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研究了用系统变量组成控制函数实现混沌控制的方法,以Lorenz系统为例给出了理论分析和数值模拟结果。数值计算和理论分析表明:当控制强度的绝对值超过控制阈值后,系统中至少有一个不稳定平衡点转化为渐近稳定的平衡点,从而使混沌运动转化并最终精确地维持在系统的平衡状态。
The method of controlling the chaos with the composition of system variables is studied. The theoretical analysis and numerical simulation are given based on Lorenz system. Numerical calculation and theoretical analysis show that when the absolute value of the control strength exceeds the control threshold, at least one unstable equilibrium point in the system is transformed into an asymptotically stable equilibrium point, so that the chaotic motion is transformed and finally precisely maintained in the system balance status.