Invariant densities for dynamical systems with random switching

Details Invariant densities for dynamical systems with random switching Invariant densities for dynamical systems with random switching

2012-03-26

arxiv.org/abs/1203.5744v1

Mathematics

Dynamical Systems

16 pages

Scientific paper

We consider a non-autonomous ordinary differential equation on a smooth
manifold, with right-hand side that randomly switches between the elements of a
finite family of smooth vector fields. For the resulting random dynamical
system, we show that H\"ormander type hypoellipticity conditions are sufficient
for uniqueness and absolute continuity of an invariant measure.

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