  The evolution equations mentioned in the title of this paper read as follows:
x~n = P(n)(x1; x2) , n = 1, 2 , where l is the "discrete-time" independent
variable taking integer values (l =0, 1, 2, ...), xn = xn (l) are the 2
dependent variables, x~n = xn (l + 1), and the 2 functions P(n)(x1, x2), n = 1,
2, are 2 polynomials in the 2 dependent variables x1 (l) and x2 (l). The
results reported in this paper have been obtained by an appropriate
modification of a recently introduced technique to obtain analogous results in
continuous-time t in which case xn = xn (t) and the above recursion relations
are replaced by first-order ODEs. Their potential interest is due to the
relevance of this kind of evolution equations in various applicative contexts.
