Analysis and Simulation of Chaotic Systems: 2nd edition: 94 - Rilegato

Hoppensteadt, Frank C.

Rilegato

ISBN 10: 0387989439 ISBN 13: 9780387989433

Casa editrice: Springer Nature, 2000

Riassunto

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.

Su questo libro

Contenuti

Linear Systems.- Dynamical Systems.- Stability Methods for Nonlinear Systems.- Bifurcation and Topological Methods.- Regular Perturbation Methods.- Iterations and Perturbations.- Methods of Averaging.- Quasistatic-State Approximations.

Product Description

Book by Hoppensteadt Frank C

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 0387989439
• ISBN 13: 9780387989433
• Rilegatura: Copertina rigida
• Numero di pagine: 315
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania