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Universal dynamics in a neighborhood of a generic elliptic periodic point
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Gelfreich, Vassili and Turaev, Dmitry (2010) Universal dynamics in a neighborhood of a generic elliptic periodic point. Regular and Chaotic Dynamics, Vol.15 (No.2-3). pp. 159-164. doi:10.1134/S156035471002005X
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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 |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Regular and Chaotic Dynamics | ||||
| Publisher: | M A I K Nauka - Interperiodica | ||||
| ISSN: | 1560-3547 | ||||
| Official Date: | June 2010 | ||||
| Dates: |
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| Volume: | Vol.15 | ||||
| Number: | No.2-3 | ||||
| Number of Pages: | 6 | ||||
| Page Range: | pp. 159-164 | ||||
| DOI: | 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 |
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