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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 |