Persistence of homoclinic orbits for billiards and twist maps
Open Access
- 2 April 2004
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 17 (4) , 1153-1177
Abstract
No abstract availableKeywords
This publication has 18 references indexed in Scilit:
- Homoclinic billiard orbits inside symmetrically perturbed ellipsoidsNonlinearity, 2001
- Symbolic dynamics near minimal hyperbolic invariant tori of Lagrangian systemsNonlinearity, 2001
- Homoclinic points and intersections of Lagrangian submanifoldDiscrete and Continuous Dynamical Systems, 2000
- Calcul d'une fonction de Melnikov et de ses zeros pour une perturbation algebrique du billard elliptiqueErgodic Theory and Dynamical Systems, 1997
- Poincaré - Melnikov - Arnold method for analytic planar mapsNonlinearity, 1996
- Classical billiards in magnetic fieldsJournal of Physics A: General Physics, 1985
- Bifurcations and Hamilton's principleMathematische Zeitschrift, 1978
- Transversal Homoclinic Orbits in an Integrable SystemAmerican Journal of Mathematics, 1978
- Kritische Mannigfaltigkeiten in HilbertmannigfaltigkeitenMathematische Annalen, 1967
- Nondegenerate Critical ManifoldsAnnals of Mathematics, 1954