Asymptotic stability at infinity for differentiable vector fields of the plane

C. Gutierrez, B. Pires, R. Rabanal

Let X:R2\Dr->R2 be a differentiable (but not necessarily C1) vector field, where r>0 and Dr={z\in R2:|z|\le r}. If for some e>0 and for all p\in R2\Dr, no eigenvalue of D_p X belon…