Consider n-dimensional function with multiple local minima (e.g. http://ac6la.com/aeopt5.png). There exist some basins of attraction for which particle fall to one or the other minimum. Boundary between two such basins has some properties of saddle point ( along some direction first derivative is zero, and second derivative negative )
Is there any good mathematical term for this line (in 2D; or surface in 3D) ?
I was considering separatrix used in context of differential equations but that is probably something a bit different.
other therms - inflection line, critical line, saddle line
even more illustrative image:
http://journal.media-culture.org.au/files/journals/1/articles/716/supp/716-2834-1-SP.jpg (I want to know which term to use for the dashed line which separates the two basins)
