Jan A. Sanders & Ferdinand Verhulst 
Averaging Methods in Nonlinear Dynamical Systems 

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Portada de Jan A. Sanders & Ferdinand Verhulst: Averaging Methods in Nonlinear Dynamical Systems (PDF)

Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a drastic revision of the first edition of the averaging book. The updated chapters represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are survey appendices on invariant manifolds. One of the most striking features of the book is the collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with illuminating diagrams.

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Basic Material and Asymptotics.- Averaging: the Periodic Case.- Methodology of Averaging.- Averaging: the General Case.- Attraction.- Periodic Averaging and Hyperbolicity.- Averaging over Angles.- Passage Through Resonance.- From Averaging to Normal Forms.- Hamiltonian Normal Form Theory.- Classical (First-Level) Normal Form Theory.- Nilpotent (Classical) Normal Form.- Higher-Level Normal Form Theory.- The History of the Theory of Averaging.- A 4-Dimensional Example of Hopf Bifurcation.- Invariant Manifolds by Averaging.- Some Elementary Exercises in Celestial Mechanics.- On Averaging Methods for Partial Differential Equations.
Idioma Inglés ● Formato PDF ● Páginas 434 ● ISBN 9780387489186 ● Tamaño de archivo 2.5 MB ● Edad 02-99 años ● Editorial Springer New York ● Ciudad NY ● País US ● Publicado 2007 ● Edición 2 ● Descargable 24 meses ● Divisa EUR ● ID 2145265 ● Protección de copia Adobe DRM
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