68 citations · 275 across the 47 of their papers we have counts for
7 papers · 1 filter
Singularities of invariant densities for random switching between two linear ODEs in 2D
Yuri Bakhtin, Tobias Hurth, Sean D. Lawley +1
We consider a planar dynamical system generated by two stable linear vector fields with distinct fixed points and random switching between them. We characterize singularities of th…
Strongly mixing smooth planar vector field without asymptotic directions
Yuri Bakhtin, Liying Li
We use a Voronoi-type tessellation based on a compound Poisson point process to construct a polynomially mixing stationary random smooth planar vector field with bounded nonnegativ…
Weakly mixing smooth planar vector field without asymptotic directions
Yuri Bakhtin, Liying Li
We construct a planar smooth weakly mixing stationary random vector field with nonnegative components such that, with probability 1, the flow generated by this vector field does no…
Smooth invariant densities for random switching on the torus
Yuri Bakhtin, Tobias Hurth, Sean D. Lawley +1
We consider a random dynamical system obtained by switching between the flows generated by two smooth vector fields on the 2d-torus, with the random switchings happening according…
Regularity of invariant densities for 1D-systems with random switching
Yuri Bakhtin, Tobias Hurth, Jonathan C. Mattingly
This is a detailed analysis of invariant measures for one-dimensional dynamical systems with random switching. In particular, we prove smoothness of the invariant densities away fr…
Invariant densities for dynamical systems with random switching
Yuri Bakhtin, Tobias Hurth
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 vect…