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arXiv · 1802.02858

Non-resonant tori in symplectic twist maps without conjugate points

Marc Arcostanzo
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Abstract

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.

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Marc Arcostanzo. 2018-02-08. Non-resonant tori in symplectic twist maps without conjugate points. https://arxiv.org/abs/1802.02858

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