Phase Locking and Chaos in a Josephson Junction Array Shunted by a Common Resistance

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2009,（7）
• 页码范围: 287-289
• 页数: 3页
• 语种: 英文

摘要

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 pre-sented. 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.