On invariants and forbidden sets

Details On invariants and forbidden sets On invariants and forbidden sets

2012-03-09

arxiv.org/abs/1203.2170v1

Mathematics

Dynamical Systems

2 figures

Scientific paper

We introduce six new algebraic invariants for rational difference equations. We use these invariants to perform a reduction of order in each case. This reduction of order allows us to find forbidden sets in each case. These six cases include two linear fractional rational difference equations of order greater than one. In all six cases, we give a closed form solution for all initial conditions which are not in the forbidden set. In all six cases, the initial conditions and parameters are assumed to be arbitrary complex numbers.

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