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From the publisher

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.

From the rear cover

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.

This book also:

Illustrates new concepts and methodology in discontinuous dynamical systems

Uses different ideas to describe complicated dynamical systems in real worlds

Discuss the complete dynamics and the corresponding Ying-Yang theory as well as complexity and factuality of chaos in dynamical systems

Discusses the mechanism of chaos and diffusion in impulsive systems

Discusses strange attractor fragmentation and hidden mathematical structures

Contains intuitive illustrations and systematical description as well as complete example demonstrations

Regularity and Complexity in Dynamical Systems is an ideal book for those interested in better understanding complexity and chaos caused by nonlinearity, discontinuity, switching, and impulses.

Details

Title Regularity and Complexity in Dynamical Systems
Author Albert C. Luo
Binding Hardback
Edition Firstst ed. 2012
Pages 497
Volumes 1
Language ENG
Publisher Springer
Publication date 2011
ISBN 9781461415237 / 1461415233
Weight 2.12 lbs (0.96 kg)
Dimensions 9.25 x 6.1 x 1.31 in (23.50 x 15.49 x 3.33 cm)
Category Mathematics
Dewey Decimal Code 620.001

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Regularity and Complexity in Dynamical Systems Hardback - 2011

by Albert C. Luo