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含Josephson结电路的混沌形成过程
引用本文:谢艳云,苟向锋.含Josephson结电路的混沌形成过程[J].兰州铁道学院学报,2006,25(6):46-48.
作者姓名:谢艳云  苟向锋
作者单位:兰州交通大学数理与软件工程学院 甘肃兰州730070
摘    要:用数值模拟方法研究了含Josephson结电路的动力学行为.根据电路模型和基尔霍夫定律建立系统的动力学方程,求出系统的平衡点,利用系统的相平面图、分岔图和Lyapunov指数图分析系统的混沌形成过程.为在此系统中避免混沌提供了直接的线索,为Josephson结器件稳定工作提供了有价值的参考.

关 键 词:Josephson结  分岔图  Lyapunov指数  倍周期分岔
文章编号:1001-4373(2006)06-0046-03
收稿时间:2006-09-13
修稿时间:2006年9月13日

Routes to Chaos of Josephson Junction Circuit
Xie Yanyun,Gou Xiangfeng.Routes to Chaos of Josephson Junction Circuit[J].Journal of Lanzhou Railway University,2006,25(6):46-48.
Authors:Xie Yanyun  Gou Xiangfeng
Institution:School of Mathematics, Physics and Software Engineering, l.anzhou Jiaotong University, l.anzhou 730070, China
Abstract:The complex dynamics characters of Josephson junction circuit are investigated by numerical simulations.The dynamics equation and the state equation of Josephson junction circuit are established according to the circuit model and Kichhoff's laws.By the phase portrait,global bifurcation diagrams and Lyapunov exponents map,the chaos forming process of the system is studied under the presented system parameters.This provides straight clue to avoid chaos and valuable information for stable operation in Josephson junction devices.
Keywords:Josephson junction  bifurcation diagrams  Lyapunov exponents  period-doubling bifurcation
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