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A Novel Fractional Chaotic System with the 3-scroll and 4-scroll Chaotic Attractors and Impact of Memory Effect
Author(s)
Karawanich, Khunanon
Date Issued
January 1, 2025
Type
Conference Paper
Abstract
In the last few decades, a fractional calculus in chaotic systems has been widely researched due to its delicacy in engineering applications. This research has proposed a novel fractional-order chaotic system with a multi-scroll chaotic attractor. The system can generate 3-scroll and 4-scroll chaotic attractors by only adjusting a fractional order. The mathematical model is described by using the Caputo derivative form. The basic dynamic is analyzed as a stability condition, Lyapunov exponent, Kaplan-Yorke dimension, etc. The memory effect is one of the unique properties of a fractional-order chaotic system. This research discussed the memory effect by using the Kernel function of Mittag-Leffler. The results reveal that the long-time simulation of the system affects the characteristic of chaotic behavior for 3-scroll and 4-scroll chaotic attractors due to the memory effect. It confirms that fractional-order systems exhibit inherent memory properties, which effectively enhance the accuracy of prediction and forecasting applications.
Citation
2025 International Technical Conference on Circuits Systems Computers and Communications Itc Cscc 2025, 2025