This article introduced a new Lorenzlike system of threedimensional quadratic autonomous ordinary differential equations. For theoretical analysis, the Lyapunov criterion was applied to study the stability of the equalibria of the system. Based on this, numerical simulations indicated that the considered system may display abundant dynamical behaviour, such as chaotic and various periodic motions. Moreover,the effect of two key parameters on the stability of the system was investigated,and the forming mechanism of the chaotic attractor was studied via constructing a controller of the system.
王琳,倪樵,刘攀,黄玉盈.一种新的类Lorenz系统的混沌行为与形成机制[J].动力学与控制学报,2005,3(4):1~6; Wang Lin, Ni Qiao, Liu Pan, Huang Yuying. Chaos and its forming mechanism of a new Lorenzlike system[J]. Journal of Dynamics and Control,2005,3(4):1-6.