By Jan A. Sanders,Ferdinand Verhulst,James Murdock
Perturbation thought and specifically general shape idea has proven robust development in contemporary many years. This ebook is a drastic revision of the 1st variation of the averaging booklet. The up-to-date chapters signify new insights in averaging, particularly its relation with dynamical platforms and the speculation of ordinary varieties. additionally new are survey appendices on invariant manifolds. some of the most extraordinary gains of the publication is the gathering of examples, which variety from the extremely simple to a couple which are difficult, real looking, and of substantial useful significance. such a lot of them are provided in cautious element and are illustrated with illuminating diagrams.
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Averaging Methods in Nonlinear Dynamical Systems: 59 (Applied Mathematical Sciences) by Jan A. Sanders,Ferdinand Verhulst,James Murdock