国外不连续系统理论相关资料
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
回复 #1 chaos2 的帖子
这个仅仅是新书推荐吧! 介绍性的而已，要是有现成的就好了！:lol :lol回复 #3 octopussheng 的帖子
看了一些Albert C J Luo的文献，确实里面有些东西还是写得不错的，他是个中国人哈回复 #4 无水1324 的帖子
错了不是，“假洋鬼子”，哈哈！有点贬义了！不过对不连续系统，我的了解还是很有限了！
回复 #5 octopussheng 的帖子
哈哈什么假洋鬼子哈，他确实是个中国人哦，还发了很多不错的论文
回复 #6 无水1324 的帖子
呵呵，我是看了他的名字瞎猜的啦！他的文章我倒没看到过◎领域不一样吧，呵呵！
回复 #6 无水1324 的帖子
罗长军！
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