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Regular and Chaotic Dynamics, 2012, Volume 17, Issue 5, Pages 417–430
DOI: https://doi.org/10.1134/S1560354712050048 (Mi rcd412) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A Simple Reconnecting Map

James E. Howarda, Albert D. Morozovb

a Laboratory for Atmospheric and Space Physics, University of Colorado, Boulder, CO 80309 USA
b Nizhny Novgorod State University, Department of Mathematics and Mechanics, ul. Gagarina 23, Nizhny Novgorod, 603950 Russia
Citations (5)
DOI: https://doi.org/10.1134/S1560354712050048
Abstract: Generalized standard maps of the cylinder for which the rotation number is a rational function (a combination of the Fermi and Chirikov rotation functions) are considered. These symplectic maps often have degenerate resonant zones, and we establish two types resonance bifurcations: "loops" and "vortex pairs". Both the border of chaos and the existence of the chaotic web are discussed. Finally the transition to global chaos for a generalized map is considered.
Keywords: periodic points, degenerate resonances, vortex pairs, chaos.
Funding agency
AM has been partially supported by FCP “Cadres”, No 14.B37.21.0361.
Received: 20.02.2012
Accepted: 03.09.2012
Bibliographic databases:
Document Type: Article
MSC: 34C35
Language: English
Citation: James E. Howard, Albert D. Morozov, “A Simple Reconnecting Map”, Regul. Chaotic Dyn., 17:5 (2012), 417–430
Citation in format AMSBIB
\Bibitem{HowMor12}
\by James E. Howard, Albert D. Morozov
\paper A Simple Reconnecting Map
\jour Regul. Chaotic Dyn.
\yr 2012
\vol 17
\issue 5
\pages 417--430
\mathnet{http://mi.mathnet.ru/rcd412}
\crossref{https://doi.org/10.1134/S1560354712050048}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2989514}
\zmath{https://zbmath.org/?q=an:1279.37021}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012RCD....17..417H}
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  • https://www.mathnet.ru/eng/rcd/v17/i5/p417
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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