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High dimension diffeomorphisms displaying infinitely many periodic attractors. (English) Zbl 0817.58004
The authors extend to higher dimensions the known two-dimensional result of S. E. Newhouse [Topology 13, 9-18 (1974; Zbl 0275.58016)] in the following main Theorem: Near any smooth diffeomorphism exhibiting a homoclinic tangency associated to a sectionally dissipative saddle, there is a residual subset of an open set of diffeomorphisms such that each of its elements displays infinitely many coexisting sinks (attracting periodic orbits).

58C25 Differentiable maps on manifolds
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
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