| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Phase Locking and Chaos in a Josephson Junction Array Shunted by a Common Resistance |
| ZHOU Tie-Ge, MAO Jing, LIU Ting-Shu, LAI Yue, YAN Shao-Lin |
| Department of Electronics, Nankai University, Tianjin 300071 |
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| Cite this article: |
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ZHOU Tie-Ge, MAO Jing, LIU Ting-Shu et al 2009 Chin. Phys. Lett. 26 077401 |
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Abstract The dynamics of a Josephson junction array shunted by a common resistance are investigated by using numerical methods. Coexistence of phase locking and chaos is observed in the system when the resistively and capacitively shunted junction model is adopted. The corresponding parameter ranges for phase locking and chaos are presented. When there are three resistively shunted junctions in the array, chaos is found for the first time and the parameter range for chaos is also presented. According to the theory of Chernikov and Schmidt, when there are four or more junctions in the array, the system exhibits chaotic behavior. Our results indicate that the theory of Chernikov and Schmidt is not exactly appropriate.
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| Keywords:
74.81.Fa
74.50.+r
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Received: 20 March 2009
Published: 02 July 2009
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| PACS: |
74.81.Fa
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(Josephson junction arrays and wire networks)
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74.50.+r
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(Tunneling phenomena; Josephson effects)
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[8] Chernikov A A and Schmidt G 1994 Phys. Rev. E 50 3436
[9] Ott E et al 1990 Phys. Rev. Lett. 64 1196 |
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