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math.DS2019
Permanence and universal classification of discrete-time competitive systems via the carrying simplex
Mats Gyllenberg, Jifa Jiang, Lei Niu +1
We study the permanence and impermanence for discrete-time Kolmogorov systems admitting a carrying simplex. Sufficient conditions to guarantee permanence and impermanence are provi…
math.DS2012★ 1 cited
Characterizations of dominated splitting system and its relation to hyperbolicity
Chun Fang, Mats Gyllenberg, Shitao Liu
Hyperbolicity and dominated splitting are two of the most important concepts in the global analysis of differentiable dynamics. In this paper we give several equivalent characteriz…