Analysis and circuit implementation of a new four-dimensional non-autonomous hyper-chaotic system

A new four-dimensional non-autonomous hyper-chaotic system is presented by adding input signal to a hyper-chaotic system based on Lorenz system. The resulting hyper-chaotic system may have any dynamic behavior among the periodic orbits, two-tori, chaos and hyper-chaos by controlling the frequency of input signal, while the periodic orbits are more prominent. The phenomenon in well demonstrated by numerical simulations and bifurcation analysis. Finally, an analog electronic circuit is designed to implement the new system, and the experimental results of the non-autonomous hyper-chaotic circuit well agreed with the simulation results.