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.
Highlights
Global dynamical properties of difference equations or systems of difference equations involving exponential term have been widely investigated in recent years
We study the global dynamics of three higher-order exponential systems of rational difference equations
Motivated by the above systemic studies, in this paper we aim to explore the dynamical properties of the following higher-order exponential systems of difference equations, which are natural extension of the work studied by Ozturk et al [4]: xn+1
Summary
Global dynamical properties of difference equations or systems of difference equations involving exponential term have been widely investigated in recent years. Ozturk et al [1] have explored the dynamical properties of the following exponential difference equation: xn+1 =. Comert et al [2] have explored the dynamical properties of the following higher-order exponential difference equation:. Where α, β, γ, and xp (p = 0, −1, ⋅ ⋅ ⋅ , −k) are positive real numbers. Bozkurt [3] has explored the dynamical properties of the following exponential difference equation: αe−xn + βe−xn−1 xn+1 γ + αxn
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