Center problem in the center manifold for quadratic differential systems in R^3
Using tools of computer algebra based on the Gröbner basis theory we derive conditions for the existence of a center on a local center manifold for fifteen seven-parameter families of quadratic systems on R 3. To obtain the results we use modular arithmetics.
Journal or Serie
Journal of Symbolic Computation, 2016, vol. 73, p. 250-267