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© 2009

Discontinuous Dynamical Systems on Time-varying Domains

Benefits

  • First book on a theory of discontinuous dynamical systems on time-varying domains

  • Offers a fundamental theory and methodology in discontinuous dynamical systems

Book

Part of the Nonlinear Physical Science book series (NPS)

Table of contents

About this book

Introduction

"Discontinuous Dynamical Systems on Time-varying Domains" is the first monograph focusing on this topic. While in the classic theory of dynamical systems the focus is on dynamical systems on time-invariant domains, this book presents discontinuous dynamical systems on time-varying domains where the corresponding switchability of a flow to the time-varying boundary in discontinuous dynamical systems is discussed. From such a theory, principles of dynamical system interactions without any physical connections are presented. Several discontinuous systems on time-varying domains are analyzed in detail to show how to apply the theory to practical problems. The book can serve as a reference book for researchers, advanced undergraduate and graduate students in mathematics, physics and mechanics.

Dr. Albert C. J. Luo is a professor at Southern Illinois University Edwardsville, USA. His research is involved in the nonlinear theory of dynamical systems. His main contributions are in the following aspects: a stochastic and resonant layer theory in nonlinear Hamiltonian systems, singularity on discontinuous dynamical systems, and approximate nonlinear theories for a deformable-body.

Keywords

Bifurcations Discontinuous dynamical systems Dynamical system HEP NPS Singularity System interactions friction mechanics nonlinear dynamics

Authors and affiliations

  1. 1.Department of Mechanical and Industrial EngineeringSouthern Illinois University EdwardsvilleEdwardsvilleUSA

Bibliographic information

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