Truly nonlinear oscillations: harmonic balance, parameter expansions, iteration, and averaging methods
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 a...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2010
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | 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 direct comparison to be made among the various methods. The book is self-contained and therefore suitable for both classroom use and self-study by students and professionals who desire to learn, understand, and apply these technique to the field of nonlinear oscillations |
| Beschreibung: | xxi, 238 p. ill |
| ISBN: | 9789814291668 |
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| id | DE-604.BV044637943 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:52Z |
| institution | BVB |
| isbn | 9789814291668 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030035915 |
| oclc_num | 838371268 |
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| physical | xxi, 238 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Mickens, Ronald E. 1943- Verfasser aut Truly nonlinear oscillations harmonic balance, parameter expansions, iteration, and averaging methods Ronald E. Mickens Singapore World Scientific Pub. Co. c2010 xxi, 238 p. ill txt rdacontent c rdamedia cr rdacarrier 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 direct comparison to be made among the various methods. The book is self-contained and therefore suitable for both classroom use and self-study by students and professionals who desire to learn, understand, and apply these technique to the field of nonlinear oscillations Approximation theory Nonlinear oscillations Erscheint auch als Druck-Ausgabe 9789814291651 (hbk.) Erscheint auch als Druck-Ausgabe 981429165X (hbk.) http://www.worldscientific.com/worldscibooks/10.1142/7561#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Mickens, Ronald E. 1943- Truly nonlinear oscillations harmonic balance, parameter expansions, iteration, and averaging methods Approximation theory Nonlinear oscillations |
| title | Truly nonlinear oscillations harmonic balance, parameter expansions, iteration, and averaging methods |
| title_auth | Truly nonlinear oscillations harmonic balance, parameter expansions, iteration, and averaging methods |
| title_exact_search | Truly nonlinear oscillations harmonic balance, parameter expansions, iteration, and averaging methods |
| title_full | Truly nonlinear oscillations harmonic balance, parameter expansions, iteration, and averaging methods Ronald E. Mickens |
| title_fullStr | Truly nonlinear oscillations harmonic balance, parameter expansions, iteration, and averaging methods Ronald E. Mickens |
| title_full_unstemmed | Truly nonlinear oscillations harmonic balance, parameter expansions, iteration, and averaging methods Ronald E. Mickens |
| title_short | Truly nonlinear oscillations |
| title_sort | truly nonlinear oscillations harmonic balance parameter expansions iteration and averaging methods |
| title_sub | harmonic balance, parameter expansions, iteration, and averaging methods |
| topic | Approximation theory Nonlinear oscillations |
| topic_facet | Approximation theory Nonlinear oscillations |
| url | http://www.worldscientific.com/worldscibooks/10.1142/7561#t=toc |
| work_keys_str_mv | AT mickensronalde trulynonlinearoscillationsharmonicbalanceparameterexpansionsiterationandaveragingmethods |