Birth of Discrete Lorenz Attractors at the Bifurcations of 3D Maps with Homoclinic Tangencies to Saddle Points
2014, Volume 19, Number 4, pp. 495-505
Author(s): Gonchenko S. V., Ovsyannikov I. I., Tatjer J. C.
Author(s): Gonchenko S. V., Ovsyannikov I. I., Tatjer J. C.
It was established in [1] that bifurcations of three-dimensional diffeomorphisms with a homoclinic tangency to a saddle-focus fixed point with the Jacobian equal to 1 can lead to Lorenz-like strange attractors. In the present paper we prove an analogous result for three-dimensional diffeomorphisms with a homoclinic tangency to a saddle fixed point with the Jacobian equal to 1, provided the quadratic homoclinic tangency under consideration is nonsimple.
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