Rolle’s theorem for dynamical systems in the plane
Let be a smooth planar dynamical system and a continuous curve which has a tangent vector at each point (i.e. is differentiable
). Then there is a contact point between any two points of the intersection of and a separating solution of .[KGA]
References
- KGA Khovanskiĭ, A.G.: Fewnomials. American Mathematical Society, Providence, 1991.