Albert C. J. Luo "Regularity and Complexity in Dynamical Systems"
ISBN: 1461415233 | 2012 | PDF | 504 pages | 8,8 MB
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.