Connecting orbits of time dependent Lagrangian systems

Mathematics – Dynamical Systems

Scientific paper

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Scientific paper

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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