Articles liés à Analysis and Simulation of Chaotic Systems.: 2nd edition

Analysis and Simulation of Chaotic Systems.: 2nd edition - Couverture rigide

Livre 8 sur 94: Applied Mathematical Sciences

Hoppensteadt, Frank-C

 
9780387989433: Analysis and Simulation of Chaotic Systems.: 2nd edition
Couverture rigide
ISBN 10 : 0387989439 ISBN 13 : 9780387989433
Editeur : Springer-Verlag New York Inc., 2000

Synopsis

Beginning with ordinary language models or realistic mathematical models of physical or biological phenomena, the author derives tractable mathematical models that are amenable to further mathematical analysis or to elucidating computer simulations. For the most part, derivations are based on perturbation methods. Because of this, the majority of the text is devoted to careful derivations of implicit function theorems, methods 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. This explains why stability and perturbation results developed for quite simple problems are often useful for more complicated, even chaotic, ones. Relevant topics about linear and nonlinear systems, nonlinear oscillations and stability methods for difference, differential delay, and integro-differential, and ordinary and partial differential equations are developed in this book. The material is oriented toward engineering, science, and mathematics students having a background in calculus, matrices, and differential equations. 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer-Verlag New York Inc.
Date d'édition
2000
Langue
anglais
ISBN 10 
0387989439
ISBN 13 
9780387989433
Reliure
Relié
Numéro d'édition
2
Nombre de pages
338
Coordonnées du fabricant
non disponible
Personne responsable
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