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Bifurcation,chaotic phenomena and control of chaos in a one—dimensional discrete Josephson lattice
引用本文:杜浩晨,廖红印,周世平.Bifurcation,chaotic phenomena and control of chaos in a one—dimensional discrete Josephson lattice[J].中国物理 B,2003,12(5):557-561.
作者姓名:杜浩晨  廖红印  周世平
作者单位:Department of Physics, Shanghai University, Shanghai 200436, China
基金项目: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.
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 state. 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 embadded 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.

关 键 词:混沌控制  分形  一维离散系统  约瑟夫森晶格  弱连接  超导电性  磁性  Josephson晶格
收稿时间:2002-09-25

Bifurcation, chaotic phenomena and control of chaos in a one-dimensional discrete Josephson lattice
Du Hao-Chen,Liao Hong-Yin and Zhou Shi-Ping.Bifurcation, chaotic phenomena and control of chaos in a one-dimensional discrete Josephson lattice[J].Chinese Physics B,2003,12(5):557-561.
Authors:Du Hao-Chen  Liao Hong-Yin and Zhou Shi-Ping
Institution:Department of Physics, Shanghai University, Shanghai 200436, China
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.
Keywords:Josephson junction  chaos  bifurcation  controlling chaos
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