Persistence of the non-twist torus in nearly integrable hamiltonian systems

Xu, Junxiang; You, Jiangong

doi:10.1090/S0002-9939-10-10151-8

Persistence of the non-twist torus in nearly integrable hamiltonian systems
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by Junxiang Xu and Jiangong You PDF

Proc. Amer. Math. Soc. 138 (2010), 2385-2395 Request permission

Abstract:

In this paper we consider analytic nearly integrable hamiltonian systems, and prove that if the frequency mapping has nonzero Brouwer topological degree at some Diophantine frequency, then the invariant torus with this frequency persists under small perturbations.

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