scholarly journals Stability and flip bifurcation of a three‐dimensional exponential system of difference equations

2020 ◽  
Author(s):  
Chrysoula Mylona ◽  
Garyfalos Papaschinopoulos ◽  
Christos J. Schinas
Keyword(s):  
Difference Equations ◽  
Three Dimensional ◽  
Flip Bifurcation ◽  
System Of Difference Equations ◽  
Exponential System

scholarly journals On a solvable three-dimensional system of difference equations

Filomat ◽  
2020 ◽  
Vol 34 (4) ◽  
pp. 1167-1186
Author(s):  
Merve Kara ◽  
Yasin Yazlik
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Three Dimensional ◽  
Asymptotic Behavior Of Solutions ◽  
Dimensional System ◽  
Real Numbers ◽  
System Of Difference Equations ◽  
Initial Values ◽  
Forbidden Set ◽  
Three Dimensional System

In this paper, we show that the following three-dimensional system of difference equations xn = zn-2xn-3/axn-3 + byn-1, yn = xn-2yn-3/cyn-3 + dzn-1, zn = yn-2zn-3/ezn-3+ fxn-1, n ? N0, where the parameters a, b, c, d, e, f and the initial values x-i, y-i, z-i, i ? {1, 2, 3}, are real numbers, can be solved, extending further some results in literature. Also, we determine the asymptotic behavior of solutions and the forbidden set of the initial values by using the obtained formulas.

On a three-dimensional solvable system of difference equations

2020 ◽  
Vol 44 (4) ◽  
pp. 1263-1288
Author(s):  
Yacine HALIM ◽  
Massaoud BERKAL ◽  
Amira KHELIFA
Keyword(s):  
Difference Equations ◽  
Three Dimensional ◽  
System Of Difference Equations ◽  
Solvable System
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