Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.11889/6713
Title: | Dynamics and Bifurcation of a Second Order Rational Difference Equation with Quadratic Terms | Authors: | Saleh, Mohammad Hirzallah, Shahd |
Keywords: | Equilibrium points;Stability;Period-doubling;Bifurcation | Issue Date: | 2021 | Publisher: | Journal of Applied Nonlinear Dynamics | Abstract: | We study some results concerning dynamics and bifurcation of a special case of a second order rational difference equations with quadratic terms. We consider the second order, quadratic rational difference equation xn+1 = α +βxn−1 A+Bx2 n +Cxn−1 , n = 0, 1, 2, ... with positive parameters α, β, A, B, C, and non-negative initial conditions. We investigate local stability, invariant intervals, boundedness of the solutions, periodic solutions of prime period two and global stability of the positive fixed points. And we study the types of bifurcation exist where the change of stability occurs. Then, we give numerical examples with figures to support our results. | URI: | http://hdl.handle.net/20.500.11889/6713 |
Appears in Collections: | Fulltext Publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
10(3)-14-JAND-D-19-00083_proof.pdf | 489.38 kB | Adobe PDF | View/Open |
Page view(s)
141
checked on Apr 14, 2024
Download(s)
116
checked on Apr 14, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.