Coexistence of Multiple Attractors in a Novel Simple Jerk Chaotic Circuit With CFOAs Implementation

A novel, simple Jerk chaotic circuit with three current feedback operational amplifiers included (CFOA-JCC) is proposed, which has a simpler circuit structure, fewer components, but higher frequency characteristics. The dynamic behaviors of CFOA-JCC are analyzed, including equilibrium, stability, Lyapunov exponent, bifurcation diagram, offset boosting, and phase diagram. Furthermore, the frequency spectrum characteristic of the ordinary op-amps Jerk chaotic circuit was compared with CFOA-JCC under the same circuit parameters, and the chaotic attractor frequency of CFOA-JCC can reach about 650 kHz, much better than that of ordinary op-amps (12 kHz). Numerical simulation shows that CFOA-JCC has coexisting attractors, verified by hardware circuit experiments.

Automated summary

A novel and simple Jerk chaotic circuit with three current feedback operational amplifiers included (CFOA-JCC) is proposed in this paper, which has a simpler circuit structure and fewer components but higher frequency characteristics. The dynamic behaviors of CFOA-JCC, such as equilibrium, stability, Lyapunov exponent, bifurcation diagram, offset boosting, and phase diagram, are analyzed. Furthermore, the frequency spectrum characteristic of CFOA-JCC is compared with that of the ordinary op-amps Jerk chaotic circuit, and the results show that CFOA-JCC has a much higher chaotic attractor frequency. Numerical simulation and hardware circuit experiments confirm the coexisting attractors of CFOA-JCC.