Analysis and Simulation of Chaotic Systems - Applied Mathematical Sciences - Frank C. Hoppensteadt - Books - Springer-Verlag New York Inc. - 9781475773866 - March 17, 2013
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Frank C. Hoppensteadt
Analysis and Simulation of Chaotic Systems - Applied Mathematical Sciences 2nd Ed. 2000. Softcover Reprint of the Original 2n edition

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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.

318 pages, 1 black & white tables, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released March 17, 2013
ISBN13 9781475773866
Publishers Springer-Verlag New York Inc.
Pages 318
Dimensions 155 × 235 × 18 mm   ·   480 g
Language English  

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