Two difference equations or dynamcial system are said to be identical if the infinite set of algebraic equation that they represent are identical. They represent the same set of equations.
for is identical to for because both dynamical system generate the same sequence for the same initial value. If , they will generate a sequence of
See Also: Index and Initial Value Agreement
Preferable reference for this tutorial is
Teknomo, Kardi (2015) Difference Equation Tutorial. https:\\people.revoledu.com\kardi\ tutorial\DifferenceEquation\