Luis Barreira, Claudia Valls
Abstract:
We consider the notion of an exponential dichotomy in mean for a cocycle,
in which the exponential behavior in the classical notion of an
exponential dichotomy is replaced by an average with respect to an
invariant probability measure. We give a complete characterization of
the exponential behavior in mean in terms of Lyapunov functions,
both for cocycles over maps and flows.
Submitted February 23, 2017. Published October 10, 2017.
Math Subject Classifications: 37D10, 37D25.
Key Words: Exponential dichotomies in mean; Lyapunov functions.
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| Luis Barreira Departamento de Matemática Instituto Superior Técnico Universidade de Lisboa, 1049-001 Lisboa, Portugal email: barreira@math.tecnico.ulisboa.pt |
| Claudia Valls Departamento de Matemática Instituto Superior Técnico Universidade de Lisboa, 1049-001 Lisboa, Portugal email: cvalls@math.tecnico.ulisboa.pt |
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