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Bifurcation and Chaos in Complex Systems

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Bifurcation and Chaos in Complex Systems Cover

 

Synopses & Reviews

Publisher Comments:

The book presents the recent achievements on bifurcation studies of nonlinear dynamical systems. The contributing authors of the book are all distinguished researchers in this interesting subject area. The first two chapters deal with the fundamental theoretical issues of bifurcation analysis in smooth and non-smooth dynamical systems. The cell mapping methods are presented for global bifurcations in stochastic and deterministic, nonlinear dynamical systems in the third chapter. The fourth chapter studies bifurcations and chaos in time-varying, parametrically excited nonlinear dynamical systems. The fifth chapter presents bifurcation analyses of modal interactions in distributed, nonlinear, dynamical systems of circular thin von Karman plates. The theories, methods and results presented in this book are of great interest to scientists and engineers in a wide range of disciplines. This book can be adopted as references for mathematicians, scientists, engineers and graduate students conducting research in nonlinear dynamical systems.

New Views for Difficult Problems

Novel Ideas and Concepts

Hilbert's 16th Problem

Normal Forms in Polynomial Hamiltonian Systems

Grazing Flow in Non-smooth Dynamical Systems

Stochastic and Fuzzy Nonlinear Dynamical Systems

Fuzzy Bifurcation

Parametrical, Nonlinear Systems

Mode Interactions in nonlinear dynamical systems

About the Author

Professor J. Q. Sun started working on random vibrations of nonlinear systems when he did his doctoral research at the University of California-Berkeley in 1980s. Since joining the faculty at the University of Delaware in 1994, he has successfully completed several research projects on analysis and control of stochastic systems.

Albert C.J. Luo received his B.S. in Mechanical Engineering (1984) and M.S. in Engineering Mechanics (1990) in China and Ph.D. in Applied Mechanics (1996) in Canada. During 1996-1998, he was an NSERC (Canada) post-doctoral fellow at UC Berkeley. From 1998-present, Dr. Luo have worked at Southern Illinois University Edwardsville as Assistant/Associate Professor. During 20 year research experience, Dr. Luo developed stochastic and resonant layer theories in nonlinear Hamiltonian systems; a local theory for non-smooth dynamical systems on connectable domains. In addition, Dr, Luo also developed an approximate plate theory; a large damage theory for anisotropic materials and a generalized fractal theory. He has published over 130 peer-reviewed journal and conference papers. Dr. Luo has served editors for the Journal "Communications in Nonlinear Science and Numerical simulation" and two book series on Nonlinear Science and Complexity. Dr. Luo is the editorial member for IMeCh E Part K Journal of Multibody Dynamics and Journal of Vibration and Control. He also organized over 10 international symposiums and conferences on Dynamics and Control.

Table of Contents

Dedication

Preface

Chapter 1. Bifurcation, Limit Cycle and Chaos of Nonlinear Dynamical Systems (Pei Yu)

Chapter 2. Grazing Flows in Discontinuous Dynamic Systems (Albert C.J. Luo)

Chapter 3. Global Bifurcations of Complex Nonlinear Dynamical Systems with Cell Mapping Methods (Ling Hong and Jian-Qiao Sun)

Chapter 4. Bifurcation Analysis of Nonlinear Dynamic Systems with Time-Periodic Coefficients (Alexandra Dāvid and S.C. Sinha)

Chapter 5. Modal Interactions in Asymmetric Vibrations of Circular Plates (Won Kyoung Lee)

Product Details

ISBN:
9780080462660
Publisher:
Elsevier Science
Subject:
Science : Physics
Editor:
Sun, Jian-Qiao
Editor:
Luo, Albert C. J.
Author:
Sun
Subject:
Science : Physics - General
Subject:
main_subject
Subject:
all_subjects
Publication Date:
June 2006
Binding:
eBooks
Language:
English
Pages:
400

Related Subjects

Computers and Internet » Computers Reference » General
Science and Mathematics » Mathematics » Systems Theory
Science and Mathematics » Physics » General

Bifurcation and Chaos in Complex Systems
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