N-wing attractors were first obtained by introducing a nonlinear function on the simplified Lorenz system in this paper. The grid multiwing attractors were then realized through switching the control function in the z direction. Moreover, the dynamical characteristics of the Lorenz system were studied by the attractor phase diagram, dissipation, equilibrium points, bifurcation diagram and Poincaré section. The results show that the simplified Lorenz system exhibited a rich dynamical behaviors. Finally, the analog circuit of the system was designed and developed. The grid multiwing attractors were observed through the oscilloscope, and the physical implementation of chaotic circuit was verified. It is found that the results of circuit experiment and numerical simulation were accordant.
孙克辉,傅元理.简化Lorenz系统多翅膀混沌吸引子的设计与电路实现[J].动力学与控制学报,2016,14(5):395~400; Sun Kehui, Fu Yuanli. Design and circuit implementation of the simplified Lorenz multiwing chaotic attractor[J]. Journal of Dynamics and Control,2016,14(5):395-400.