期刊论文详细信息
Advances in Difference Equations | |
Boundedness of solutions and stability of certain second-order difference equation with quadratic term | |
article | |
Bešo, Emin1  Kalabušić, Senada1  Mujić, Naida2  Pilav, Esmir1  | |
[1] Department of Mathematics, University of Sarajevo;Faculty of Electrical Engineering, University of Sarajevo | |
关键词: Difference equation; Birkhoff normal form; Boundedness; Invariant set; Neimark–Sacker bifurcation; Stability; | |
DOI : 10.1186/s13662-019-2490-9 | |
学科分类:航空航天科学 | |
来源: SpringerOpen | |
【 摘 要 】
We consider the second-order rational difference equation $$ {x_{n+1}=\gamma +\delta \frac{x_{n}}{x^{2}_{n-1}}}, $$ where γ, δ 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.
【 授权许可】
CC BY
【 预 览 】
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RO202108070003956ZK.pdf | 2060KB | download |