Electronic Circuit Implementations of a Fractional-Order Chaotic System and Observing the Escape from Chaos

Studies on fractional-order chaotic systems have increased significantly in the last decade. This paper presents Rucklidge chaotic system's dynamical analyses and its fractional-order circuit implementations. Component values required for realizing the circuit of the fractional-order system are calculated for different fractional-orders. The feasibility of the attractor is examined by implementing its electronic circuit with a fractional-order module. The module is constructed based on the Diyi-Chen model since it is easier to implement and cost-effective. In electronic circuit implementations, it is observed that the system's chaotic state disappears as the fractional degree decreases. Numerical and circuit simulation results are consistent well with the hardware experimental results.

Automated summary

This paper presents the dynamical analysis and fractional-order circuit implementation of the Rucklidge chaotic system. The component values required for the fractional-order system are calculated, and the feasibility of the attractor is examined using an electronic circuit with a fractional-order module. The experimental results show that the chaotic state of the system disappears as the fractional degree decreases.