主 题: Universal dynamical systems
报告人: Prof. C. Bonatti (University of Bourgogne, France )
时 间: 2006-07-12 下午 3:30 - 4:30
地 点: 理科一号楼 1114
On compact 3-manifolds, a simple configuration involving just four
fixed points implies a surprizing phenomenon: every generic diffeomorphism in
the neighborhood presents infinitely independent periodic regions; the collection
of dynamics we get in restrictions to these regions contains all the known and
unknown persistent dynamical behaviors: infinitely many hyperbolic and
non-hyperbolic chaotic attractors and repellers of all the possible types,
isolated saddles...
I will try to give an intuition of these phenomenon, and also to explain how it
changed our vision of generic dynamical systems.