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Regular and Chaotic Dynamics, 1998, Volume 3, Issue 3, Pages 180–195
DOI: https://doi.org/10.1070/RD1998v003n03ABEH000088 (Mi rcd956) 		 
This article is cited in 76 scientific papers (total in 76 papers)

On the 70th birthday of J.Moser

Invariant curves of analytic perturbed nontwist area preserving maps

C. Simó

Departament de Matemàtica ApHcada i Anàlisi, Universitat de Barcelona, Gran Via 585, 08007 Barcelona. Spain
Full-text PDF Citations (76)
DOI: https://doi.org/10.1070/RD1998v003n03ABEH000088
Abstract: Area preserving maps close to integrable but not satisfying the twist condition are studied. The existence of invariant curves is proved, but they are no longer graphs with respect to the angular variable. Beyond the generic, codimension 1 case, several higher codimension cases are studied. Meandering curves, higher order meandering and labyrinthic curves show up. Several examples illustrate that this behavior occurs in very simple families of maps.
Received: 05.10.1998
Bibliographic databases:
Document Type: Article
MSC: 58F08, 58F30
Language: English
Citation: C. Simó, “Invariant curves of analytic perturbed nontwist area preserving maps”, Regul. Chaotic Dyn., 3:3 (1998), 180–195
Citation in format AMSBIB
\Bibitem{Sim98}
\by C. Sim\'o
\paper Invariant curves of analytic perturbed nontwist area preserving maps
\jour Regul. Chaotic Dyn.
\yr 1998
\vol 3
\issue 3
\pages 180--195
\mathnet{http://mi.mathnet.ru/rcd956}
\crossref{https://doi.org/10.1070/RD1998v003n03ABEH000088}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1704977}
\zmath{https://zbmath.org/?q=an:0932.37048}
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    • This publication is cited in the following 76 articles:
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