【摘要】 提出了一种抑制混沌的方法,通过对混沌动力系统增加一个基于系统变量的正反馈控制项,成功而快速引导系统从混沌运动转化为低周期运动。利用Melnikov方法分析了该控制方法在Duffing振子中实现混沌抑制的控制机理,得到了结论:正反馈项可以消除混沌系统的稳定流形和不稳定流形的横截相交。仿真表明,该方法简单而广泛适用。更多还原

【Abstract】 A method was proposed to suppress chaos by adding a positive feedback term to chaotic dynamics. Melnikov’s perturbation method was used to explain the control mechanism of chaos suppression in the Duffing’s oscillator. Numerical simulations demonstrated the effectiveness of Melnikov’s analyses. It is concluded that the positive term can make the stable manifold and the unstable manifold non-trans verse in the controlled dynamics, thus to suppress chaos.更多还原