Dynamical Analysis and Electronic Circuit Implementation of Fractional-order Chen System

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Chaos Theory and Applications
Volume:5 Issue:2
Dynamical Analysis and Electronic Circuit Implementation of Fractional-order Chen System

Dynamical Analysis and Electronic Circuit Implementation of Fractional-order Chen System

Authors : Abdullah GÖKYILDIRIM

Pages : 127-132

Doi:10.51537/chaos.1326602

View : 109 | Download : 93

Publication Date : 2023-07-31

Article Type : Research Paper

Abstract :In recent years, there has been a significant surge in interest in studies related to fractional calculus and its applications. Fractional-order analysis holds the potential to enhance the dynamic structure of chaotic systems. This study focuses on the dynamic analysis of the Chen system with low fractional-order values and its fractional-order electronic circuit. Notably, there is a lack of studies about chaotic electronic circuits in the literature with a fractional-order parameter value equal to 0.8, which makes this study pioneering in this regard. Moreover, various numerical analyses are presented to investigate the system\`s dynamic characteristics and complexity, such as chaotic phase planes and bifurcation diagrams. As anticipated, the voltage outputs obtained from PSpice simulations demonstrated good agreement with the numerical analysis.
Keywords : Chaos, Chen system, Fractional order system, bifurcation, Electronic circuit implementation

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