A Zabczyk type method for the study of the exponential trichotomy of discrete dynamical systems
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摘要
The aim of this paper is to present new discrete-time characterizations for uniform exponential trichotomy of dynamical systems. We obtain necessary and sufficient conditions for the existence of uniform exponential trichotomy of discrete dynamical systems, using a set of computational conditions of Zabczyk type. The main results are applied to deduce new criteria for the detection of the uniform exponential trichotomy of dynamical systems modeled by skew-product flows.
论文关键词:Discrete dynamical system,Uniform exponential trichotomy,Skew-product flow
论文评审过程:Available online 24 August 2014.
论文官网地址:https://doi.org/10.1016/j.amc.2014.07.108