Classification of global behavior of a system of rational difference equations. (November 2018)

• Record Type: Journal Article
• Authors: Matsunaga, Hideaki; Suzuki, Rina
• Is Part Of: Applied mathematics letters. Volume 85(2018)
• Page Start: 57
• Page End: 63
• Publication Date: 2018-11
• Subjects: Rational difference system -- Stability -- Periodicity -- Forbidden set; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2018.05.020
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This paper deals with a system of rational difference equations x n + 1 = a y n + b c y n + d, y n + 1 = a x n + b c x n + d, n = 0, 1, 2, …, where a, b, c, d are real numbers with c ≠ 0 and a d − b c ≠ 0 . We establish a representation formula of solutions of the system and classify global behavior of solutions when no initial values belong to the forbidden set of the system.