Exploració per tema "Melnikov potential"
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Homoclinic billiard orbits inside symmetrically perturbed ellipsoids
(2000)
Article
Accés obertThe billiard motion inside an ellipsoid of ${\bf R}^{3}$ is completely integrable. If the ellipsoid is not of revolution, there are many orbits bi-asymptotic to its major axis. The set of bi-asymptotic orbits is described ... -
Homoclinic orbits to invariant tori near a homoclinic orbit to center-center-saddle equilibrium
(2003)
Article
Accés obertWe consider a perturbation of an integrable Hamiltonian vector field with three degrees of freedom with a center–center–saddle equilibrium having a homoclinic orbit or loop. With the help of a Poincaré map (chosen based ... -
Splitting potential and Poincaré-Melnikov method for whiskered tori in Hamiltonian Systems
(1999)
Article
Accés obertWe deal with a perturbation of a hyperbolic integrable Hamiltonian system with n+1 degrees of freedom. The integrable system is assumed to have n-dimensional hyperbolic invariant tori with coincident whiskers (separatric ...