Holmes型杜芬振子的Pyragas时滞反馈混沌控制研究

A Chaos Control Research on Duffing Oscillator of Holmes type by Pyragas Delayed Feedback Method

受迫杜芬系统是一个常见的系统,许多力学问题的数学模型都可归结为杜芬方程。侧重研究外激频率f对系统混沌的影响,并进一步利用Pyragas时滞反馈法实现系统的混沌控制。

The forced Duffing system is a familiar system. Many mathematical models of mechanics problems may come down to the forced Duffing system. In this paper, we will study the influence of an outside frequency f on system chaos and the realization of the control over the system chaos by Pyragas delayed feedback control method.