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Perturbing a product of stable flows
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Manning, Anthony. (2005) Perturbing a product of stable flows. Proceedings of the American Mathematical Society, Vol.133 (No.6). pp. 1693-1697. ISSN 0002-9939
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Official URL: http://www.jstor.org/stable/4097706
Abstract
Suppose that f and f' are axiom A flows with attractors A and A'. Then the attractor A x A' for the product flow g(t) = f(t) x f(t)' on the product manifold is no longer hyperbolic ( although there is a hyperbolic action of R-2). It is easy to see that the attractor cannot explode but we show here that it cannot implode: for any flow (h(t)) sufficiently close to (g(t)) any attractor whose basin is not too thin is epsilon-dense in A x A'.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Proceedings of the American Mathematical Society |
| Publisher: | American Mathematical Society |
| ISSN: | 0002-9939 |
| Date: | 2005 |
| Volume: | Vol.133 |
| Number: | No.6 |
| Number of Pages: | 5 |
| Page Range: | pp. 1693-1697 |
| Identification Number: | 10.1090/S0002-9939-05-07872-X |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/7099 |
Data sourced from Thomson Reuters' Web of Knowledge
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