Nonlinear Dynamics Exploration Through Normal Forms
Nonlinear Dynamics Exploration Through Normal Forms
- ISBN 13:
9780486780450
- ISBN 10:
0486780457
- Edition: Reprint
- Format: Paperback
- Copyright: 08/20/2014
- Publisher: Dover Publications
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Summary
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.