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Truly nonlinear oscillations : harmonic balance, parameter expansions, iteration, and averaging methods

Author: Ronald E Mickens
Publisher: Singapore ; Hackensack, NJ : World Scientific, ©2010.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of "truly nonlinear" (TNL) oscillator equations. The volume gives a general overview of the author's work on harmonic balance, iteration and combined linearization-averaging methods. However, full discussions are also presented on parameter expansion procedures and a  Read more...
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Document Type: Book
All Authors / Contributors: Ronald E Mickens
ISBN: 9789814291651 981429165X
OCLC Number: 452273144
Description: xxi, 238 pages : illustrations ; 24 cm
Contents: Background and general comments --
Establishing periodicity --
Harmonic balance --
Parameter expansions --
Iteration methods --
Averaging methods --
Comparative analysis --
Appendix A : Mathematical relations --
Appendix B : Gamma and Beta Functions --
Appendix C : Fourier series --
Appendix D : Basic theorems of the theory of second-order differential equations --
Appendix E : Linear second-order differential equations --
Appendix F : Lindstedt-Poincaré perturbation method --
Appendix G : A standard averaging method --
Appendix H : Discrete models of two TNL Oscillators.
Responsibility: Ronald E. Mickens.

Abstract:

Provides a presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of truly nonlinear (TNL) oscillator equations. This volume gives a general  Read more...

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The book is self-contained and suitable for both classroom use and self-study The author has definitely succeeded in presenting a readable book useful to students and professionals who are concerned Read more...

 
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