二维线性常微分方程间随机切换的不变密度的奇异性
Singularities of invariant densities for random switching between two linear ODEs in 2D
摘要：
考虑由两个稳定的线性向量场生成的平面动力系统，该向量场具有不同的不动点，并且在它们之间随机切换。我们的开关率和收缩率方面的不变密度的奇异性。我们证明了远离这些奇点的有界性。我们还讨论了一些生物学上的例子。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
