Applied Physics and Mathematics Annotation << Back THE DETERMINATION OF INVARIANTS OF VISUALIZING VECTOR FIELDS BY METHODS OF GEOMETRY BUNDLES D.B. ABRAMOV, S.O. BARANOV, S.V. LEJHTER, S.N. CHUKANOV The algorithm of the formation of invariants of vector fields defi ned by the integral curves of dynamical systems, in relation to the action of a Lie group of transformations in the presence of elements of the group, depending on the point of a space curve, is considered in the paper. It is used the geometry of bundles to visualize the vector fi elds. It is shown that for two spatial curves can construct a map based on a Lie group, which allows comparison the curves. Keywords: invariants of vector fields, matching of space curves, pattern recognition of vector fi elds, principal bundle. Contacts: E-mail: leykhter@mail.ru, E-mail: ch_sn@mail.ru Pp. 26-30.