  In this paper we report a few examples of algebraically solvable dynamical
systems characterized by 2 coupled Ordinary Differential Equations which read
as follows: x_n = P(n) (x1, x2) , n = 1, 2 , with P(n) (x1, x2) specific
polynomials of relatively low degree in the 2 dependent variables x1 = x1 (t)
and x2 = x2 (t) . These findings are obtained via a new twist of a recent
technique to identify dynamical systems solvable by algebraic operations,
themselves explicitly identified as corresponding to the time evolutions of the
zeros of polynomials the coefficients of which evolve according to
algebraically solvable (systems of) evolution equations.
