An Analytical Study for Controlling Chaos in Duffing Oscillator with Weak Periodic Perturbation
FANG Jian-Shu1,2 , HAI Wen-Hua2 , ZHANG Xi-Li2
1 Department of Physics, Zhuzhou Teacher’s College, Zhuzhou 412007
2 Department of Physics, Hu’nan Normal University, Changsha 410081
An Analytical Study for Controlling Chaos in Duffing Oscillator with Weak Periodic Perturbation
FANG Jian-Shu1,2 ;HAI Wen-Hua2 ;ZHANG Xi-Li2
1 Department of Physics, Zhuzhou Teacher’s College, Zhuzhou 412007
2 Department of Physics, Hu’nan Normal University, Changsha 410081
关键词 ：
05.45.+b
Abstract ： 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.
Key words ：
05.45.+b
出版日期: 2001-03-01
引用本文:
FANG Jian-Shu;HAI Wen-Hua;ZHANG Xi-Li. An Analytical Study for Controlling Chaos in Duffing Oscillator with Weak Periodic Perturbation[J]. 中国物理快报, 2001, 18(3): 334-336.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2001/V18/I3/334
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2001, Vol. 18 
