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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 1, Pages 61–77
(Mi nd56)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/nd56 https://www.mathnet.ru/eng/nd/v6/i1/p61
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Abstract page: | 465 | Full-text PDF : | 102 | References: | 51 | First page: | 1 |
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