吉林大学学报(理学版)

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Josephson结阵列中的超混沌行为及超混沌控制

安淑君1, 徐艾诗2, 冯玉玲1   

  1. 1. 长春理工大学 物理系, 长春 130022; 2. 吉林大学 动物科学学院, 长春 130062
  • 收稿日期:2015-07-29 出版日期:2016-01-26 发布日期:2016-01-19
  • 通讯作者: 冯玉玲 E-mail:FYL0819@aliyun.com

Hyperchaotic Behaviors and Controlling Hyperchaosin Josephson Junctions Array

AN Shujun1, XU Aishi2, FENG Yuling1   

  1. 1. Department of Physics, Changchun University of Science and Technology, Changchun 130022, China;2. College of Animal Sciences, Jilin University, Changchun 130062, China
  • Received:2015-07-29 Online:2016-01-26 Published:2016-01-19
  • Contact: FENG Yuling E-mail:FYL0819@aliyun.com

摘要:

考虑由3个本征电阻电容电感分路的Josephson结串联组成阵列的动力学行为, 并根据线性反馈理论提出控制该阵列中超混沌的方案. 数值模拟结果表明: 由于参数区间不同, 因此该阵列系统可处于周期、 混沌或超混沌状态; 该方案可使阵列中的超混沌状态进入稳定的周期状态, 通过调节反馈强度可获得具有不同周期数稳定的周期状态.

关键词: 超混沌控制, 本征, Josephson结阵列, Lyapunov指数

Abstract:

We considered dynamical behaviors in a series array consisting of three intrinsic resistivecapacitiveinductiveshunted (IRCLshunted) Josephson junctions (IRCLSJJs), and proposed a scheme to control hyperchaos in the array based on the linear feedback theory. Numerical simulation results show that the array system can be in periodic, chaotic or hyperchaotic states with different parameter ranges; the scheme can make hyperchaotic states of the array enter the stable periodic states. And the stable periodic states with different period numbers can be obtained by adjusting the feedback intensity.

Key words: controlling hyperchaos; intrinsic, Josephson junction array; Lyapunov exponent

中图分类号: 

  • O415.5