Regularity and Complexity in Dynamical Systems

✍ Scribed by Albert C. J. Luo (auth.)

• Publisher: Springer-Verlag New York
• Year: 2012
• Tongue: English
• Leaves: 501
• Series: Nonlinear Systems and Complexity 1
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xi
Nonlinear Continuous Dynamical Systems....Pages 1-63
Nonlinear Discrete Dynamical Systems....Pages 65-136
Chaos and Multifractality....Pages 137-167
Complete Dynamics and Synchronization....Pages 169-221
Switching Dynamical Systems....Pages 223-296
Mapping Dynamics and Symmetry....Pages 297-363
Back Matter....Pages 365-497

✦ Subjects

Appl.Mathematics/Computational Methods of Engineering;Complex Systems;Numerical and Computational Physics;Nonlinear Dynamics