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. 
@article{BUMI_1998_8_1B_3_a3,
     author = {Bolotin, S. V. and Rabinowitz, P. H.},
     title = {A variational construction of chaotic trajectories for a {Hamiltonian} system on a torus},
     journal = {Bollettino della Unione matematica italiana},
     pages = {541--570},
     publisher = {mathdoc},
     volume = {Ser. 8, 1B},
     number = {3},
     year = {1998},
     zbl = {0957.70020},
     mrnumber = {MR1662325},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_1998_8_1B_3_a3/}
}
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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/