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有两本书比较好。
SINGULARITY AND DYNAMICS ON DISCONTINUOUS VECTOR FIELDS, 3
By
Albert Luo, Ph.D., Southern Illinois University, Department of Mechanical and Industrial Engineering, Edwardsville, USA
This 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.
http://www.elsevier.com/wps/find/bookdescription.cws_home/BS_S592/description#description
http://www.elsevier.com/wps/find/bookdescription.cws_home/708284/description#description
GLOBAL TRANSVERSALITY, RESONANCE AND CHAOTIC DYNAMICS
by Albert C J Luo (Southern Illinois University Edwardsville, USA)
This unique book presents a different point of view on the fundamental theory of global transversality, resonance and chaotic dynamics in n-dimensional nonlinear dynamic systems. The methodology and techniques presented in this book are applicable to nonlinear dynamical systems in general. This book provides useful tools for analytical and numerical predictions of chaos in nonlinear Hamiltonian and dissipative systems. All theoretical results are strictly proved. However, the ideas presented in this book are less formal and rigorous in an informal and lively manner. The author hopes the initial ideas may give some inspirations in the field of nonlinear dynamics. With physical concepts, 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 nonlinear dynamics.
http://www.worldscibooks.com/chaos/6584.html |
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发表于 2007-11-1 07:36
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发表于 2007-11-2 13:37
