visitant ::
identificació
|
|||||||||||||||
Cerca | Lliura | Ajuda | Servei de Biblioteques | Sobre el DDD | Català English Español |
Pàgina inicial > Articles > Articles publicats > Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system |
Data: | 2013 |
Resum: | This paper is devoted to the numerical computation and continuation of families of heteroclinic connections between hyperbolic periodic orbits of a Hamiltonian system. We describe a method that requires the numerical continuation of a nonlinear system that involves the initial conditions of the two periodic orbits, the linear approximations of the corresponding manifolds and a point in a given Poincaré section where the unstable and stable manifolds match. The method is applied to compute families of heteroclinic orbits between planar Lyapunov periodic orbits around the collinear equilibrium points of the Restricted Three-Body Problem in different scenarios. In one of them, for the Sun-Jupiter mass parameter, we provide ranges of energy for which the transition between different resonances is possible. |
Ajuts: | Ministerio de Ciencia y Tecnología MTM2006-05849 Ministerio de Ciencia y Tecnología MTM2010-16425 Ministerio de Ciencia y Tecnología MTM2011-26995-C02-01 Ministerio de Ciencia y Tecnología MTM2009-06973 Ministerio de Ciencia y Tecnología MTM2012-31714 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-859 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Publicat a: | Nonlinearity, Vol. 26 (2013) , p. 2747-2765, ISSN 1361-6544 |
Postprint 23 p, 2.2 MB |