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