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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

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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
Official Date: June 2010
Dates:
DateEvent
June 2010Published
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

Data sourced from Thomson Reuters' Web of Knowledge

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