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Warp of the Invariant Circle and Onset of Chaos in Josephson Junction Equation |
| QIAN Min 1,2;WANG Jia-Zeng1 |
| 1Mathematics Department, Shaoxing University, Shaoxing 312002School of Mathematical Sciences, Peking University, Beijing 100871 |
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| Cite this article: |
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QIAN Min, WANG Jia-Zeng 2007 Chin. Phys. Lett. 24 1845-1848 |
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Abstract The dynamics of the dc and ac driving Josephson junction equation is studied in terms of the two-dimensional Poincare map. The smooth invariant circle on the phase cylinder in over-damped case α>2 loses smoothness as α 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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| Keywords:
05.45.Pq
05.45.Ac
74.50.+r
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Received: 24 March 2007
Published: 25 June 2007
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| PACS: |
05.45.Pq
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(Numerical simulations of chaotic systems)
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05.45.Ac
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(Low-dimensional chaos)
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74.50.+r
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(Tunneling phenomena; Josephson effects)
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