Effective stability for slow time-dependent near-integrable Hamiltonians and application

Abed Bounemoura

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arXiv · 1303.5045

Effective stability for slow time-dependent near-integrable Hamiltonians and application

Abed Bounemoura

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Abstract

The aim of this note is to prove a result of effective stability for a non-autonomous perturbation of an integrable Hamiltonian system, provided that the perturbation depends slowly on time. Then we use this result to clarify and extend a stability result of Giorgilli and Zehnder for a mechanical system with an arbitrary time-dependent potential.

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Abed Bounemoura. 2013-03-20. Effective stability for slow time-dependent near-integrable Hamiltonians and application. https://arxiv.org/abs/1303.5045

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