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arXiv · 1203.5744

Invariant densities for dynamical systems with random switching

Yuri Bakhtin·Tobias Hurth
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Abstract

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 Hörmander type hypoellipticity conditions are sufficient for uniqueness and absolute continuity of an invariant measure.

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Yuri Bakhtin, Tobias Hurth. 2018-11-22. Invariant densities for dynamical systems with random switching. https://doi.org/10.1088/0951-7715%2F25%2F10%2F2937

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