Titlebook: Regularity and Complexity in Dynamical Systems; Albert C. J. Luo Book 2012 Springer Science+Business Media, LLC 2012 Discontinuous dynamic

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Complete Dynamics and Synchronization,terative maps. In existing analysis, the solutions relative to “Yang” in nonlinear dynamical systems are extensively investigated. However, the solutions pertaining to “Ying” in nonlinear dynamical systems are presented. A set of concepts on “Ying” and “Yang” in discrete dynamical systems are introd

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Switching Dynamical Systems, points will be discussed. The existence and stability of switching dynamical systems will be discussed through equi-measuring functions. The G-function of the equi-measuring functions will be introduced. The local increasing and decreasing of switching systems to equi-measuring functions will be pr

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Book 2012ive, 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 discont

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Book 2012opted 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. .

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Mapping Dynamics and Symmetry,, which is a source to generate the complex motions in discontinuous dynamical systems. The flow symmetry in discontinuous dynamical systems will be discussed through the mapping dynamics and grazing. The strange attractor fragmentation generated by the grazing of flows to the boundary will be presented.

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Nonlinear Continuous Dynamical Systems,periodically excited Duffing oscillator with cubic damping and constant force will be discussed as an application. The stability of approximate periodic solutions of such a Duffing oscillator will be discussed.

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