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Analysis and Simulation of Chaotic Systems

Frank Charles Hoppensteadt

出版	Springer-Verlag, 1993
主題	Science / Chaotic Behavior in SystemsScience / System Theory
ISBN	35409791669783540979166
URL	http://books.google.com.hk/books?id=vMXuAAAAMAAJ&hl=&source=gbs_api

註釋

Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable models for further mathematical analysis or computer simulations. For the most part, derivations are based on perturbation methods, and the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro-differential and ordinary and partial differential equations are developed throughout the book.