Gentile, Guido A proof of existence of whiskered tori with quasi flat homoclinic intersections in a class of almost integrable Hamiltonian systems. (English) Zbl 0841.58038 Forum Math. 7, No. 6, 709-753 (1995). In this paper a “rotator-pendulum model” is considered, i.e. a family of rotators interacting with a pendulum via a conservative force. The model is described by an \(\ell\) degrees of freedom perturbed Hamiltonian \(H_0 + \mu f\). For \(\mu = 0\) the model admits \((\ell - 1)\) dimensional invariant tori which possess homoclinic stable and unstable manifolds called “whiskers”. Here a new direct proof is given for the existence of the tori and their whiskers in the perturbed \((\mu \neq 0)\) case. Reviewer: M.Farkas (Budapest) Cited in 6 Documents MSC: 37C75 Stability theory for smooth dynamical systems 34D10 Perturbations of ordinary differential equations Keywords:whiskered tori; quasi flat homoclinic intersections; almost integrable Hamiltonian systems; existence PDF BibTeX XML Cite \textit{G. Gentile}, Forum Math. 7, No. 6, 709--753 (1995; Zbl 0841.58038) Full Text: DOI EuDML OpenURL