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Warp of the Invariant Circle and Onset of Chaos in Josephson Junction Equation
作者姓名:钱敏  王家赠
作者单位:[1]Mathematics Department, Shaoxing University, Shaoxing 31200 [2]School of Mathematical Sciences, Peking University, Beijing 100871
基金项目:Supported by the National Natural Science Foundation of China under Grant Nos 10305007, 10271009, and 10401007.
摘    要:The dynamics of the dc and ac driving Josephson junction equation is studied in terms of the two-dimensional Poincaré map. The smooth invariant circle on the phase cylinder in over-damped case a ) 2 loses smoothness as a decreases and becomes a strange attractor eventually. This triggers two kinds of chaos, one occurs in the regions between two Arnold tongues and the other occurs within the tongues.

关 键 词:不变量圆  约瑟夫森效应  混沌理论  方程式
收稿时间:2007-3-24
修稿时间:2007-03-24

Warp of the Invariant Circle and Onset of Chaos in Josephson Junction Equation
QIAN Min,WANG Jia-Zeng.Warp of the Invariant Circle and Onset of Chaos in Josephson Junction Equation[J].Chinese Physics Letters,2007,24(7):1845-1848.
Authors:QIAN Min  WANG Jia-Zeng
Institution:Mathematics Department, Shaoxing University, Shaoxing 31200School of Mathematical Sciences, Peking University, Beijing 100871
Abstract:
Keywords:05  45  Pq  05  45  Ac  74  50  +r
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