Circuit Realization of the Fractional-Order Sprott K Chaotic System with Standard Components

Fractal and Fractional

article

Abdullah Gokyildirim¹ 

[1] Department of Electrical and Electronics Engineering, Faculty of Engineering and Natural Sciences, Bandirma Onyedi Eylul University

关键词: chaos;    fractional order;    bifurcation;    electronic circuit;    Lyapunov exponents;   

DOI  :  10.3390/fractalfract7060470

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

Interest in studies on fractional calculus and its applications has greatly increased in recent years. Fractional-order analysis has the potential to enhance the dynamic structure of chaotic systems. This study presents the implementation of a lower-order fractional electronic circuit using standard components for the Sprott K system. To our knowledge, there are no chaotic circuit realizations in the literature where the value of a fractional-order parameter is approximately 0.8, making this study pioneering in this aspect. Additionally, various numerical analyses of the system are conducted, including chaotic time series and phase planes, Lyapunov exponents, spectral entropy (SE), and bifurcation diagrams, in order to examine its dynamic characteristics and complexity. As anticipated, the voltage outputs obtained from the oscilloscope demonstrated good agreement with both the numerical analysis and PSpice simulations.

【 授权许可】

CC BY