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
Full text available as:
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
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.
Document type
Article
Creators
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
Other metadata
Document type
Article
Creators
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
This work may be freely consulted and used, may be reproduced on a permanent basis in a digital format (i.e. saving) and can be printed on paper with own personal equipment (without availing of third -parties services), for strictly and exclusively personal, research or teaching purposes, with express exclusion of any direct or indirect commercial use, unless otherwise expressly agreed between the user and the author or the right holder. It is also allowed, for the same purposes mentioned above, the retransmission via telecommunication network, the distribution or sending in any form of the work, including the personal redirection (e-mail), provided it is always clearly indicated the complete link to the page of the Alma DL Site in which the work is displayed. All other rights are reserved.
Downloads
Downloads
Staff only:
