Universal dynamics in a neighborhood of a generic elliptic periodic point

作者：Gelfreich V^*; Turaev D

来源：Regular & Chaotic Dynamics, 2010, 15(2-3): 159-164.

DOI：10.1134/S156035471002005X

• homoclinic tangency
• wild hyperbolic set
• Newhouse phenomenon
• Hamiltonian system
• area-preserving map
• volume-preserving flow
• exponentially small splitting
• KAM theory

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.

• 出版日期2010-6