Displaying similar documents to “Connecting orbits of time dependent Lagrangian systems”

A variational construction of chaotic trajectories for a Hamiltonian system on a torus

S. V. Bolotin, P. H. Rabinowitz (1998)

Bollettino dell'Unione Matematica Italiana

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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.