Mode-locking, hysteresis and chaos in coupled Josephson junctions

✍ Scribed by Shantilal Das; Sujay Datta; Deshdeep Sahdev

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 892 KB
• Volume: 101
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(96)00231-x

✦ Synopsis

We study the dynamics of a triangular plaquette of underdamped Josephson j unctions driven by DC's, at zero temperature and in zero magnetic field. We plot the current-voltage characteristics numerically along three different directions in the relevant parameter space. In two of these cases, the I-V curve contains multiple hysteresis loops, while in the third, the system lurther displays the period-doubling route to chaos. We try to understand these I-V curves in terms of the phenomenon of mode-locking and of the existence of six special rays, on which the symmetry of the system forces mathematically constrained solutions. Finally, we interpret several aspects of the system's behaviour in terms of vortices.