Bolotin, Rabinowitz: A variational construction of chaotic trajectories for a Hamiltonian system on a torus

Bolotin, S. V. and Rabinowitz, P. H.:
A variational construction of chaotic trajectories for a Hamiltonian system on a torus
Bollettino dell'Unione Matematica Italiana Serie 8 1-B (1998), fasc. n.3, p. 541-570, Unione Matematica Italiana (English)
pdf (394 Kb), djvu (430 Kb). | MR1662325 | Zbl 0957.70020

Sunto

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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