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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URL ufficiale: 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.

Abstract

Tipologia del documento

Articolo

Autori

Autore	Affiliazione	ORCID
Ritelli, Daniele
Mingari Scarpello, Giovanni

Parole chiave

Nonlinear oscillator, Hypergeometric functions, Duffing-type equation

Settori scientifico-disciplinari

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

Data di deposito

26 Mar 2012 08:10

Ultima modifica

26 Mar 2012 08:10

URI

https://amsacta.unibo.it/id/eprint/3250

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Closed form integration of a hyperelliptic oscillator

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