Regularity and Complexity in Dynamical Systems - Luo, Albert C. J.

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Résumé :
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.

Biographie:
Prof. Albert C. J. Luo is a distinguished research professor at the Department of Mechanical Engineering at Southern Illinois University Edwardsville, USA. He received his Ph.D. degree from the University of Manitoba, Canada, in 1995. His research focuses on nonlinear dynamics, nonlinear mechanics, and nonlinear differential equations. He has published over 50 monographs, 20 edited books and more than 400 journal articles and conference papers in these fields. He received the Paul Simon Outstanding Scholar Award in 2008 and an ASME fellowship in 2007. He was an editor for Communications in Nonlinear Science and Numerical Simulation for 14 years, and an associate editor for ASME Journal of Computational and Nonlinear Dynamics, and International Journal of Bifurcation and Chaos. He now serves as a co-editor of the Journal of Applied Nonlinear Dynamics and editor of various book series, including Nonlinear Systems and Complexity and Nonlinear Physical Science....

Sommaire:
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.