EAN: 9780387989433

ANALYSIS AND SIMULATION OF CHAOTIC SYSTEMS - FR...

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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