In the last three decades, advances in methods for investigating polynomial ideals and their varieties have provided new possibilities for approaching two long-standing problems in the theory of differential equations: the Poincaré center problem and the cyclicity problem (the p…
Using a computational algebra approach, this text addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. It covers the main properties of ideals in polynomial rings and their affine varieties followed by a discussion on …
Using a computational algebra approach, this text addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. It covers the main properties of ideals in polynomial rings and their affine varieties followed by a discussion on …