Singularity and Dynamics on Discontinuous Vector Fields
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Singularity and Dynamics on Discontinuous Vector Fields by Albert Luo
Book DescriptionThis book discussed fundamental problems in dynamics, which extensively exist in engineering, natural and social sciences. The book presented a basic theory for the interactions among many dynamical systems and for a system whose motions are constrained naturally or artificially. The methodology and techniques presented in this book are applicable to discontinuous dynamical systems in physics, engineering and control. In addition, they may provide useful tools to solve non-traditional dynamics in biology, stock market and internet network et al, which cannot be easily solved by the traditional Newton mechanics. The new ideas and concepts will stimulate ones' thought and creativities in corresponding subjects. The author also used the simple, mathematical language to write this book. Therefore, this book is very readable, which can be either a textbook for senior undergraduate and graduate students or a reference book for researches in dynamics. Challenging continuous Newton's dynamics Original theory and seeds of new researches in the field Wide spectrum of applications in science and engineering Systematic presentation and clear illustrations
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Book DetailsISBN: 9780444527660
(225mm x 150mm x 17mm)
Imprint: Elsevier Science Ltd
Publisher: Elsevier Science & Technology
Publish Date: 7-Jul-2006
Country of Publication: United Kingdom
Books By Author Albert Luo
Analytical Routes to Chaos in Nonlinear Engineering, Hardback (June 2014)
Nonlinear problems are of interest to engineers, physicists and mathematicians and many other scientists because most systems are inherently nonlinear in nature. As nonlinear equations are difficult to solve, nonlinear systems are commonly approximated by linear equations.
Toward Analytical Chaos in Nonlinear Systems, Hardback (June 2014)
Presents an approach to analytically determine periodic flows to chaos or quasi-periodic flows in nonlinear dynamical systems with/without time-delay. This title covers the mathematical theory and includes two examples of nonlinear systems with/without time-delay in engineering and physics.
Vibro-Impact Dynamics, Hardback (January 2013)
This book establishes vibro-impact dynamics as a subset of the theory of discontinuous systems, thus enabling all vibro-impact systems to be explored and characterized for applications. All topics are logically integrated to allow for vibro-impact dynamics, the central theme, to be presented.
Synchronized Dynamics of Complex Systems, Hardback (February 2008)» View all books by Albert Luo
Summarizes the discoveries involving the study of synchronization in coupled chaotic systems. This book describes the complete synchronization phenomenon, both for low and for high dimensional situations, and illustrates possible applications in the field of communicating with chaos. It provides an overview on synchronization phenomena.
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Author Biography - Albert Luo
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.
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