Stability and bifurcation analysis of fifth-order nonlinear fractional difference equation

A Khaliq, I Mustafa, TF Ibrahim, WM Osman… - Fractal and …, 2023 - mdpi.com
In this paper, a rational difference equation with positive parameters and non-negative
conditions is used to determine the presence and direction of the Neimark–Sacker …

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

E Bešo, S Kalabušić, N Mujić, E Pilav - Advances in Difference Equations, 2020 - Springer
We consider the second-order rational difference equation xn+ 1= γ+ δ xnxn− 1 2, x_ n+ 1=
γ+ δ x_ nx^ 2 _ n-1, where γ, δ are positive real numbers and the initial conditions x− 1 x_-1 …

[PDF][PDF] The invariant curve caused by Neimark-Sacker bifurcation of a perturbed Beverton-Holt difference equation

T Khyat, MRS Kulenovic, E Pilav - International Journal of …, 2017 - researchgate.net
We compute the direction of the Neimark–Sacker bifurcation for the difference equation xn+
1= xn Cx2 n-1+ Dxn+ F, where C, D and F are positive numbers and the initial conditions x-1 …

[PDF][PDF] Stability, periodicity and Neimark-Sacker bifurcation of certain homogeneous fractional difference equations

M Garic-Demirovic, M Nurkanovic… - International Journal of …, 2017 - researchgate.net
We investigate the local and global character of the unique equilibrium point, the existence
and the local stability of the period-two solutions of certain homogeneous fractional …

Qualitative analysis of second-order fuzzy difference equation with quadratic term

Q Zhang, M Ouyang, B Pan, F Lin - Journal of Applied Mathematics and …, 2023 - Springer
In this paper, we explore the qualitative features of a second-order fuzzy difference equation
with quadratic term xn+ 1= A+ B xnxn-1 2, n= 0, 1,…. Here the parameters A, B∈ ℜ F+ and …

Stability, Neimark–Sacker Bifurcation, and Approximation of the Invariant Curve of Certain Homogeneous Second‐Order Fractional Difference Equation

M Garić-Demirović, S Moranjkić… - Discrete Dynamics in …, 2020 - Wiley Online Library
We investigate the local and global character of the unique equilibrium point and
boundedness of the solutions of certain homogeneous fractional difference equation with …

[PDF][PDF] ASYMPTOTIC FEATURE OF DISCRETE SECOND-ORDER FUZZY DIFFERENCE EQUATION WITH QUADRATIC TERM

Q Zhang, F **, Z Zhang, B Pan - Journal of Applied Analysis & …, 2025 - jaac-online.com
This article explores the asymptotic feature of a discrete secondorder fractal FDE (fuzzy
difference equation) with quadratic term. Specifically, applying a generalization of division (g …

[PDF][PDF] Stability and periodicity of certain homogeneous second-order fractional difference equation with quadratic terms

M Garic-Demirovic, S Hrustic… - Advances in Dynamical …, 2019 - campus.mst.edu
We investigate the local and global character of the unique equilibrium point of certain
homogeneous fractional difference equation with quadratic terms. The existence of the …

Qualitative analysis of second-order fuzzy difference equation with quadratic term

Z Qianhong, O Miao, P Bairong - 2022 - dlib.phenikaa-uni.edu.vn
Here the parameters A, B∈ R+ F and the initial values x0, x− 1∈ R+ F. Utilizing a
generalization of division (g-division) of fuzzy numbers, we obtain some sufficient condition …

Local Stability and NS Bifurcation Analysis of a Positive Rational Delayed Difference Equation

I Mustafa, M Hussain - Available at SSRN 4594196 - papers.ssrn.com
In this article, we investigate the third-order rational difference equation containing positive
parameters and also check the Neimark-Sacker bifurcation and its direction. First, the …