3 citations · 3 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
Nonexistence of observable chaos and its robustness in strongly monotone dynamical systems
Yi Wang, Jinxiang Yao
For strongly monotone dynamical systems on a Banach space, we show that the largest Lyapunov exponent holds on a shy set in the measure-theoretic sense. This exhibits…
Sharpened dynamics alternative and its -robustness for strongly monotone discrete dynamical systems
Yi Wang, Jinxiang Yao
For strongly monotone dynamical systems, the dynamics alternative for smooth discrete-time systems turns out to be a perfect analogy of the celebrated Hirsch's limit-set dichotomy…
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…
Almost automorphy of minimal sets for -smooth strongly monotone skew-product semiflows on Banach spaces
Yi Wang, Jinxiang Yao
We focus on the presence of almost automorphy in strongly monotone skew-product semiflows on Banach spaces. Under the -smoothness assumption, it is shown that any linearly sta…