Dynamics of a System of Rational Higher-Order Difference Equation. (20th May 2013)

• Record Type: Journal Article
• Authors: Sroysang, Banyat
• Other Names: Çinar Cengiz Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2013(2013)
• Publication Date: 2013-05-20
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2013/179401
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : We focus on a system of a rational m -order difference equation x n + 1 = ( x n - m + 1 ) / ( A + y n y n - 1 ⋯ y n - m + 1 ), y n + 1 = ( y n - m + 1 ) / ( B + x n x n - 1 ⋯ x n - m + 1 ), n = 0, 1, …, where A, B, x 0, x - 1, …, x - m + 1, y 0, y - 1, …, y - m + 1 ∈ ( 0, ∞ ) . We investigate the dynamical behavior of positive solution for the system.