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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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.

Abstract
Document type
Article
Creators
CreatorsAffiliationORCID
Ritelli, Daniele
Mingari Scarpello, Giovanni
Keywords
Nonlinear oscillator, Hypergeometric functions, Duffing-type equation
Subjects
ISSN
0025-6455
DOI
Deposit date
26 Mar 2012 08:10
Last modified
26 Mar 2012 08:10
URI

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