论文标题
不变密度的奇异性，用于在2D中的两个线性ODE之间随机切换
Singularities of invariant densities for random switching between two linear ODEs in 2D
论文作者
论文摘要
我们考虑了一个平面动力系统，该系统由两个稳定的线性矢量场产生，它们之间具有不同的固定点和随机切换。我们以切换速率和收缩速率来表征不变密度的奇异性。我们证明了这些奇点的界限。我们还讨论了一些激励的生物学例子。
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.
