Constants of motion in the dynamics of a 2N-junction SQUID

C. Nappi; G. Filatrella; S. Pagano

doi:10.1016/0375-9601(95)00572-k

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arXiv · supr-con/9507005

Constants of motion in the dynamics of a 2N-junction SQUID

C. Nappi·G. Filatrella·S. Pagano

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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 6 degrees of freedom for any N > 2. This is achieved by means of the reduction introduced by Watanabe and Strogatz (Physica D, Vol. 74, (1994) p. 197) for series biased arrays. In our case 6 rather than 3 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.

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C. Nappi, G. Filatrella, S. Pagano. 1995-07-18. Constants of motion in the dynamics of a 2N-junction SQUID. https://doi.org/10.1016/0375-9601(95)00572-k

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