Constructing Invariants for Visualization of Vector Fields Defined by Integral Curves of Dynamic Systems
S. N. Chukanov
Omsk Department of Sobolev Institute of Mathematics Siberian Branch Russian Academy of Sciences
chukanov@ofim.oscsbras.ru
Keywords: visualization of processes in dynamic systems, pattern recognition, vector field invariant, group of affine transformations
Pages: 58-63
Abstract
An algorithm for obtaining invariants under a group of special affine transformations for vector fields defined by integral curves of dynamic systems. The algorithm for constructing topological invariants of vector fields is extended to the case where the elements of the special affine group differ at different points of an integral curve.
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