engleski

A Rolewicz-type characterization of nonuniform behaviour

We present necessary and sufficient conditions in the spirit of Rolewicz under which all Lyapunov exponents of a given linear cocycle are either positive or negative. As a consequence, we formulate new conditions for the existence of the so-called tempered exponential dichotomies. We consider cocycles over both maps and flows.

Linear cocycle ; Lyapunov exponents ; Rolewicz theorem ; tempered exponential dichotomies

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