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It was established in 2006 that bifurcations of three-dimensionaldiffeomorphisms with a homoclinic tangency to a saddle-focus fixed point withthe Jacobian equal to 1 can lead to Lorenz-like strange attractors. In thepresent paper we prove an analogous result for three-dimensionaldiffeomorphisms with a homoclinic tangency to a saddle fixed point with theJacobian equal to 1, provided the quadratic homoclinic tangency underconsideration is non-simple.

Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points