scholarly journals On the asymptotic character of a generalized rational difference equation

2018 ◽  
Vol 38 (4) ◽  
pp. 1707-1718
Author(s):  
Esha Chatterjee ◽  
◽  
Sk. Sarif Hassan ◽  





2006 ◽  
Vol 178 (2) ◽  
pp. 345-354 ◽  
Author(s):  
Mehdi Dehghan ◽  
Reza Mazrooei-Sebdani


2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Emin Bešo ◽  
Senada Kalabušić ◽  
Naida Mujić ◽  
Esmir Pilav

AbstractWe consider the second-order rational difference equation $$ {x_{n+1}=\gamma +\delta \frac{x_{n}}{x^{2}_{n-1}}}, $$xn+1=γ+δxnxn−12, where γ, δ are positive real numbers and the initial conditions $x_{-1}$x−1 and $x_{0}$x0 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.



2012 ◽  
Vol 25 (12) ◽  
pp. 2232-2239 ◽  
Author(s):  
Qi Wang ◽  
Fanping Zeng ◽  
Xinhe Liu ◽  
Weiling You


2010 ◽  
Vol 2010 (1) ◽  
pp. 970720
Author(s):  
Xiu-Mei Jia ◽  
Lin-Xia Hu ◽  
Wan-Tong Li


2016 ◽  
Vol 34 (5_6) ◽  
pp. 369-382 ◽  
Author(s):  
FARIDA BELHANNACHE ◽  
NOURESSADAT TOUAFEK ◽  
RAAFAT ABO-ZEID




2019 ◽  
Vol 25 (3) ◽  
pp. 305-312
Author(s):  
D. S. Dilip ◽  
A. Kılıçman ◽  
Sibi C. Babu


2005 ◽  
Vol 11 (2) ◽  
pp. 133-150 ◽  
Author(s):  
You-Hui Su ◽  
Wan-Tong Li § ◽  
Stevo Stević


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