عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9780387218304
(Number (ISBN
9781441923301
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
The Theory of Chaotic Attractors
General Material Designation
[Book]
First Statement of Responsibility
edited by Brian R. Hunt, Tien-Yien Li, Judy A. Kennedy, Helena E. Nusse.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
2004.
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
The development of the theory of chaotic dynamics and its subsequent wide applicability in science and technology has been an extremely important achievement of modern mathematics. This volume collects several of the most influential papers in chaos theory from the past 40 years, starting with Lorenz's seminal 1963 article and containing classic papers by Lasota and Yorke (1973), Bowen and Ruelle (1975), Li and Yorke (1975), May (1976), Henon (1976), Milnor (1985), Eckmann and Ruelle (1985), Grebogi, Ott, and Yorke (1988), Benedicks and Young (1993) and many others, with an emphasis on invariant measures for chaotic systems. Dedicated to Professor James Yorke, a pioneer in the field and a recipient of the 2003 Japan Prize, 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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781441923301
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Differentiable dynamical systems.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Hunt, Brian R.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Kennedy, Judy A.
Li, Tien-Yien.
Nusse, Helena E.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307162700.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
