Publications [#359780] of Jonathan C. Mattingly

Papers Published

1. Bakhtin, Y; Hurth, T; Lawley, SD; Mattingly, JC, Singularities of invariant densities for random switching between two linear ODEs in 2D, SIAM Journal on Applied Dynamical Systems, vol. 20 no. 4 (January, 2021), pp. 1917-1958 [doi]
   (last updated on 2024/04/24)

   Abstract:
   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 the invariant density in terms of the switching rates and contraction rates. We prove boundedness away from those singularities. We also discuss some motivating biological examples.