Literaturnachweis - Detailanzeige
Autor/in | Fay, Temple H. |
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Titel | Nonlinear Resonance and Duffing's Spring Equation |
Quelle | In: International Journal of Mathematical Education in Science & Technology, 37 (2006) 5, S.593-599 (7 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0020-739X |
Schlagwörter | Student Research; Computer Uses in Education; Equations (Mathematics); Mathematics Instruction; Problem Solving; Calculus; Science and Society; Computer Software; Teaching Methods |
Abstract | This note discusses the boundary in the frequency--amplitude plane for boundedness of solutions to the forced spring Duffing type equation. For fixed initial conditions and fixed parameter [epsilon] results are reported of a systematic numerical investigation on the global stability of solutions to the initial value problem as the parameters F and [omega] are allowed to vary. This can be interpreted as varying the forcing amplitude and forcing frequency to a nonlinear spring problem and asking for the threshold between bounded oscillatory responses and unbounded unstable responses. These preliminary results show interesting behaviour, illustrate a low resonance frequency and a higher jump frequency phenomena, and give rise to computer laboratory problems suitable for student research and small group projects. (Contains 3 figures.) (Author). |
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Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |