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Connecting orbits of time dependent Lagrangian systems

Patrick Bernard
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Abstract

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 already proposed by Mather. However, its advantage is that it really contains most of the results of Birkhoff and Mather on twist maps.

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Patrick Bernard. 2001-11-21. Connecting orbits of time dependent Lagrangian systems. https://arxiv.org/abs/math/0111234

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