Boundedness of solutions and stability of certain second-order difference equation with quadratic term

被引：8
|
作者：
Beso, Emin [1 ]
Kalabusic, Senada [1 ]
Mujic, Naida [2 ]
Pilav, Esmir [1 ]
机构：
[1] Univ Sarajevo, Dept Math, Sarajevo, Bosnia & Herceg
[2] Univ Sarajevo, Fac Elect Engn, Sarajevo, Bosnia & Herceg
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Difference equation; Birkhoff normal form; Boundedness; Invariant set; Neimark-Sacker bifurcation; Stability; GLOBAL ATTRACTIVITY;
D O I：
10.1186/s13662-019-2490-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the second-order rational difference equation x(n+1) = gamma + delta x(n)/x(n-1)(2), where gamma, delta are positive real numbers and the initial conditions x(-1) and x(0) are positive real numbers. Boundedness along with global attractivity and Neimark-Sacker bifurcation results are established. Furthermore, we give an asymptotic approximation of the invariant curve near the equilibrium point.
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页数：22
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