To take a fictitious example :
Xn+1 = 3Xn2 + 5Xn + 17 [Dynamical law] IS Xn+1 = AXn2 + 5Xn + 17 [Genus], where A is subsequently being determined as being equal to 3 [Difference].
That is, the genus AXn2 + 5Xn + 17 is further determined by the difference 3.