Averaging Methods in Nonlinear Dynamical Systems (Applied Mathematical Sciences, #59)

by Jan A. Sanders, Ferdinand Verhulst, and James Murdock

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Book cover for Averaging Methods in Nonlinear Dynamical Systems

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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.

  • ISBN13 9780387489162
  • Publish Date 6 June 2007 (first published 25 October 1985)
  • Publish Status Active
  • Publish Country US
  • Imprint Springer-Verlag New York Inc.
  • Edition 2nd ed. 2007
  • Format Hardcover
  • Pages 434
  • Language English