Nonlinear Dynamics: Exploration Through Normal Forms (Paperback) (ISBN-13: 9780486780450)

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.

Author: Peter B. Kahn, Yair Zarmi
ISBN-10: 0486780457
ISBN-13: 9780486780450
Publisher: Dover Publications
Language: English
Published: 08/20/2014
Pages: 416
Format: Paperback
Weight: 1.25lbs
Size: 8.90h x 5.90w x 0.90d