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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

Auteur : John Guckenheimer; Philip Holmes
Éditeur : New York : Springer-Verlag, ©1983.
Collection : Applied mathematical sciences (Springer-Verlag New York Inc.), v. 42.
Édition/format :   Print book : AnglaisVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :

Applies the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. This book includes exercises that convey the important analytical underpinnings of  Lire la suite...

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Détails

Type d’ouvrage : Ressource Internet
Format : Livre, Ressource Internet
Tous les auteurs / collaborateurs : John Guckenheimer; Philip Holmes
ISBN : 0387908196 9780387908199 3540908196 9783540908197
Numéro OCLC : 9110889
Description : xvi, 459 . : illustrations ; 24 cm.
Contenu : Contents: Introduction: Differential Equations and Dynamical Systems.- An Introduction to Chaos: Four Examples.- Local Bifurcations.- Averaging and Perturbation from a Geometric Viewpoint.- Hyperbolic Sets, Sympolic Dynamics, and Strange Attractors.- Global Bifurcations.- Local Codimension Two Bifurcations of Flows.- Appendix: Suggestions for Further Reading. Postscript Added at Second Printing. Glossary. References. Index.
Titre de collection : Applied mathematical sciences (Springer-Verlag New York Inc.), v. 42.
Responsabilité : John Guckenheimer, Philip Holmes.
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J. Guckenheimer and P. Holmes Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields "The book is rewarding reading ... The elementary chapters are suitable for an introductory Lire la suite...

 
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