Author

Abdulrahman B. M. Alzahrani

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Open access Sep 2026

Investigating Bifurcation, Chaos, Multistability, and Localized Interaction Structures in the Nurshuak–Tolknay–Myrzakulov (NTM-III) Equation

In this paper, the nonlinear Nurshuak–Tolkunay–Myrkakulov (NTM-III) equation is analyzed using the methods of dynamical systems theory and exact solution techniques. The NTM-III model is reduced to a second-order nonlinear ordinary differential equation by using appropriate reductions, then written as a planar Hamilton...

Abdulrahman B. M. Alzahrani · Symmetry · 0 citations

Open access Sep 2026

Comparative Study of Constant- and Variable-Order Fractional Dynamics with RBFNN Approximation

The analysis of the complexity of dynamical systems generally presents a major dilemma between including the complexity of memory effects and being computationally efficient. For this purpose, this study proposes an unusual three-dimensional variable-order fractional chaotic system with absolute-value nonlinearity, whi...

Abdulrahman B. M. Alzahrani, Mohamed A. Abdoon · Fractal and Fractional · 0 citations

Open access Aug 2026

Dynamics of a Novel 4D Chaotic System: Stability, Bifurcation, Chaos, and Complexity Analysis for Constant and Variable Fractional Orders

Four-dimensional chaotic systems have garnered significant attention due to their complex nonlinear dynamics, high-dimensional complexity, and wide range of applications in science and engineering. This paper proposes and investigates a novel four-dimensional chaotic system in both constant- and variable-order framewor...

Abdulrahman B. M. Alzahrani, Mohamed A. Abdoon · Mathematics · 0 citations