The Method of Normal Forms 2nd edition [Repost]

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The Method of Normal Forms (2nd edition) [Repost]


Ali H. Nayfeh - The Method of Normal Forms (2nd edition)

Published: 2011-08-29 | ISBN: 352741097X | PDF | 342 pages | 2 MB

The Method of Normal Forms (2nd edition) [Repost]


Ali H. Nayfeh - The Method of Normal Forms (2nd edition)

Published: 2011-08-29 | ISBN: 352741097X | PDF | 342 pages | 2 MB

In this introductory treatment the author Ali Nayfeh presents different concepts of dynamical systems theory and nonlinear dynamics. He systematically introduces models and techniques and states the relevant ranges of their validity and applicability. The text provides the reader with a clear operational framework instead of focusing on the underlying mathematical rigor. The exposition mainly features examples, which are shown through to their fianl outcome. For most of the examples, the results obtained with the method of normal forms are shown to be equivalent to to those obtained with other perturbation methods, such as the method of multiple scales and the method of averaging.

Additions to this new edition concern major topics of current interest. In particular, the author has added three new chapters dedicated to maps, bifurcations of continuous systems, and retarded systems. Especially the latter topic has gained major importance in several applications in mechanics and other areas.

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