Symmetry in planar dynamical systems
In the study of dynamical systems, conditions for a critical point to be a centre are often sought. The sufficiency of such conditions is probed using various techniques, here, the authors exploit the possible symmetry of a given system. They describe an application of Gröbner bases in the search for a bilinear transformation of the system to one which is symmetric in a line.
scientific article; zbMATH DE number 1753683