Analysis and Simulation of Chaotic Systems

Hoppensteadt, Frank C.

ISBN 10: 0387989439 / ISBN 13: 9780387989433

Edité par Springer, 2000

A propos de cet article

This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.

N° de réf. du vendeur ABNR-82515

Détails bibliographiques

• Titre: Analysis and Simulation of Chaotic Systems
• Éditeur: Springer
• Date de parution: 2000
• Langue: anglais
• ISBN à 10 chiffres: 0387989439
• ISBN à 13 chiffres: 9780387989433
• Reliure: Couverture rigide
• Édition: 2ème Édition
• État de l'article: New

A propos de ce titre

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.