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23 p, 2.2 MB Numerical continuation of families of heteroclinic connections between periodic orbits in a Hamiltonian system / Barrabés Vera, Esther (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ; Mondelo González, José María (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ollé, Merce (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)
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. [...]
2013 - 10.1088/0951-7715/26/10/2747
Nonlinearity, Vol. 26 (2013) , p. 2747-2765  
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