Single chemical reactions that preserve the total number of molecules
in a system are considered, and this is expressed by saying that such
reactions are stoichiometrically balanced. The study is restricted to
those systems whose forward and backward rate constants are equal. The
resulting time evolution, for the concentrations of the chemicals, de
fines a dynamical system (with discrete or continuous time) that is go
verned by a polynomial map of the interval [B,C], where B greater-than
-or-equal-to 0 and C less-than-or-equal-to 1.