Geodesic
A variational construction of chaotic trajectories for a Hamiltonian system on a torus
Bollettino della Unione matematica italiana, Série 8, 1B (1998) no. 3, pp. 541-570.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

A geometric criterion for the existence of chaotic trajectories of a Hamiltonian system with two degrees of freedom and the configuration space a torus is given. As an application, positive topological entropy is established for a double pendulum problem. 
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Bolotin, S. V.; Rabinowitz, P. H. A variational construction of chaotic trajectories for a Hamiltonian system on a torus. Bollettino della Unione matematica italiana, Série 8, 1B (1998) no. 3, pp. 541-570. http://geodesic.mathdoc.fr/item/BUMI_1998_8_1B_3_a3/

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