Higher order approximation of the period-energy function for single degree of freedom Hamiltonian Systems

Foschi , Silvia ; Mingari Scarpello, Giovanni ; Ritelli, Daniele (2004) Higher order approximation of the period-energy function for single degree of freedom Hamiltonian Systems. Meccanica, 39 (4). pp. 357-368. ISSN 1572-9648
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Abstract

In 1985 Franz Rothe [16] found, by means of the thermodynamical equilibrium theory, an asymptotic estimate of period of solutions of Ordinary Differential Equations originated by predator - prey Volterra – Lotka model. We extend some of Rothe’s ideas to more general systems and succeed in calculating the period’s asymptotic analytic expression as a function of the energy level. We finally check our result reobtaining classical period’s estimation of some popular Hamiltonian systems. We apply our technique also to a nonlinear Hamiltonian system whose period is not available in the literature.

Abstract
Document type
Article
Creators
CreatorsAffiliationORCID
Foschi , Silvia
Mingari Scarpello, Giovanni
Ritelli, Daniele
Keywords
Hamiltonian systems, series reversion, period, asymptotic expansion
Subjects
ISSN
1572-9648
DOI
Deposit date
14 Sep 2011 13:56
Last modified
07 Nov 2011 15:24
URI

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