Wikipedia:Reference desk/Archives/Mathematics/2013 May 29

= May 29 =

Irrotational points of a vector field
Is there any general technique, in $$\mathbb{R}^n$$ space, for finding irrotational points of a vector field? I should add that, in the case of my vector field, not all such points need be isolated.--Leon (talk) 07:02, 29 May 2013 (UTC)
 * There is a lot of work about detecting singularities of vector fields, a search will yield plenty of papers. You might be able to modify these algorithms for your purpose.--Salix (talk): 15:16, 29 May 2013 (UTC)
 * Don't have the time to look at it to see if I'm talking nonsense, but a look at Geometrical Methods of Nonlinear Analysis (1984) by Krasnoselʹskiĭ & Zabreĭko, Volume 263 of Springer's Grundlehren might help.John Z (talk) 10:08, 4 June 2013 (UTC)