Averaging Methods in Nonlinear Dynamical Systems - Couverture souple

Livre 32 sur 94: Applied Mathematical Sciences

Sanders, Jan A. A.; Verhulst, Ferdinand; Murdock, James

 
9781441923769: Averaging Methods in Nonlinear Dynamical Systems

Synopsis

This second edition offers a wide-ranging update and revision of the previous edition. 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. Since the first edition, the book has expanded in length and a third author, James Murdock has been added. 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 profuse, illuminating diagrams.

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Présentation de l'éditeur

Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a revision of the first edition of the averaging book. Updated chapters represent new insights in averaging and offer an effective entrance into this topic.

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