Staying the course: Locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds. (arXiv:2204.10413v2 [cs.LG] UPDATED)

We introduce a method to successively locate equilibria (steady states) of
dynamical systems on Riemannian manifolds. The manifolds need not be
characterized by an a priori known atlas or by the zeros of a smooth map.
Instead, they can be defined by point-clouds and sampled as needed through an
iterative process. If the manifold is an Euclidean space, our method follows
isoclines, curves along which the direction of the vector field $X$ is
constant. For a generic vector field $X$, …

arxiv course equilibria systems