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Regular and Chaotic Dynamics, 2010, Volume 15, Issue 4-5, Pages 462–481
DOI: https://doi.org/10.1134/S1560354710040052 (Mi rcd510) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On the 60th birthday of professor V.V. Kozlov

On a homoclinic origin of Hénon-like maps

S. V. Gonchenko, V. S. Gonchenko, L. P. Shilnikov

Research Institute of Applied Mathematics and Cybernetics, Nizhny Novgorod State University, Russia
Citations (15)
DOI: https://doi.org/10.1134/S1560354710040052
Abstract: We review bifurcations of homoclinic tangencies leading to Hénon-like maps of various kinds.
Keywords: homoclinic tangency, Hénon-like maps, saddle-focus fixed point, wild-hyperbolic attractor.
Received: 17.12.2009
Accepted: 15.01.2010
Bibliographic databases:
Document Type: Personalia
MSC: 37C29, 37G25, 37D45
Language: English
Citation: S. V. Gonchenko, V. S. Gonchenko, L. P. Shilnikov, “On a homoclinic origin of Hénon-like maps”, Regul. Chaotic Dyn., 15:4-5 (2010), 462–481
Citation in format AMSBIB
\Bibitem{GonGonShi10}
\by S. V. Gonchenko, V. S. Gonchenko, L. P. Shilnikov
\paper On a homoclinic origin of Hénon-like maps
\jour Regul. Chaotic Dyn.
\yr 2010
\vol 15
\issue 4-5
\pages 462--481
\mathnet{http://mi.mathnet.ru/rcd510}
\crossref{https://doi.org/10.1134/S1560354710040052}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2679759}
\zmath{https://zbmath.org/?q=an:1203.37035}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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