"Large" strange attractors in the unfolding of a heteroclinic attractor

<p style='text-indent:20px;'>We present a mechanism for the emergence of strange attractors in one-parameter family differential equations defined on 3-dimensional sphere. When parameter is zero, its flow exhibits an attracting heteroclinic network (Bykov network) made by two 1-dimensional connections and one 2-dimensional separatrix between saddles-foci with different Morse indices. After slightly increasing parameter, while keeping unaltered, we concentrate our study case where invariant manifolds equilibria do not intersect. We will show that, set parameters close enough to zero positive Lebesgue measure, dynamics winding around "ghost'' torus supporting Sinai-Ruelle-Bowen (SRB) measures. also prove existence sequence values which superstable sink describe transition from Bykov attractor.</p>