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Universal dynamics in a neighborhood of a generic elliptic periodic point
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Gelfreich, Vassili and Turaev, D.. (2010) Universal dynamics in a neighborhood of a generic elliptic periodic point. Regular and Chaotic Dynamics, Vol.15 (No.2-3). pp. 159-164. ISSN 1560-3547
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Official URL: http://dx.doi.org/10.1134/S156035471002005X
Abstract
We show that a generic area-preserving two-dimensional map with an elliptic periodic point is C (omega) -universal, i.e., its renormalized iterates are dense in the set of all real-analytic symplectic maps of a two-dimensional disk. The results naturally extend onto Hamiltonian and volume-preserving flows.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Regular and Chaotic Dynamics |
| Publisher: | M A I K Nauka - Interperiodica |
| ISSN: | 1560-3547 |
| Date: | June 2010 |
| Volume: | Vol.15 |
| Number: | No.2-3 |
| Number of Pages: | 6 |
| Page Range: | pp. 159-164 |
| Identification Number: | 10.1134/S156035471002005X |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | Leverhulme Foundation, ISF |
| Grant number: | 273/07 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/5982 |
Data sourced from Thomson Reuters' Web of Knowledge
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