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(1992)
On the Bifurcation of a Saddle-Focus Separatrix Loop in a ThreeDimensional Conservative Dynamical System
- Publisher
- Springer Journals
- Copyright
- Copyright © 2010 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Dynamical Systems and Ergodic Theory
- ISSN
- 1560-3547
- eISSN
- 1468-4845
- DOI
- 10.1134/S156035471002005X
- Publisher site
- See Article on Publisher Site
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.
Journal
Regular and Chaotic Dynamics – Springer Journals
Published: Apr 27, 2010