On a System of Two High‐Order Nonlinear Difference Equations

Qianhong Zhang and Wenzhuan Zhang

Advances in Mathematical Physics, 2014, vol. 2014, issue 1

Abstract: This paper is concerned with dynamics of the solution to the system of two high‐order nonlinear difference equations xn+1=xn-k/(q+∏i=0kyn-i), yn+1=yn-k/(p+∏i=0kxn-i), k ∈ N+, n = 0,1, …, where p, q ∈ (0, ∞), x−i ∈ (0, ∞), y−i ∈ (0, ∞) and i = 0, 1, …, k. Moreover the rate of convergence of a solution that converges to the equilibrium (0, 0) of the system is discussed. Finally, some numerical examples are considered to show the results obtained.

Date: 2014
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https://doi.org/10.1155/2014/729273

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:729273

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