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Bifurcation and Chaos in Complex Systems
 
 

Bifurcation and Chaos in Complex Systems, 1st Edition

 
Bifurcation and Chaos in Complex Systems, 1st Edition,Jian-Qiao Sun,Albert Luo,ISBN9780444522290
 
 
 

Sun   &   Luo   

Elsevier Science

9780444522290

9780080462660

400

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Key Features

· 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

Description

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.

Readership

Mechanical Engineers, Electrical Engineers, Physicists, Mathematicians, Bio-Physicisists, Engineers and Students

Jian-Qiao Sun

Ph.D., M.S., B.S.

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.

Affiliations and Expertise

University of Delaware, Department of Mechanical Engineering, Newark, U.S.A.

Albert Luo

Ph.D.

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.

Affiliations and Expertise

Southern Illinois University, Department of Mechanical and Industrial Engineering, Edwardsville, USA

View additional works by Albert C.J. Luo

Bifurcation and Chaos in Complex Systems, 1st Edition

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 Dàvid and S.C. Sinha)
Chapter 5. Modal Interactions in Asymmetric Vibrations of Circular Plates (Won Kyoung Lee)
 
 
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