中国物理B ›› 2003, Vol. 12 ›› Issue (5): 557-561.doi: 10.1088/1009-1963/12/5/318

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

Bifurcation, chaotic phenomena and control of chaos in a one-dimensional discrete Josephson lattice

杜浩晨, 廖红印, 周世平   

  1. Department of Physics, Shanghai University, Shanghai 200436, China
  • 收稿日期:2002-09-25 修回日期:2002-12-30 出版日期:2005-03-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the Foundation for University Key Teachers from the Ministry of Education of China, and the Foundation of Shanghai Leading Academic Discipline Program, China.

Bifurcation, chaotic phenomena and control of chaos in a one-dimensional discrete Josephson lattice

Du Hao-Chen (杜浩晨), Liao Hong-Yin (廖红印), Zhou Shi-Ping (周世平)   

  1. Department of Physics, Shanghai University, Shanghai 200436, China
  • Received:2002-09-25 Revised:2002-12-30 Online:2005-03-16 Published:2005-03-16
  • Supported by:
    Project supported by the Foundation for University Key Teachers from the Ministry of Education of China, and the Foundation of Shanghai Leading Academic Discipline Program, China.

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摘要： We have investigated the fluxon dynamical behaviour in a one-dimensional parallel array of small Josephson junctions in the presence of an externally applied magnetic field. In the case of high damping, the system is in stable states. On the contrary, in the case of low damping, bifurcation and chaotic phenomena have been observed. Control of chaos is achieved by a delayed feedback mechanism, which drives the chaotic system into a selected unstable periodic orbit embedded within the associated strange attractor. It is attractive to control chaos to a periodic state, rather than operating always outside the device parameter space where chaos dominates.

Abstract: We have investigated the fluxon dynamical behaviour in a one-dimensional parallel array of small Josephson junctions in the presence of an externally applied magnetic field. In the case of high damping, the system is in stable states. On the contrary, in the case of low damping, bifurcation and chaotic phenomena have been observed. Control of chaos is achieved by a delayed feedback mechanism, which drives the chaotic system into a selected unstable periodic orbit embedded within the associated strange attractor. It is attractive to control chaos to a periodic state, rather than operating always outside the device parameter space where chaos dominates.

Key words: Josephson junction, chaos, bifurcation, controlling chaos

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
74.50.+r (Tunneling phenomena; Josephson effects)