LEADER 03012nam  2200601 a 450 
001 9910455861403321
005 20200520144314.0
010   $a1-282-76190-0
010   $a9786612761904
010   $a981-4291-66-8
035   $a(CKB)2490000000001797
035   $a(EBL)731306
035   $a(OCoLC)671655101
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035   $a(PQKBTitleCode)TC0000430115
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035   $a(EXLCZ)992490000000001797
100   $a20091005d2010      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aTruly nonlinear oscillations$b[electronic resource] $eharmonic balance, parameter expansions, iteration, and averaging methods /$fRonald E. Mickens
210   $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2010
215   $a1 online resource (260 p.)
300   $aDescription based upon print version of record.
311   $a981-4291-65-X 
320   $aIncludes bibliographical references and index.
327   $aPreface; Contents; List of Figures; List of Tables; 1. Background and General Comments; 2. Establishing Periodicity; 3. Harmonic Balance; 4. Parameter Expansions; 5. Iteration Methods; 6. Averaging Methods; 7. 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-Poincar ?e Perturbation Method; Appendix G A Standard Averaging Method
327   $aAppendix H Discrete Models of Two TNL OscillatorsBibliography; Index
330   $aThis 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 first-order averaging technique for TNL oscillators. The calculational basis of each method is clarified by applying them to a set of standard TNL oscillator equations. This allows a dire
606   $aApproximation theory
606   $aNonlinear oscillations
608   $aElectronic books.
615  0$aApproximation theory.
615  0$aNonlinear oscillations.
676   $a511/.4
700   $aMickens$b Ronald E.$f1943-$0497093
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910455861403321
996   $aTruly nonlinear oscillations$92287666
997   $aUNINA