… polynomials h for which there are polynomials π and ρ satisfying f ◦π = πσ ◦h and g ◦ ρ = ρσ ◦
h. Possible compositional identities involving polynomials … question of which polynomials a(x…

… important classes of nonnegative dynamic systems. Disciplines … , such classes of polynomial
dynamic systems can be … a valuable monograph on polynomial dynamic models. It provides …

… Many results extend from quadratic polynomials to convex functions with negative … Many
dynamic properties of polynomials extend to the framework of polynomial-like mappings. In fact, …

… focus on systems with polynomial dynamics, our approach … -polynomial dynamics. We first
derive a data-driven parametrization of unknown nonlinear systems with rational dynamics. By …

… principally with heights of polynomials. By working with polynomials rather than algebraic …
example, certain results about many-variable polynomials are proved for two variables), and …

… However, if f is polynomial as in our case, and a polynomial Lyapunov function V is of … −∇
a V (a)⋅f(a) are SOS of polynomials. To accommodate the strict inequalities in (1.3) and (1.4), …

… a dynamic proof using machine learning based strategies. The framework we propose for
proving inequalities on polynomials … augmenting polynomial systems with MLguided dynamic …

… the complex dynamics of a family of polynomials defined on the … tial to our understanding of
polynomial dynamics. In our results, … A point z ∈ C is a finite critical point for a polynomial f if f …

… a DH polynomial-like map (we will sometimes skip "DH" in case this does not cause confusion
with "generalized" polynomial-like maps defined below). Every polynomial with connected …

… polynomial chaos-based approaches are presented and their applicability to vehicle dynamic
… use of polynomial chaos-based techniques for dynamic vehicle analysis under uncertainty. …