This article is cited in 2 scientific papers (total in 2 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
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.
homoclinic and heteroclinic orbit, bifurcation, strange attractor, saddle-focus.
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MSC: 37C05, 37C29, 37G25, 37G35
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
\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.
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This publication is cited in the following articles:
Gonchenko S.V., Ovsyannikov I.I., Tatjer J.C., “Birth of Discrete Lorenz Attractors At the Bifurcations of 3D Maps With Homoclinic Tangencies to Saddle Points”, Regul. Chaotic Dyn., 19:4 (2014), 495–505
S. V. Gonchenko, D. V. Turaev, “On three types of dynamics and the notion of attractor”, Proc. Steklov Inst. Math., 297 (2017), 116–137
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