@article {
author = {Kosmala, W.A.J.},
title = {A period 5 difference equation},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {82-84},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.107},
abstract = {The main goal of this note is to introduce another second-order difference equation where every nontrivial solution is of minimal period 5, namely the difference equation:$$x_{n+1} =\frac{1 + x_{n−1}}{x_nx_{n−1} − 1}, n = 1, 2, 3, . . .$$with initial conditions $x_0$ and $x_1$ any real numbers such that $x_0x_1 \neq 1$.},
keywords = {difference equation,periodicity,equilibrium points,convergence},
url = {https://ijnaa.semnan.ac.ir/article_107.html},
eprint = {https://ijnaa.semnan.ac.ir/article_107_28e9b898edfae7448af7bcbbdaa0c31b.pdf}
}