In this paper, we investigate the equilibrium points, stability of two equilibrium points, convergences of negative equilibrium point, periodic solutions, and existence of bounded or unbounded solutions of a system of nonlinear difference equations $$x_{n+1}=x_{n-1}y_{n}-1,y_{n+1}=y_{n-1}x_{n}-1$$ $n=0,1,...$, where the initial values are real numbers. Additionally we present some numerical examples to verify our theoretical results.
Taşdemir,E . (2020). Dynamics of a second-order system of nonlinear difference equations. International Journal of Nonlinear Analysis and Applications, 11(2), 391-407. doi: 10.22075/ijnaa.2020.17257.1919
MLA
Taşdemir,E . "Dynamics of a second-order system of nonlinear difference equations", International Journal of Nonlinear Analysis and Applications, 11, 2, 2020, 391-407. doi: 10.22075/ijnaa.2020.17257.1919
HARVARD
Taşdemir E. (2020). 'Dynamics of a second-order system of nonlinear difference equations', International Journal of Nonlinear Analysis and Applications, 11(2), pp. 391-407. doi: 10.22075/ijnaa.2020.17257.1919
CHICAGO
E Taşdemir, "Dynamics of a second-order system of nonlinear difference equations," International Journal of Nonlinear Analysis and Applications, 11 2 (2020): 391-407, doi: 10.22075/ijnaa.2020.17257.1919
VANCOUVER
Taşdemir E. Dynamics of a second-order system of nonlinear difference equations. IJNAA. 2020;11(2):391-407. doi: 10.22075/ijnaa.2020.17257.1919
International Journal of Nonlinear Analysis and Applications