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Global dynamics of a 3 × 6 exponential system of difference equations
Author(s) -
Khan A. Q.
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5833
Subject(s) - mathematics , exponential function , dynamics (music) , work (physics) , exponential growth , mathematical analysis , physics , quantum mechanics , acoustics
We study the global dynamics of following 3×6 exponential system of difference equations:x n + 1 =α 1 + β 1 e − x nγ 1 + y n − 1,y n + 1 =α 2 + β 2 e − y nγ 2 + z n − 1,z n + 1 =α 3 + β 3 e − z nγ 3 + x n − 1, n = 0 , 1 , ⋯ , where parameters α i , β i , γ i ( i =1,2,3) and initial conditions x i , y i , z i ( i =0,−1) are nonnegative real numbers. The proposed work is considerably extended and improve some existing results in the literature. Finally, theoretical results are verified by numerical simulations.