If intersecting stable and unstable manifolds (separatrices) emanate from fixed points of different families, they are called heteroclinic points.
Heteroclinic Point
See also
Homoclinic Point, Manifold, SeparatrixExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Heteroclinic Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HeteroclinicPoint.html