Article ID Journal Published Year Pages File Type
4627365 Applied Mathematics and Computation 2014 15 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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