Global dynamics of a rational system of difference equations in the plane
Date of Original Version
We investigate the global stability properties and asymptotic behavior of solutions of the system of difference equations Xn+1 = Xn/a+Yn2, Yn+1 = Yn/b+Xn2, n = 0, 1,... where the parameters a and b are positive numbers, and the initial conditions x0 and y0 are arbitrary nonnegative numbers.
Communications on Applied Nonlinear Analysis
Burgić, Dž, M. R.S. Kulenović, and M. Nurkanović. "Global dynamics of a rational system of difference equations in the plane." Communications on Applied Nonlinear Analysis 15, 1 (2008): 71-84. https://digitalcommons.uri.edu/math_facpubs/183