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math.DS2021
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…
math.DS2021
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…