A high-precision numerical method to simulating the fractional-order EI Niño chaotic systems with Riemann–Liouville fractional derivative. Issue 1 (March 2023)

• Record Type: Journal Article
• Authors: Zhang, Ke-Qiang; Cao, Xue-Jun; Wang, Yu-Lan
• Is Part Of: Journal of low frequency noise, vibration, and active control. Volume 42:Issue 1(2023)
• Page Start: 134
• Page End: 145
• Publication Date: 2023-03
• Subjects: EI Niño chaotic systems -- Fractional differential equations -- Numerical simulation -- Novel complex dynamic behaviors; Vibration -- Periodicals; Noise -- Periodicals; Sound -- Periodicals; Damping (Mechanics) -- Periodicals; Damping (Mechanics); Noise; Sound; Vibration; Periodicals; 620.205
• DOI: 10.1177/14613484221119275
• Languages: English
• ISSNs: 1461-3484

Abstract

Chaotic systems arise everywhere in control theory and nonlinear vibration. This paper uses a high-precision numerical approach for capturing chaotic attractors of the fractional EI Ni ñ o chaotic systems. The numerical results indicate that some of the chaotic attractors of fractional-order systems are topologically equivalent to those discovered in the integer-order systems, and some unusual attractors of fractional EI Ni ñ o chaotic systems are found by using the present method.