Displaying similar documents to “Variational construction of connecting orbits”

Connecting orbits of time dependent Lagrangian systems

Patrick Bernard (2002)

Annales de l’institut Fourier

Similarity:

We generalize to higher dimension results of Birkhoff and Mather on the existence of orbits wandering in regions of instability of twist maps. This generalization is strongly inspired by the one proposed by Mather. However, its advantage is that it contains most of the results of Birkhoff and Mather on twist maps.

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

Similarity:

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.