Palis, J.; Viana, M. High dimension diffeomorphisms displaying infinitely many periodic attractors. (English) Zbl 0817.58004 Ann. Math. (2) 140, No. 1, 207-250 (1994). 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). Reviewer: B.V.Loginov (Ulyanovsk) Cited in 2 ReviewsCited in 66 Documents MSC: 58C25 Differentiable maps on manifolds 37C70 Attractors and repellers of smooth dynamical systems and their topological structure Keywords:periodic attractors; smooth diffeomorphism; homoclinic tangency; sinks Citations:Zbl 0275.58016 PDF BibTeX XML Cite \textit{J. Palis} and \textit{M. Viana}, Ann. Math. (2) 140, No. 1, 207--250 (1994; Zbl 0817.58004) Full Text: DOI