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Item Details
Title: ANALYSIS AND SIMULATION OF CHAOTIC SYSTEMS
By: Frank C. Hoppensteadt
Format: Paperback

List price: £69.99


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ISBN 10: 1475773862
ISBN 13: 9781475773866
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 17 March, 2013
Edition: 2nd ed. 2000. Softcover reprint of the original 2nd ed. 2000
Series: Applied Mathematical Sciences 94
Pages: 318
Synopsis: 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.
Illustrations: 1 Tables, black and white; XX, 318 p.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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