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[null,"1.","Record Nr.",null,"UNINA9910455861403321"]
[null,null,"Autore",null,"Mickens Ronald E. <1943->"]
[null,null,"Titolo",null,"Truly nonlinear oscillations [[electronic resource] ] : harmonic balance, parameter expansions, iteration, and averaging methods / / Ronald E. Mickens"]
[null,null,"Pubbl/distr/stampa",null,"Singapore ; ; Hackensack, NJ, : World Scientific, c2010"]
[null,null,"ISBN",null,"1-282-76190-0"]
[{"$nulls":4},"9786612761904"]
[{"$nulls":4},"981-4291-66-8"]
[null,null,"Descrizione fisica",null,"1 online resource (260 p.)"]
[null,null,"Disciplina",null,"511/.4"]
[null,null,"Soggetti",null,"Approximation theory"]
[{"$nulls":4},"Nonlinear oscillations"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Preface; 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"]
[{"$nulls":4},"Appendix H Discrete Models of Two TNL OscillatorsBibliography; Index"]
[null,null,null,"Sommario/riassunto","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 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"]