Linear
Hamiltonian systems with absolutely continuous dynamics
with
Sylvia Novo,
Nonlinear
Anal. T.M.A. 47
(2001), 1401-1406.
Over
the last 40 years, an approach to the study of
non-autonomous linear
differential equations
has been developed using methods of ergodic theory
and topological dynamics.
The purpose of the paper is to present some results
concerning the measurable
structure of a random family of non-autonomous
linear Hamiltonian systems. More
precisely, some results concerning the
existence and means of construction of
absolutely continuous
invariant
measures on the real Lagrange bundle are stated and the presence of
absolutely continuous dynamics is characterized.
