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arXiv · 1501.00759

Instability of resonant invariant tori in Hamiltonian systems

Abed Bounemoura
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Abstract

In this article, we consider the dynamics in a neighborhood of a quasi-periodic torus which is invariant by a Hamiltonian flow, we discuss several notions of stability and we prove several results of instability when the frequency of the invariant torus is resonant.

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Abed Bounemoura. 2015-01-05. Instability of resonant invariant tori in Hamiltonian systems. https://arxiv.org/abs/1501.00759

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