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The theory of chaotic attractors

Author: Brian R Hunt
Publisher: New York : Springer, ©2004.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Dedicated to Professor James Yorke, a pioneer in the field of the book includes an extensive, anecdotal introduction discussing Yorke's contributions and giving readers a general overview of the key developments of the theory from a historical perspective."--BOOK JACKET.
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Genre/Form: Aufsatzsammlung
Named Person: James A Yorke
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Brian R Hunt
ISBN: 0387403493 9780387403496
OCLC Number: 52271683
Description: x, 514 pages : illustrations ; 26 cm
Contents: Deterministic Nonperiodic Flow / E. N. Lorenz --
On Invariant Measures for Expanding Differentiable Mappings / K. Krzyzewski and W. Szlenk --
On the Existence of Invariant Measures for Piecewise Monotonic Transformations / A. Lasota and J. A. Yorke --
The Ergodic Theory of Axiom A Flows / R. Bowen and D. Ruelle --
Period Three Implies Chaos / T.-Y. Li and J. A. Yorke --
Simple Mathematical Models with Very Complicated Dynamics / R. M. May --
A Two-Dimensional Mapping with a Strange Attractor / M. Henon --
Strange Attractors and Chaotic Motions of Dynamical Systems / E. Ott --
Ergodic Properties of Invariant Measures for Piecewise Monotonic Transformations / F. Hofbauer and G. Keller --
The Dimension of Chaotic Attractors / D. J. Farmer, E. Ott and J. A. Yorke --
Measuring the Strangeness of Strange Attractors / P. Grassberger and I. Procaccia --
Invariant Measures and Variational Principle for Lozi Applications / M. Rychlik --
Ergodic Properties of The Lozi Mappings / P. Collet and Y. Levy --
On the Concept of Attractor / J. Milnor --
Bowen-Ruelle Measures for Certain Piecewise Hyperbolic Maps / L.-S. Young --
Ergodic Theory of Chaos and Strange Attractors / J.-P. Eckmann and D. Ruelle --
Another Proof of Jakobson's Theorem and Related Results / M. R. Rychlik --
Unstable Periodic Orbits and the Dimensions of Multifractal Chaotic Attractors / C. Grebogi, E. Ott and J. A. Yorke --
Absolutely Continuous Invariant Measures for Piecewise Expanding C[superscript 2] Transformation in R[superscript N] / P. Gora and A. Boyarsky --
Sinai-Bowen-Ruelle Measures for Certain Henon Maps / M. Benedicks and L.-S. Young --
On the Approximation of Complicated Dynamical Behavior / M. Dellnitz and O. Junge --
Absolutely Continuous Invariant Measures for Piecewise Real-Analytic Expanding Maps on the Plane / M. Tsujii --
SRB Measures for Partially Hyperbolic Systems Whose Central Direction in Mostly Expanding / J. F. Alves, C. Bonatti and M. Viana --
SLYRB Measures: Natural Invariant Measures for Chaotic Systems / B. R. Hunt, J. A. Kennedy, T.-Y. Li and H. E. Nusse.
Responsibility: Brian R. Hunt [and others], editors.
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Abstract:

We would particularly like to thank Achi Dosanjh (senior editor math- ematics), Elizabeth Young (assistant editor mathematics), Joel Ariaratnam (mathematics editorial), and Yong-Soon Hwang (book  Read more...

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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 Read more...

 
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