We show that a 2N-junction SQUID (superconducting quantum interference device) made of 2N overdamped, shunted, identical junctions may be described as a system having only six degrees of freedom for any N ≥ 3. This is achieved by means of the reduction introduced by Watanabe and Strogatz [Physica D 74 (1994) 197] for series biased arrays. In our case six rather than three degrees of freedom are necessary to describe the system, due to the requirement of phase quantization along the superconducting loop constituting the device. Generalization to multijunction parallel arrays is straightforward.
Constants of motion in the dynamics of a 2N-junction SQUID
PAGANO, Sergio
1995-01-01
Abstract
We show that a 2N-junction SQUID (superconducting quantum interference device) made of 2N overdamped, shunted, identical junctions may be described as a system having only six degrees of freedom for any N ≥ 3. This is achieved by means of the reduction introduced by Watanabe and Strogatz [Physica D 74 (1994) 197] for series biased arrays. In our case six rather than three degrees of freedom are necessary to describe the system, due to the requirement of phase quantization along the superconducting loop constituting the device. Generalization to multijunction parallel arrays is straightforward.File in questo prodotto:
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