Abstract
A study was performed on synchronization of coupled rotators. It was shown that the resistively shunted junction (RSJ) equations describing a ladder array of overdamped, critical-current disordered Josephson junctions that are current biased along the ring of the ladder can be mapped onto a Kuramoto model. It was found that including the effects of junction capacitance can lead to a discontinuous synchronization transition as the strength of the coupling between neighbouring junctions is smoothly varied.
| Original language | English (US) |
|---|---|
| Article number | 026216 |
| Pages (from-to) | 262161-2621614 |
| Number of pages | 2359454 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 67 |
| Issue number | 2 2 |
| State | Published - Feb 2003 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics