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Closed form integration of a hyperelliptic oscillator

Ritelli, Daniele ; Mingari Scarpello, Giovanni (2012) Closed form integration of a hyperelliptic oscillator. Meccanica, 47 (4). pp. 857-862. ISSN 0025-6455

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Official URL: http://www.springer.com/physics/classical+continuum+physics/journal/11012

Abstract

A known one-dimensional, undamped, anharmonic oscillator whose restoring force is an odd polynomial function of displacement, is solved exactly via the Gauss and Appell hypergeometric functions, revealing a new fully integrable nonlinear system. The closed form relationship linking the period T to the initial motion amplitude a can then play as a benchmark to all the approximate values of literature.

Document type:Article
Uncontrolled Keywords:Nonlinear oscillator, Hypergeometric functions, Duffing-type equation
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/05 Analisi matematica
Area 01 - Scienze matematiche e informatiche > MAT/07 Fisica matematica
ISSN:0025-6455
DOI:10.1007/s.11012-011-9544-8
Depositato da:Daniele Ritelli
Depositato il:26 Mar 2012 10:10
Last modified:26 Mar 2012 10:10

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