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In this paper we present the scenario of the occurrence of stronglydissipative mixed dynamics in two-dimensional reversible diffeomorphisms, usingas an example the system describing a motion of two point vortices under theinfluence of wave perturbation and shear flow. For mixed dynamics of this typethe chaotic attractor intersects with the chaotic repeller, but theirintersection forms a "thin" set. The main stage of this scenario is theappearance of homoclinic structures for a symmetric saddle orbit which ariseafter crisis of a homoclinic attractor and repeller.

On a scenario of onset of strongly dissipative mixed dynamics