Connecting orbits for families of Tonelli Hamiltonians

Details Connecting orbits for families of Tonelli Hamiltonians Connecting orbits for families of Tonelli Hamiltonians

2011-07-23

arxiv.org/abs/1107.4678v1

Mathematics

Dynamical Systems

42 pages

Scientific paper

We investigate the existence of Arnold diffusion-type orbits for systems obtained by iterating in any order the flows of a family of Tonelli Hamiltonians. Our approach is close to the one of Bernard in [3]. When specialized to families of twist maps, our results are similar to those of Moeckel [20] and Le Calvez [15], and generalize the connecting results of Mather for a single twist map in [18].

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