Global Dynamics of Higher-Order Exponential Systems of Difference Equations

Abstract

In this paper, we study the global dynamics of three higher-order exponential systems of rational difference equations. This suggested work considerably extends and improves some existing results in the literature.

Dynamics and general form of the solutions of rational difference equations

“…Investigating the behavior of solutions to a system of nonlinear differential equations and discussing the local asymptotic stability of their equilibrium points is particularly intriguing (see, for example, [2,8,20,23,28,32]). The technique of determining the general form of the solution for special cases of the equation has been the subject of numerous investigations.…”

Qualitative behavior and solution of a system of three‐dimensional rational difference equations

“…For more studied, see previous works. [9][10][11][12][13][14][15][16][17][18][19][20][21] There are many forms and types of rational difference equations which can be studied in different cases; for example, Stevi ć et al 22 solved the next rational difference equations w n+1 = w n−h w n−i 𝛼 w n−𝑗 + 𝛽 w n−k .…”

On the dynamical behaviors and periodicity of difference equation of order three

“…For more linked results on this side can be found in [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”