Abstract：For many difficulties existing in the realization of a chaotic system construction model and a circuit,and finding the modeling rules of a chaotic system,a novel three-variable simple chaotic system containing only one nonlinear variables is put forward,and the dynamical characteristics of the new system is studied. The Lyapunov spectrum,the Lyapunov index and spectra dimension,bifurcation diagrams,time domain waveform,and attractor phase diagram are obtained. The effects of the system dynamic behavior on different regulation coefficients are investigated. The realization hardware circuit of this chaotic system was designed. The numerical simulation results and circuit experiment results have a good agreement. And the chaotic system dynamics behavior only depend on the system regulation coefficient.

Keyword：simple chaotic system;Lyapunov exponent;circuit realization;regulation coefficient;