| Warp of the Invariant Circle and Onset of Chaos in Josephson Junction Equation |
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| 引用本文： | 钱敏 王家赠. Warp of the Invariant Circle and Onset of Chaos in Josephson Junction Equation[J]. 中国物理快报, 2007, 24(7): 1845-1848 |
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| 作者姓名： | 钱敏 王家赠 |
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| 作者单位： | [1]Mathematics Department, Shaoxing University, Shaoxing 31200 [2]School of Mathematical Sciences, Peking University, Beijing 100871 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos 10305007, 10271009, and 10401007. |
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| 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.
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| 关 键 词： | 不变量圆 约瑟夫森效应 混沌理论 方程式 |
| 收稿时间： | 2007-03-24 |
| 修稿时间： | 2007-03-24 |
Warp of the Invariant Circle and Onset of Chaos in Josephson Junction Equation |
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| 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 |
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| Authors: | QIAN Min WANG Jia-Zeng |
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| Affiliation: | Mathematics Department, Shaoxing University, Shaoxing 31200School of Mathematical Sciences, Peking University, Beijing 100871 |
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| Abstract: | |
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| Keywords: | 05.45.Pq 05.45.Ac 74.50.+r |
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