arXiv:1802.02858 Abstract | arXiv Analytics

arXiv:1802.02858 [math.DS]Abstract References Reviews Resources

Non-resonant tori in symplectic twist maps without conjugate points

Published 2018-02-08Version 1

We study the dynamics of a symplectic twist map without conjugate points. We show that in a neighborhood of a totally periodic Lagrangian manifold, there exists a large family of invariant Lagrangian tori on which the twist map is conjugated to a translation of non-resonant vector.

Categories: math.DS

Keywords: symplectic twist map, conjugate points, non-resonant tori, invariant lagrangian tori, totally periodic lagrangian manifold

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