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 $x_0x_1 \neq 1$.
Kosmala, W. (2011). A period 5 difference equation. International Journal of Nonlinear Analysis and Applications, 2(1), 82–84. https://doi.org/10.22075/ijnaa.2011.107
MLA
Kosmala, W. "A period 5 difference equation", International Journal of Nonlinear Analysis and Applications, 2, 1, 2011, 82–84. doi: 10.22075/ijnaa.2011.107
HARVARD
Kosmala, W. (2011). 'A period 5 difference equation', International Journal of Nonlinear Analysis and Applications, 2(1), pp. 82–84. doi: 10.22075/ijnaa.2011.107
CHICAGO
Kosmala, W., "A period 5 difference equation." International Journal of Nonlinear Analysis and Applications, 2 1 (2011): 82–84, doi: 10.22075/ijnaa.2011.107
VANCOUVER
Kosmala W. A period 5 difference equation. IJNAA. 2011;2(1):82–84. doi: 10.22075/ijnaa.2011.107
International Journal of Nonlinear Analysis and Applications