Regularity and Complexity in Dynamical Systems

2012
ISBN: 978-1-4614-6168-5
Verlag: Springer

Buch, Englisch, Band 1, 497 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 768 g

Reihe: Nonlinear Systems and Complexity

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.

Zielgruppe

Research

Autoren/Hrsg.

Luo, Albert C. J.

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Mathematik | Informatik EDV | Informatik Informatik Berechenbarkeitstheorie, Komplexitätstheorie

Inhaltsverzeichnis

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.