Geodesic
On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 1, pp. 61-77

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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, strange attractor, saddle-focus.
Mots-clés : bifurcation 
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     title = {On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci},
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S. V. Gonchenko; I. I. Ovsyannikov. On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 1, pp. 61-77. http://geodesic.mathdoc.fr/item/ND_2010_6_1_a3/