含参Sprott-O混沌系统的直接延迟反馈控制

Delayed Feedback Control the Chaos of the Sprott-O System with Parameters

利用非线性动力学理论,讨论了带有参数的Sprott-O系统的混沌特性.利用数值方法得到系统的混沌吸引子和周期态.在(2.65,2.95)区间内,运用全局分岔图和Lyapunov指数图准确地表征了系统在此区间内丰富的非线性行为.通过局部放大的全局分岔图,发现系统发生了倒倍周期分岔现象.最后应用直接延迟反馈法对系统的混沌运动进行了控制,使系统的混沌运动控制到稳定的低周期运动状态.

In this paper, the chaotic characters of modified Sprott-O system were studied base on the nonlinear dynamical theory . By introducing the numerical methods, the chaotic attractor and periodical stations were shown. The dynamic behavior of Sprott-O system was presented by the global bifurcation graph, the Lyapunov exponent and poincare section when c∈（2.65, 2.95） . Finally the system was controlled by the time delay feedback control method, which makes the system to be low periodical orbit.