Comparing the efficiency of numerical techniques for the integration of variational equations

Publikation: Beitrag in FachzeitschriftKonferenzartikelBeigetragenBegutachtung

Beitragende

Abstract

We present a comparison of different numerical techniques for the integration of variational equations. The methods presented can be applied to any autonomous Hamiltonian system whose kinetic energy is quadratic in the generalized momenta, and whose potential is a function of the generalized positions. We apply the various techniques to the well-known Hénon-Heiles system, and use the Smaller Alignment Index (SALI) method of chaos detection to evaluate the percentage of its chaotic orbits. The accuracy and the speed of the integration schemes in evaluating this percentage are used to investigate the numerical efficiency of the various techniques.

Details

OriginalspracheEnglisch
Seiten (von - bis)475-484
Seitenumfang10
FachzeitschriftDiscrete and continuous dynamical systems : DCDS Series A
Jahrgang2011
AusgabenummerSuppl
PublikationsstatusVeröffentlicht - Sept. 2011
Peer-Review-StatusJa

Externe IDs

Scopus 84878202014
ORCID /0000-0002-9533-2168/work/168205398

Schlagworte

Schlagwörter

  • Chaos, Hénon-Heiles system, SALI method, Variational equations