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

    2010, Vol. 6, No. 1, pp.  61-77

    Author(s): Gonchenko S. V., Ovsyannikov I. I.

    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
    Citation: Gonchenko S. V., Ovsyannikov I. I., On bifurcations of three-dimensional diffeomorphisms with a non-transversal heteroclinic cycle containing saddle-foci, Rus. J. Nonlin. Dyn., 2010, Vol. 6, No. 1, pp.  61-77
    DOI:10.20537/nd1001005


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