Article ID Journal Published Year Pages File Type
5774035 Journal of Differential Equations 2017 27 Pages PDF
Abstract
We give a complete characterization of the uniform hyperbolicity and nonuniform hyperbolicity of a cocycle with values in the space of bounded linear operators acting on a Hilbert space in terms of the existence of appropriate quadratic forms. Our work unifies and extends many results in the literature by considering the general case of not necessarily invertible cocycles acting on a Hilbert space over an arbitrary invertible dynamics. As a nontrivial application of, we study the persistence of hyperbolicity under small linear perturbations.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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