LYAPUNOV FUNCTIONS IN HAUSDORFF DIMENSION ESTIMATES OF COCYCLE ATTRACTORS
Gennady Leonov, Volker Reitmann
We consider global attractors or invariant sets
of cocycles which are generated by
nonautonomous ordinary differential equations.
Using the singular values of the linearized flow
and adapted Lyapunov functions we give upper
Hausdorff dimension estimates for a class of
global cocycle attractors or invariant sets.