polynomial dynamics, Statistics and Probability, Geometric methods in ordinary differential equations, Numerical Analysis, Algebra and Number Theory, Control and Optimization, classical invariant theory, Applied Mathematics, Invariant theory, classical groups, Nonlinear ordinary differential equations and systems, polynomial differential systems, syzygies, transformations of differential systems, covariants, minimal generator system, nonlinear differential systems, [MATH]Mathematics [math], invariants, Symmetries, invariants of ordinary differential equations, Vector and tensor algebra, theory of invariants