Nonlinear Dynamics: Exploration Through Normal Forms

Nonlinear Dynamics: Exploration Through Normal Forms

By: Peter B. Kahn, Prof. Yair Zarmi

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Geared toward advanced undergraduates and graduate students, this exposition covers the method of normal forms and its application to ordinary differential equations through perturbation analysis. In addition to its emphasis on the freedom inherent in the normal form expansion, the text features numerous examples of equations, the kind of which are encountered in many areas of science and engineering.
The treatment begins with an introduction to the basic concepts underlying the normal forms. Coverage then shifts to an investigation of systems with one degree of freedom that model oscillations, in which the force has a dominant linear term and a small nonlinear one. The text considers a variety of nonautonomous systems that arise during the study of forced oscillatory motion. Topics include boundary value problems, connections to the method of the center manifold, linear and nonlinear Mathieu equations, pendula, Nuclear Magnetic Resonance, coupled oscillator systems, and other subjects. 1998 edition.

Reprint of the John Wiley & Sons, New York, 1998 edition.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486780457
ISBN 139780486780450
Author/EditorPeter B. Kahn, Prof. Yair Zarmi
Page Count416
Dimensions6 x 9

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