Dynamics dichotomy and generic convergence for C^1-smooth strongly monotone discrete dynamical systems
[Math. Dept.]
June 21, 2020 14:30-15:20
腾讯会议（线上）
SPEAKER
王毅（中国科学技术大学）
ABSTRACT
In this talk, we will report a dynamics dichotomy for C^1-smooth strongly monotone discrete-time dynamical systems, which concludes that any compact orbit is either asymptotic to a linearly stable cycle; or otherwise manifestly unstable. For this purpose, we improve several properties of the exponential separation for continuous maps. The generic convergence to cycles is obtained as a by-product of the dynamics dichotomy.
SUPPORTED BY
Tianyuan Mathematical Center in Southwest China
School of Mathematics, Sichuan University
VIDEO
- Dynamics dichotomy and generic convergence for C^1-smooth strongly monotone discrete dynamical systems
- 14:30 - 15:20, 2020-06-21 at 腾讯会议（线上）
- 王毅（中国科学技术大学）