IMCS/Publications/BASM/Issues/BASM n.2 (42), 2003/

On rational bases of GL(2,R)-comitants of planar polynomial systems of differential equations. (English)

Authors: Calin Iurie


The linear transformations of autonomous planar polynomial systems of differential equations which reduce these systems to the canonical forms with coefficients expressed as rational functions of GL(2,R)-comitants and GL(2,R)-invariants are established. Such canonical forms for general quadratic and cubic systems are constructed in concrete forms. Using constructed canonical forms for polynomial systems some rational bases of GL(2,R)-comitants depending on the coordinates of one vector are obtained.

Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str., Chisinau,
MD-2028, Moldova


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