Analysis and circuit implementation for a novel fractional-order hyperchaotic system based on chen system

Abstract

This paper firstly discusses a newly reported fractional-order hyperchaotic system, which is based on the Chen system. Its dynamic characteristics are observed through investigating the Lyapunov exponents diagrams, bifurcation diagrams, and phase orbits diagrams. Then, a novel system based on the fractional-order hyperchaotic system is also discussed, and an analog circuit is designed to verify the numerical results of the system. The experimental results reveal that hyper-chaos can be generated in the novel fractional order system, when the order of the system is as low as 3.6.