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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 3, Pages 363–373
DOI: https://doi.org/10.1134/S1560354714030071 (Mi rcd160) 		 
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
Citations (8)
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DOI: https://doi.org/10.1134/S1560354714030071
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.
Funding agency Grant number
Office of Naval Research N00014-01-1-0769
Ministerio de Economía y Competitividad de España SEV-2011-0087
This research was supported by ONR Grant No. N00014-01-1-0769 and MINECO: ICMAT Severo Ochoa project SEV-2011-0087.
Received: 12.12.2013
Accepted: 11.03.2014
Bibliographic databases:
Document Type: Article
MSC: 70H08, 37J25, 37J40
Language: English
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
Citation in format AMSBIB
\Bibitem{ForWig14}
\by Alessandro~Fortunati, Stephen~Wiggins
\paper Normal Form and Nekhoroshev Stability for Nearly Integrable
Hamiltonian Systems with Unconditionally Slow Aperiodic
Time Dependence
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 3
\pages 363--373
\mathnet{http://mi.mathnet.ru/rcd160}
\crossref{https://doi.org/10.1134/S1560354714030071}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3215695}
\zmath{https://zbmath.org/?q=an:1309.70026}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000337051600007}
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  • https://www.mathnet.ru/eng/rcd/v19/i3/p363
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:38
     
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