摘要：In this paper, we study the dynamical behavior of positive solution for a system of a rational third-order difference equation x n + 1 = x n − 2 B + y n − 2 y n − 1 y n , y n + 1 = y n − 2 A + x n − 2 x n − 1 x n , n = 0 , 1 , … , where A , B ∈ ( 0 , ∞ ) , x − 2 , x − 1 , x 0 ∈ ( 0 , ∞ ) ; y − 2 , y − 1 , y 0 ∈ ( 0 , ∞ ) . MSC:39A10.
关键词：difference equation ; local behavior ; unstable
