Universal dynamics in a neighborhood of a generic elliptic periodic point |
| |
| Authors: | V Gelfreich D Turaev |
| |
| Institution: | 1. Mathematics Institute, University of Warwick, Zeeman Building, Coventry, CV4 7AL, UK
2. Imperial College London, South Kensington Campus, London, SW7 2AZ, UK
|
| |
| Abstract: | We show that a generic area-preserving two-dimensional map with an elliptic periodic point is C ω -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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
