Physics-Mechanics: Nonlinear dynamics and chaos

Analysis and simulations of chaotic systems

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Title (user) : Analysis and simulations of chaotic systemsTitle (google) : Analysis and Simulation of Chaotic SystemsISBN : 9780387226989,9780387989433,0387989439GoogleBook ID : roiD55kCw8QCOpenLibrary ID : OL7449882MEdition : 2ndSeries : Applied Mathematical SciencesAutho...
Description

Title (user) : Analysis and simulations of chaotic systems

Title (google) : Analysis and Simulation of Chaotic Systems

ISBN : 9780387226989,9780387989433,0387989439

GoogleBook ID : roiD55kCw8QC

OpenLibrary ID : OL7449882M

Edition : 2nd

Series : Applied Mathematical Sciences

Authors (user) : Frank C. Hoppensteadt

Authors (google) : Frank C. Hoppensteadt

Publisher : Springer

Language : English

Publication Date : 2000

File Format : pdf

Categories : Mathematics


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Description (user) :
Designed to be used at the graduate level in applied mathematics, studying mathematical analysis and computer simulation of dynamical systems. Computations and computer simulations are used throughout to illustrate the phanomena discussed and to supply readers with probes for use on new problems. 74 illustrations


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Description (google) :
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. For the second edition, the author has restructured the chapters, placing special emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through 8. In addition, more material on bifurcations from the point of view of canonical models, sections on randomly perturbed systems, and several new computer simulations have been added.

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