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The Theory of Chaotic Attractors

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Cover of 'The Theory of Chaotic Attractors'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Deterministic Nonperiodic Flow
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    Chapter 3 On invariant measures for expanding differentiable mappings
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    Chapter 4 On the Existence of Invariant Measures for Piecewise Monotonic Transformations
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    Chapter 5 The Ergodic Theory of Axiom A Flows
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    Chapter 6 Period Three Implies Chaos
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    Chapter 7 Simple mathematical models with very complicated dynamics
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    Chapter 8 A Two-dimensional Mapping with a Strange Attractor
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    Chapter 9 Strange attractors and chaotic motions of dynamical systems
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    Chapter 10 Ergodic Properties of Invariant Measures for Piecewise Monotonic Transformations
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    Chapter 11 The Dimension of Chaotic Attractors
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    Chapter 12 Measuring the Strangeness of Strange Attractors
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    Chapter 13 Invariant Measures and the Variational Principle for Lozi Mappings
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    Chapter 14 Ergodic Properties of the Lozi Mappings
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    Chapter 15 On the Concept of Attractor
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    Chapter 16 Bowen-Ruelle Measures for Certain Piecewise Hyperbolic Maps
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    Chapter 17 Ergodic theory of chaos and strange attractors
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    Chapter 18 Another Proof of Jakobson’s Theorem and Related Results
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    Chapter 19 Unstable periodic orbits and the dimensions of multifractal chaotic attractors
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    Chapter 20 Absolutely Continuous Invariant Measures for Piecewise Expanding C 2 Transformations in R N
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    Chapter 21 Sinai-Bowen-Ruelle measures for certain Hénon maps
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    Chapter 22 On the Approximation of Complicated Dynamical Behavior
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    Chapter 23 Absolutely Continuous Invariant Measures for Piecewise Real-Analytic Expanding Maps on the Plane
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    Chapter 24 SRB measures for partially hyperbolic systems whose central direction is mostly expanding
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    Chapter 25 SLYRB measures: natural invariant measures for chaotic systems
Attention for Chapter 20: Absolutely Continuous Invariant Measures for Piecewise Expanding C 2 Transformations in R N
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Chapter title
Absolutely Continuous Invariant Measures for Piecewise Expanding C 2 Transformations in R N
Chapter number 20
Book title
The Theory of Chaotic Attractors
Published by
Springer, New York, NY, January 2004
DOI 10.1007/978-0-387-21830-4_20
Book ISBNs
978-1-4419-2330-1, 978-0-387-21830-4
Authors

P. Góra, A. Boyarsky, Góra, P., Boyarsky, A.

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