Full Description
This book provides a systematic introduction to the dynamical behaviors of discontinuous dynamical systems and system synchronization. The first part of the book presents the theory of flow switching in discontinuous dynamical systems as well as the switching dynamics in such discontinuous systems. The second part presents a theory for interaction discontinuities between distinct dynamical systems, from which partial and complete chaotic synchronizations in such systems are studied analytically and experimentally.
Contents
Introduction.- The Flow Passability Theory.- A Duffing-like Oscillator with Signum Nonlinearity.- Switching Dynamics of a FitzHugh-Nagumo Circuit.- A Memristive
Hindmarsh-Rose Neuron System.- Dynamical System Interaction Theory.- Two-identical Systems Synchronization.- Chua-Systems Synchronization and Implementation.- Function Synchronization of Dynamic Systems.