An Analytical Study for Controlling Chaos in Duffing Oscillator with Weak Periodic Perturbation

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2001,（3）
• 所属期刊栏目: CENERAL
• 页码范围: 334-336
• 页数: 3页
• 分类号: 04
• 语种: 英文

摘要

We obtain a general unstable periodic solution near the homoclinic orbit of the Duffing oscillator with weak periodic perturbation by using the direct perturbation technique. Theoretical analysis reveals that the stable periodic orbits are embedded in the Melnikov chaotic attractor. The corresponding numerical results show that fitting control parameters into the stability conditions can control chaos in the system, and the phase difference between the two sinusoidal forces added to the Duffing equation plays an important role in controlling chaos.