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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 6: Period Three Implies Chaos
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Chapter title
Period Three Implies Chaos
Chapter number 6
Book title
The Theory of Chaotic Attractors
Published by
Springer, New York, NY, January 2004
DOI 10.1007/978-0-387-21830-4_6
Book ISBNs
978-1-4419-2330-1, 978-0-387-21830-4
Authors

Tien-Yien Li, James A. Yorke, Li, Tien-Yien, Yorke, James A.

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Mendeley readers

The data shown below were compiled from readership statistics for 17 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 17 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 3 18%
Professor > Associate Professor 1 6%
Other 1 6%
Student > Master 1 6%
Unknown 11 65%
Readers by discipline Count As %
Engineering 3 18%
Physics and Astronomy 2 12%
Neuroscience 1 6%
Unknown 11 65%

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