Regularity and Complexity in Dynamical Systems

Author:   Albert C. J. Luo
Publisher:   Springer-Verlag New York Inc.
Edition:   2012 ed.
Volume:   1
ISBN:  

9781461461685


Pages:   497
Publication Date:   31 January 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Regularity and Complexity in Dynamical Systems


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Overview

Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive, discontinuous, and switching systems. In traditional analysis, the periodic and chaotic behaviors in continuous, nonlinear dynamical systems were extensively discussed even if unsolved. In recent years, there has been an increasing amount of interest in periodic and chaotic behaviors in discontinuous dynamical systems because such dynamical systems are prevalent in engineering. Usually, the smoothening of discontinuous dynamical system is adopted in order to use the theory of continuous dynamical systems. However, such technique cannot provide suitable results in such discontinuous systems. In this book, an alternative way is presented to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.

Full Product Details

Author:   Albert C. J. Luo
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2012 ed.
Volume:   1
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   0.777kg
ISBN:  

9781461461685


ISBN 10:   1461461685
Pages:   497
Publication Date:   31 January 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Nonlinear Continuous Dynamical Systems.- Nonlinear Discrete Dynamical Systems.- Chaos and Multifractality.- Complete Dynamics and Synchronization.- Switching Dynamical Systems.- Mapping Dynamics and Symmetry.- Appendix A. Linear Continuous Dynamical Systems.- Appendix B. Linear Discrete Dynamical Systems.

Reviews

From the reviews: The aim of this book is to provide a basis and a survey of the main topics the author's research is devoted to. ... The first and second chapters of the book contain the nonlinear counterpart of the theory for continuous and discrete dynamical systems. ... These two first chapters together with the two appendices conform a textbook for an undergraduate student. (Maite Grau, Zentralblatt MATH, Vol. 1253, 2013)


From the reviews: “The aim of this book is to provide a basis and a survey of the main topics the author’s research is devoted to. … The first and second chapters of the book contain the nonlinear counterpart of the theory for continuous and discrete dynamical systems. … These two first chapters together with the two appendices conform a textbook for an undergraduate student.” (Maite Grau, Zentralblatt MATH, Vol. 1253, 2013)


From the reviews: The aim of this book is to provide a basis and a survey of the main topics the author's research is devoted to. ... The first and second chapters of the book contain the nonlinear counterpart of the theory for continuous and discrete dynamical systems. ... These two first chapters together with the two appendices conform a textbook for an undergraduate student. (Maite Grau, Zentralblatt MATH, Vol. 1253, 2013)


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