Chin. Phys. Lett.  2009, Vol. 26 Issue (7): 077401    DOI: 10.1088/0256-307X/26/7/077401
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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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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.
Keywords: 74.81.Fa      74.50.+r     
Received: 20 March 2009      Published: 02 July 2009
PACS:  74.81.Fa (Josephson junction arrays and wire networks)  
  74.50.+r (Tunneling phenomena; Josephson effects)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/7/077401       OR      https://cpl.iphy.ac.cn/Y2009/V26/I7/077401
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ZHOU Tie-Ge
MAO Jing
LIU Ting-Shu
LAI Yue
YAN Shao-Lin
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[8] Chernikov A A and Schmidt G 1994 Phys. Rev. E 50 3436
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