A variational construction of chaotic trajectories for a Hamiltonian system on a torus
Bolotin, S. V. ; Rabinowitz, P. H.
Bollettino dell'Unione Matematica Italiana, Tome 1-A (1998), p. 541-570 / Harvested from Biblioteca Digitale Italiana di Matematica
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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.

Publié le : 1998-10-01
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     author = {S. V. Bolotin and P. H. Rabinowitz},
     title = {A variational construction of chaotic trajectories for a Hamiltonian system on a torus},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {1-A},
     year = {1998},
     pages = {541-570},
     zbl = {0957.70020},
     mrnumber = {1662325},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_1998_8_1B_3_541_0}
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Bolotin, S. V.; Rabinowitz, P. H. A variational construction of chaotic trajectories for a Hamiltonian system on a torus. Bollettino dell'Unione Matematica Italiana, Tome 1-A (1998) pp. 541-570. http://gdmltest.u-ga.fr/item/BUMI_1998_8_1B_3_541_0/

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