Analysis of the Effect of White Noise on the Halvorsen System of Variable-Order Fractional Derivatives Using a Novel Numerical Method
Year: 2024
Type: article
Abstract: The Halvorsen System (HS) of Variable-Order (VO) Fractional Derivatives is a potent instrument for fractional differential equations and chaotic systems due to the influence of white noise. The study focuses on The Effect of White Noise on the Halvorsen System of (VO) Fractional Because the Halvorsen System is extensively utilized in nonlinear optics, fluid dynamics, and plasma physics, the chaos can be employed to investigate a wide array of relevant physical processes. To analyze the impact of noise we deduce that noise influences and stabilizes the chaotic Halvorsen system. We plotted numerous 3D and 2D graphical representations to explain how the white noise influences the chaotically systems. We applied these schemes to simulate the chaotic (VO) fractional Halvorsen system.
Author: Mohammed Berir1
Institutions: University of Bakhtalruda, Al Baha University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4404874516