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Normal form and Nekhoroshev stability for nearly integrable hamiltonian systems with unconditionally slow aperiodic time dependence

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Abstract

The aim of this paper is to extend the result of Giorgilli and Zehnder for aperiodic time dependent systems to a case of nearly integrable convex analytic Hamiltonians. The existence of a normal form and then a stability result are shown in the case of a slow aperiodic time dependence that, under some smallness conditions, is independent of the size of the perturbation.

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  1. School of Mathematics, University of Bristol, Bristol, BS8 1TW, UK

    Alessandro Fortunati & Stephen Wiggins

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  1. Alessandro Fortunati
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  2. Stephen Wiggins
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Correspondence to Alessandro Fortunati.

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Fortunati, A., Wiggins, S. Normal form and Nekhoroshev stability for nearly integrable hamiltonian systems with unconditionally slow aperiodic time dependence. Regul. Chaot. Dyn. 19, 363–373 (2014). https://doi.org/10.1134/S1560354714030071

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