Dynamics and Bifurcation of a Second Order Quadratic Rational Difference Equation

In this paper, we study the dynamics and bifurcation of $$ x_{n+1} = \frac{\alpha+ \beta {x^2}_{n-1}}{A+B {x_n}+C{x^2}_{n-1}}, \ n=0,\ 1, \ 2, \ ... $$ with positive parameters $\alpha,\ \beta, \ A, \ B, \ C, $ and non-negative initial conditions. Among others, we investigate local stability, invari...

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Bibliographic Details
Main Authors: Mohammad Saleh, Shahd Herzallah
Format: Article
Language:English
Published: Mahmut Akyigit 2020-12-01
Series:Journal of Mathematical Sciences and Modelling
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1138870