By using the state feedback control on Lü attractor, a fivedimensional controlled chaotic system is discovered by adding two new state feedback controllers. This new system exhibits sufficient and complex dynamical behaviors. Some dynamics characteristics are explored in detail by Lyapuvov exponents, phase portraits and power spectrum. Numerical simulations show that the system is in chaotic, and periodic state separately as the change in control gain of feedback controller.
韩峰,唐驾时.一个五维受控混沌系统的动力学行为[J].动力学与控制学报,2010,8(3):250~253; Han Feng, Tang Jiashi. Dynamical behaviors of a fivedimensional controlled chaotic system[J]. Journal of Dynamics and Control,2010,8(3):250-253.