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math.DS2023
Stable Chimera States: A Geometric Singular Perturbation Approach
Luis Guillermo Venegas-Pineda, Hildeberto Jardón-Kojakhmetov, Ming Cao
Over the past decades chimera states have attracted considerable attention given their unexpected symmetry-breaking spatio-temporal nature, simultaneously exhibiting synchronous an…
math.DS2022
On Wilson's theorem about domains of attraction and tubular neighborhoods
Bohuan Lin, Weijia Yao, Ming Cao
In this paper, we show that the domain of attraction of a compact asymptotically stable submanifold of a finite-dimensional smooth manifold of an autonomous system is homeomorphic…