Acta Mathematica Vietnamica

2013, Volume 38, Issue 1, pp 107-122

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Smooth normal forms for integrable Hamiltonian systems near a focus–focus singularity
 San Vũ Ngọc, Christophe Wacheux

Abstract

We prove that completely integrable systems are normalizable in the C ∞ category near a focus–focus singularity

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