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.
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.
Dr. Fuhong Min is a Professor at Nanjing Normal University, China. Her main research lies on dynamical system synchronization, discontinuous dynamical systems, nonlinear circuit and system, and neural networks. Dr. Min has published 148 peer-reviewed journal and conference papers. She has many Ph.D. and Master students graduation under her supervision.
