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Elementary Symbolic Dynamics and Chaos in Dissipative Systems

1989 Mathematics
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Release : 1989
Genre : Mathematics
Kind : eBook
Book Rating : 988/5 ( reviews)

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Book Synopsis Elementary Symbolic Dynamics and Chaos in Dissipative Systems by : Bai-Lin Hao

Download or read book Elementary Symbolic Dynamics and Chaos in Dissipative Systems written by Bai-Lin Hao. This book was released on 1989. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chaotic Behaviour of Deterministic Dissipative Systems

1995-07-20 Science
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Release : 1995-07-20
Genre : Science
Kind : eBook
Book Rating : 308/5 ( reviews)

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Book Synopsis Chaotic Behaviour of Deterministic Dissipative Systems by : Milos Marek

Download or read book Chaotic Behaviour of Deterministic Dissipative Systems written by Milos Marek. This book was released on 1995-07-20. Available in PDF, EPUB and Kindle. Book excerpt: This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.

Applied Symbolic Dynamics And Chaos

1998-07-04 Science
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Release : 1998-07-04
Genre : Science
Kind : eBook
Book Rating : 972/5 ( reviews)

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Book Synopsis Applied Symbolic Dynamics And Chaos by : Bailin Hao

Download or read book Applied Symbolic Dynamics And Chaos written by Bailin Hao. This book was released on 1998-07-04. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Symbolic Dynamics and Chaos

1998 Science
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Release : 1998
Genre : Science
Kind : eBook
Book Rating : 123/5 ( reviews)

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Book Synopsis Applied Symbolic Dynamics and Chaos by : Bai-lin Hao

Download or read book Applied Symbolic Dynamics and Chaos written by Bai-lin Hao. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Symbolic Dynamics And Chaos (Second Edition)

2018-05-11 Science
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Release : 2018-05-11
Genre : Science
Kind : eBook
Book Rating : 442/5 ( reviews)

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Book Synopsis Applied Symbolic Dynamics And Chaos (Second Edition) by : Hao Bailin

Download or read book Applied Symbolic Dynamics And Chaos (Second Edition) written by Hao Bailin. This book was released on 2018-05-11. Available in PDF, EPUB and Kindle. Book excerpt: 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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