Truly nonlinear oscillations [[electronic resource] ] : harmonic balance, parameter expansions, iteration, and averaging methods / / Ronald E. Mickens
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| Autore: |
Mickens Ronald E. <1943->
|
| Titolo: |
Truly nonlinear oscillations [[electronic resource] ] : harmonic balance, parameter expansions, iteration, and averaging methods / / Ronald E. Mickens
|
| Pubblicazione: | Singapore ; ; Hackensack, NJ, : World Scientific, c2010 |
| Descrizione fisica: | 1 online resource (260 p.) |
| Disciplina: | 511/.4 |
| Soggetto topico: | Approximation theory |
| Nonlinear oscillations | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 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 | |
| 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 |
| Titolo autorizzato: | Truly nonlinear oscillations |
| ISBN: | 1-282-76190-0 |
| 9786612761904 | |
| 981-4291-66-8 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910455861403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |