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  E-mail Message: I thought you might be interested in this item at http://www.worldcat.org/oclc/883663942 Title: Nonlinear dynamics : exploration through normal forms Author: Peter B Kahn; Yair Zarmi Publisher: Mineola, New York : Dover Publications, Inc., [2014] ©2014 ISBN/ISSN: 9780486795027 0486795020 OCLC:883663942

  
  

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Nonlinear dynamics : exploration through normal forms

Author:	Peter B Kahn; Yair Zarmi
Publisher:	Mineola, New York : Dover Publications, Inc., [2014] ©2014
Series:	Wiley series in nonlinear science.
Edition/Format:	eBook : Document : English : Dover editionView all editions and formats
Summary:	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.  Read more...
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Subjects	Dynamics. Nonlinear theories. Normal forms (Mathematics) View all subjects
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