Dynamics and Global Bifurcations in Two Symmetrically Coupled Non-Invertible Maps

Y Soula, H Jahanshahi, AA Al-Barakati, I Moroz - Mathematics, 2023 - mdpi.com
The theory of critical curves determines the main characteristics of a discrete dynamical
system in two dimensions. One important property that has garnered recent attention is the …

Dynamical behavior and bifurcations in a two-dimensional discrete chaotic system with a rational fraction

Y Soula, SS Muni, R Ouahabi - Journal of Applied Mathematics and …, 2024 - Springer
The dynamical behavior and bifurcations of a two-dimensional discrete chaotic system with
a rational fraction are investigated in this paper, the existence and stability of the fixed points …

Bifurcations in 2D spatiotemporal maps

ML Sahari, AK Taha… - International Journal of …, 2021 - World Scientific
In this work, we give theoretical and numerical analyses for local bifurcations of 2D
spatiotemporal discrete systems of the form xm+ 1, n+ 1= f (xm, n, xm+ 1, n), where f is a real …