Abstract:

In order to generate complex chaos attractors, an automatically switching system which consists of three subsystems was constructed. Through the analog switch, the three subsystems can automatically switch in the system. The characteristics of the chaotic system and  the basic characteristics of the system, such as the equilibrium point, the fractal dimension, dissipation, were analyzed through Lyapunov index and the bifurcation diagram. The switch function and the analog circuit switching the chaotic system were designed. Through the circuit the three chaotic systems can automatically switch. Experiments results are consistent with the analysis results of computer simulation, Lyapunov exponent and bifurcation diagram.

Key words: chaotic system; switch function; analog circuit; switch; bifurcate figure