A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of \(\mathbb{T}^2\)
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Publication:1971563
DOI10.1007/PL00020961zbMath0952.70015OpenAlexW2061251427MaRDI QIDQ1971563
Amadeu Delshams, Rafael de la Llave, Teresa M. Seara
Publication date: 11 May 2000
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/pl00020961
periodic orbitsEuler-Lagrange equationsRiemannian geometrygeodesic flowLagrangianKAM theoryMelnikov integralsHamiltonian perturbationsPoincaré functionArnold's diffusiongeneric metricgeometric perturbationshyperbolicity theory of invariant manifoldsMather variational methodsorbits with unbounded energy
Dynamical systems in classical and celestial mechanics (37N05) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)
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