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ERIC Number: EJ882151
Record Type: Journal
Publication Date: 2010-Jan
Pages: 13
Abstractor: As Provided
Reference Count: 7
ISBN: N/A
ISSN: ISSN-0020-739X
A Quadratic Spring Equation
Fay, Temple H.
International Journal of Mathematical Education in Science and Technology, v41 n1 p79-91 Jan 2010
Through numerical investigations, we study examples of the forced quadratic spring equation [image omitted]. By performing trial-and-error numerical experiments, we demonstrate the existence of stability boundaries in the phase plane indicating initial conditions yielding bounded solutions, investigate the resonance boundary in the [omega] "F"-plane for fixed [epsilon], examine harmonic and subharmonic trajectories and van der Pol plane analysis. All these invite further numerical and analytic investigations suitable for student or small group computer laboratory research problems. (Contains 11 figures.)
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A