Hao Bailin's Books

Applied Symbolic Dynamics And Chaos

By: Bailin Hao,Wei-mou Zheng

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Applied Symbolic Dynamics And Chaos

By: Bailin Hao,Wei-mou Zheng

Latest Edition: Applied Symbolic Dynamics and Chaos (2nd Edition)Symbolic dynamics is a coarse-grained description of dynamics. It provides a rigorous way to understand the global systematics of periodic and chaotic motion in a system. In the last decade it has been applied to nonlinear systems described by one- and two-dimensional maps as well as by ordinary differential equations. This book will help practitioners in nonlinear science and engineering to master that powerful tool.

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Page Count

460

Publisher

World Scientific

Published Date

ISBN 10

9814495972

ISBN 13

9789814495974

Elementary Symbolic Dynamics And Chaos In Dissipative Systems

By: Bailin Hao

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Elementary Symbolic Dynamics And Chaos In Dissipative Systems

By: Bailin Hao

This book is a monograph on chaos in dissipative systems written for those working in the physical sciences. Emphasis is on symbolic description of the dynamics and various characteristics of the attractors, and written from the view-point of practical applications without going into formal mathematical rigour. The author used elementary mathematics and calculus, and relied on physical intuition whenever possible. Substantial attention is paid to numerical techniques in the study of chaos. Part of the book is based on the publications of Chinese researchers, including those of the author's collaborators.

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Page Count

478

Publisher

World Scientific

Published Date

ISBN 10

9814520012

ISBN 13

9789814520010

Applied Symbolic Dynamics And Chaos (Second Edition)

By: Hao Bailin,Zheng Wei-mou

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Applied Symbolic Dynamics And Chaos (Second Edition)

By: Hao Bailin,Zheng Wei-mou

Symbolic dynamics is a coarse-grained description of dynamics. It has been a long-studied chapter of the mathematical theory of dynamical systems, but its abstract formulation has kept many practitioners of physical sciences and engineering from appreciating its simplicity, beauty, and power. At the same time, symbolic dynamics provides almost the only rigorous way to understand global systematics of periodic and, especially, chaotic motion in dynamical systems. In a sense, everyone who enters the field of chaotic dynamics should begin with the study of symbolic dynamics. However, this has not been an easy task for non-mathematicians. On one hand, the method of symbolic dynamics has been developed to such an extent that it may well become a practical tool in studying chaotic dynamics, both on computers and in laboratories. On the other hand, most of the existing literature on symbolic dynamics is mathematics-oriented. This book is an attempt at partially filling up this apparent gap by emphasizing the applied aspects of symbolic dynamics without mathematical rigor. Contents: Preface to the Second Edition Preface to the First Edition Introduction Symbolic Dynamics of Unimodal Maps Maps with Multiple Critical Points Symbolic Dynamics of Circle Maps Symbolic Dynamics of Two-Dimensional Maps Application to Ordinary Differential Equations Counting the Number of Periodic Orbits Symbolic Dynamics and Grammatical Complexity Symbolic Dynamics and Knot Theory Appendix References Index Readership: Researchers and students interested in chaotic dynamics. Keywords: Symbolic Dynamics;ChaosReview: Key Features: No previous knowledge of dynamical systems theory is required in order to read this book The revisions concern mainly the application to ordinary differential equations via constructing two-dimensional symbolic dynamics of the corresponding Poincare maps

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Page Count

520

Publisher

World Scientific

Published Date

ISBN 10

9813236442

ISBN 13

9789813236448

Directions in Chaos

By: Bai-lin Hao

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Directions in Chaos

By: Bai-lin Hao

Volume 2 of Directions in Chaos consists of the contributions made to the Beijing Summer School on Chaotic Phenomena in Nonlinear Systems held in August 1987.

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Page Count

402

Publisher

World Scientific

Published Date

ISBN 10

997150362X

ISBN 13

9789971503628

Experimental Study and Characterization of Chaos

By: Bai-lin Hao

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Experimental Study and Characterization of Chaos

By: Bai-lin Hao

This is a continuation of the previous two volumes of review papers on chaotic dynamics and related topics, published in 1987 and 1988 respectively. In addition to a few reviews written by active researchers specially for the volume, it also contains several reviews based on lectures delivered at the Spring School on Experimental Study of Chaotic Phenomena, held in Tianjing, China, in May 1989, and at the session on Nonlinear Dynamics during the Workshop on Condensed Matter, Molecular and Atomic Physics, held in June - August, 1989, at the International Centre for Theoretical Physics at Trieste, Italy. The emphasis has been made on multifractals, applied symbolic dynamics, the role of unstable orbits and transient chaos. This volume would be useful to graduate students and researchers in physical sciences and engineering.

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