MODELING OF INVARIANT VECTOR FIELDS DEFINED BY THE INTEGRAL CURVES OF DYNAMIC SYSTEMS
The paper is concerned around the algorithm of formation of vector fieldsinvariants. They are defined by integral curves of dynamic systems, according to the action of a Lie transformationgroup with dependence of group elements on the point of a space curve. It is used the geometry of bundles to visualize the vector fields. It is shown that for two spatial curves we can construct animagery based on a Lie group, which allows to compare the curves.
Keywords: pattern recognition of vector fields, invariants of vector fields, comparison of space curves, principal fibration
