A DUALITY FORMULA FOR MULTIDIMENSIONAL VECTOR-FIELDS

Authors
MILYUTIN AA
Citation
Aa. Milyutin, A DUALITY FORMULA FOR MULTIDIMENSIONAL VECTOR-FIELDS, Russian journal of mathematical physics, 3(1), 1995, pp. 81-112
Citations number
NO
Categorie Soggetti
Physycs, Mathematical
Journal title
Russian journal of mathematical physics → ACNP
ISSN journal
10619208
Volume
3
Issue
1
Year of publication
1995
Pages
81 - 112
Database
ISI
SICI code
1061-9208(1995)3:1<81:ADFFMV>2.0.ZU;2-Y
Abstract
The approximation of an arbitrary vector held on a finite-dimensional space by gradient vector fields is studied. The distance (in a certain sense) from a vector field to the manifold of gradient fields is expr essed via the circulation of the vector field. The formulas obtained a re, in particular, applied to studying quadratic conditions for singul ar modes in optimal control theory.