On families of trajectories of an analytic gradient vector field
On families of trajectories of an analytic gradient vector field
For an analytic function $f:\mathbb R^n,0 \rightarrow \Bbb R,0$ having a critical point at the origin, we describe the topological properties of the partition of the family of trajectories of the gradient equation $\dot{x}=\nabla f(x)$ attracted by the or