Download PDF by Yair Zarmi,Peter B. Kahn: Nonlinear Dynamics: Exploration Through Normal Forms (Dover

By Yair Zarmi,Peter B. Kahn

Geared towards complex undergraduates and graduate scholars, this exposition covers the tactic of standard types and its program to dull differential equations via perturbation research. as well as its emphasis at the freedom inherent within the general shape enlargement, the textual content good points a number of examples of equations, the type of that are encountered in lots of parts of technological know-how and engineering.
The therapy starts with an creation to the elemental thoughts underlying the conventional kinds. assurance then shifts to an research of platforms with one measure of freedom that version oscillations, within which the strength has a dominant linear time period and a small nonlinear one. The textual content considers quite a few nonautonomous platforms that come up in the course of the research of compelled oscillatory movement. issues contain boundary price difficulties, connections to the tactic of the heart manifold, linear and nonlinear Mathieu equations, pendula, Nuclear Magnetic Resonance, coupled oscillator platforms, and different matters. 1998 edition.

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Nonlinear Dynamics: Exploration Through Normal Forms (Dover Books on Physics) by Yair Zarmi,Peter B. Kahn

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