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arxiv: 1802.02858 · v1 · pith:ARZSPNPXnew · submitted 2018-02-08 · 🧮 math.DS

Non-resonant tori in symplectic twist maps without conjugate points

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keywords twistconjugatelagrangiannon-resonantpointssymplectictoriwithout
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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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