A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of T<sup>2</sup>

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Delshams Valdés, Amadeu
dc.contributor.author	Llave Canosa, Rafael de la
dc.contributor.author	Martínez-Seara Alonso, M. Teresa
dc.date	1999
dc.identifier.uri	http://hdl.handle.net/2117/1190
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Hamiltonian systems
dc.subject	Differential geometry
dc.subject	orbits
dc.subject	periodic perturbations
dc.subject	Hamilton, Sistemes de
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
dc.subject	Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
dc.title	A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of T<sup>2</sup>
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We give a proof based in geometric perturbation theory of a result proved by J.N. Mather using variational methods. Namely, the existence of orbits with unbounded energy in perturbations of a generic geodesic flow in T^2 by a generic periodic potential.