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This article is cited in 8 scientific papers (total in 8 papers)
Normal Form and Nekhoroshev Stability for Nearly Integrable
Hamiltonian Systems with Unconditionally Slow Aperiodic
Time Dependence
Alessandro Fortunati, Stephen Wiggins School of Mathematics, University of Bristol,
Bristol BS8 1TW, United Kingdom
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.
Keywords:
Hamiltonian systems, Nekhoroshev theorem, aperiodic time dependence.
Received: 12.12.2013 Accepted: 11.03.2014
Citation:
Alessandro Fortunati, Stephen Wiggins, “Normal Form and Nekhoroshev Stability for Nearly Integrable
Hamiltonian Systems with Unconditionally Slow Aperiodic
Time Dependence”, Regul. Chaotic Dyn., 19:3 (2014), 363–373
Linking options:
https://www.mathnet.ru/eng/rcd160 https://www.mathnet.ru/eng/rcd/v19/i3/p363
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Abstract page: | 188 | References: | 38 |
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