Analysis and Simulation of Chaotic Systems

Name: Analysis and Simulation of Chaotic Systems
Brand: Springer, Berlin
SKU: 9781475773866
Price: 270.74 RON
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Autor: Frank C. Hoppensteadt

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Editura: Springer, Berlin

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Beginning with realistic mathematical or verbal models of physical or biological phenomena, the auth...

Informații despre carte

Autor

Frank C. Hoppensteadt

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2013

Pagini

318

EAN

9781475773866

ISBN

1475773862

Enbook ID

02181709

Editura

Springer, Berlin

Greutate

528

Dimensiuni

171 x 236 x 18

Descriere completă

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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