Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 1, Pages 61–77 (Mi nd56)  

This article is cited in 5 scientific papers (total in 5 papers)

On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci

S. V. Gonchenko, I. I. Ovsyannikov

Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
References:
Abstract: We study bifurcations of of three-dimensional diffeomorphisms with non-transversal heteroclinic cycles which lead to the birth of wild hyperbolic Lorenz-like attractors. As known, such attractors can be appeared under small periodic perturbations of the classical Lorenz attractor and they allow homoclinic tangencies, however, do not contain stable periodic orbits.
Keywords: homoclinic and heteroclinic orbit, bifurcation, strange attractor, saddle-focus.
Received: 23.11.2009
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. V. Gonchenko, I. I. Ovsyannikov, “On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci”, Nelin. Dinam., 6:1 (2010), 61–77
Citation in format AMSBIB
\Bibitem{GonOvs10}
\by S.~V.~Gonchenko, I.~I.~Ovsyannikov
\paper On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci
\jour Nelin. Dinam.
\yr 2010
\vol 6
\issue 1
\pages 61--77
\mathnet{http://mi.mathnet.ru/nd56}
\elib{https://elibrary.ru/item.asp?id=13411468}
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  • https://www.mathnet.ru/eng/nd/v6/i1/p61
  • 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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