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

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May 29

Irrotational points of a vector field

Is there any general technique, in ${ℝ}^n$ 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)