Nonlinear Dynamics (Exploration Through Normal Forms)
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Product Details
Author:
Peter B. Kahn, Yair Zarmi
Format:
Paperback
Pages:
416
Publisher:
Dover Publications (August 20, 2014)
Language:
English
ISBN-13:
9780486780450
ISBN-10:
0486780457
Weight:
19.44oz
Dimensions:
6" x 9"
Case Pack:
20
Series:
Dover Books on Physics
File:
Dover-Dover_08042026_P10435224_onix30_Complete-20260803.xml
Folder:
Dover
As low as:
$23.70
List Price:
$24.95
Publisher Identifier:
P-DOVER
Discount Code:
D
Audience:
General/trade
Pub Discount:
65
Imprint:
Dover Publications
Overview
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.
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.
