High dimension diffeomorphisms displaying infinitely many periodic attractors (Q1341982)
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scientific article; zbMATH DE number 709813
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | High dimension diffeomorphisms displaying infinitely many periodic attractors |
scientific article; zbMATH DE number 709813 |
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High dimension diffeomorphisms displaying infinitely many periodic attractors (English)
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31 July 1995
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The authors extend to higher dimensions the known two-dimensional result of \textit{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).
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periodic attractors
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smooth diffeomorphism
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homoclinic tangency
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sinks
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