A Novel Fractional Chaotic System with the 3-scroll and 4-scroll Chaotic Attractors and Impact of Memory Effect

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dc.contributor.authorKarawanich, Khunanon
dc.contributor.authorPrommee, Pipat
dc.date.accessioned2026-08-06T10:49:12Z
dc.date.available2026-08-06T10:49:12Z
dc.date.issued2025-01-01
dc.description.abstractIn 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.
dc.identifier.citation2025 International Technical Conference on Circuits Systems Computers and Communications Itc Cscc 2025, 2025
dc.identifier.doi10.1109/ITC-CSCC66376.2025.11137641
dc.identifier.other2-s2.0-105016377288
dc.identifier.urihttps://dspace.kmitl.ac.th/handle/123456789/16445
dc.source2025 International Technical Conference on Circuits Systems Computers and Communications Itc Cscc 2025
dc.subjectCaputo derivative
dc.subjectfractional-order chaotic system
dc.subjectKernel function
dc.subjectMemory effect
dc.subjectMittag-Leffler
dc.subjectMulti-scroll
dc.titleA Novel Fractional Chaotic System with the 3-scroll and 4-scroll Chaotic Attractors and Impact of Memory Effect
dc.typeConference Paper

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