Topological horseshoe analysis and circuit realization for a fractional-order Lu system

The paper first discusses a newly reported fractional-order Lu system of order as low as 2.7 and shows its chaotic characteristics by numerical simulations. Then by using the topological horseshoe theory and computer-assisted proof, the existence of chaos in the system is verified theoretically. Finally, an analog hardware circuit is made for the fractional-order system, and the observed results demonstrate that the fractional-order Lu system is chaotic in physical experiment.