4 papers
Admissibility and polynomial dichotomies for evolution families
Davor Dragicevic
For an arbitrary evolution family, we consider the notion of a polynomial dichotomy with respect to a family of norms and characterize it in terms of the admissibility property, th…
A version of the theorem of Johnson, Palmer and Sell for quasicompact cocycles
Davor Dragicevic
The well-known theorem of Johnson, Palmer and Sell asserts that the endpoints of the Sacker--Sell spectrum of a given cocycle of invertible matrices over a topological dynamical sy…
Datko-Pazy conditions for nonuniform exponential stability
Davor Dragicevic
For linear cocycles over both maps and flows, we obtain Datko-Pazy type of conditions under which all Lyapunov exponents of a given cocycle are negative. Furthermore, by combining…
Characterization of hyperbolicity and generalized shadowing lemma
Davor Dragicevic, Sinisa Slijepcevic
J. Mather characterized uniform hyperbolicity of a discrete dynamical system as equivalent to invertibility of an operator on the set of all sequences bounded in norm in the tangen…