3 papers
math.DS2023
Birkhoff Center and Statistical Behavior of Competitive Dynamical Systems
Xi Sheng, Yi Wang, Yufeng Zhang
We investigate the location and structure of the Birkhoff center for competitive dynamical systems, and give a comprehensive description of recurrence and statistical behavior of o…
math.DS2022
Prevalent behavior and almost sure Poincare-Bendixson Theorem for smooth flows with invariant k-cones
Yi Wang, Jinxiang Yao, Yufeng Zhang
We investigate the global dynamics from a measure-theoretic perspective for smooth flows with invariant cones of rank k. For such systems, it is shown that prevalent (or equivalent…
math.DS2021
Prevalent Behavior of Smooth Strongly Monotone Discrete-Time Dynamical Systems
Yi Wang, Jinxiang Yao, Yufeng Zhang
For C1-smooth strongly monotone discrete-time dynamical systems, it is shown that ``convergence to linearly stable cycles" is a prevalent asymptotic behavior in the measuretheoreti…