Analysis and Simulation of Chaotic Systems

Hoppensteadt, Frank C.

ISBN 10: 0387979166 / ISBN 13: 9780387979168

Published by Springer, 1995

About this Item

Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.

Seller Inventory # GRP94596026

Bibliographic Details

• Title: Analysis and Simulation of Chaotic Systems
• Publisher: Springer
• Publication Date: 1995
• Language: English
• ISBN 10: 0387979166
• ISBN 13: 9780387979168
• Binding: Soft cover
• Edition: First.
• Condition: Very Good
• Weight: 1.349 pounds

About this title

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.