Homoclinic orbits to parabolic points
Copyright policy )Homoclinic orbits to parabolic points
This paper concerns non-Hamiltonian perturbations of Hamiltonian systems. Using Poincaré-Melnikov method, orbits which are homoclinic to degenerate periodic orbits of parabolic type are studied, specially the existence of transversal homoclinic points. The method used in this paper is related to a work of \textit{E. Fontich} in 1994, together with different estimates developed here. An interesting concrete example with numerical computations is included.
- University of Barcelona Spain
- University of Lisbon Portugal
Hamilton's equations, Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion, existence of transversal homoclinic points, degenrate periodic orbits, non-Hamiltonian perturbations, Poincaré-Melnikov method, transversality
Hamilton's equations, Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion, existence of transversal homoclinic points, degenrate periodic orbits, non-Hamiltonian perturbations, Poincaré-Melnikov method, transversality
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