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

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