Abstract:

To enhance the complexity of the topological structure of the Liu system, the attractors of Liu system were changed from two-wings to four-wings through making the  z axis doubly polarized. First, theoretical analyses and numerical simulation were carried out and the Lyapunov exponent spectrum and bifurcation diagram were depicted. Then the four-wings system was realized using EDA technology based upon FPGA. Experimental results show that the experimental phase diagram was in agreement with the simulation, all with a four-wing attractor. The correctness of the theoretical analyses and numerical simulation were proved.

Key words: hyperchaotic system; four-wings attractors; Lyapunov exponent