Systems.- Ergodic Properties of Invariant Measures for Piecewise Monotonic Transformations.- The Dimension of Chaotic Attractors.- Measuring the Strangeness of Strange Attractors.- Invariant Measures and Variational Principle for Lozi Applications.- Ergodic Properties of The Lozi Mappings.- On the Concept of Attractor.- Bowen-Ruelle Measures for Certain Piecewise Hyperbolic Maps.- Ergodic Theory of Chaos and Strange Attractors.- Another Proof of Jakobson’s Theorem and Related Results.- Unstable Periodic Orbits and the Dimensions of Multifractal Chaotic Attractors.- Absolutely Continuous Invariant Measures for Piecewise Expanding C2 Transformation in RN.- Sinai-Bowen-Ruelle Measures for Certain Henon Maps.- On the Approximation of Complicated Dynamical Behavior.- Absolutely Continuous Invariant Measures for Piecewise Real-Analytic Expanding Maps on the Plane.- SRB Measures for Partially Hyperbolic Systems Whose Central Direction is Mostly Expanding.- SLYRB Measures: Natural Invariant Measures for Chaotic Systems.- Credits.

From the reviews: "This book is a collection, from the last 40 years, of the most influential papers in the development of chaos theory. ... The editors are eminent in this field ... . Their selection of papers is excellent ... . it is a book for mathematics graduates specializing in non-linear dynamics. ... is a well-presented and well-deserved tribute to the life's work of Professor Yorke ... . might well be as that benchmark that mathematicians of the future will view its publication hundreds of years from now." (Dennis Morris, The Mathematical Gazette, March, 2005)