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Single waveform solutions for linear arrays of Josephson junctions

✍ Scribed by D.G Aronson; Y.S Huang

Book ID
104297106
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
842 KB
Volume
101
Category
Article
ISSN
0167-2789

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✦ Synopsis

In this paper we study the existence of single waveform solutions to system of equations governing the dynamics of series arrays of identical current biased Josephson junctions which are coupled through a shared LRC-load. We use a homotopy argument and degree theory to prove the existence of single waveform solutions which are either in-phase running solution, discrete rotating waves, or clustered discrete rotating waves in which the junctions are grouped into clusters of equal size which form a discrete rotating wave.

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The phase-locking stability is investigated theoretically in two structures: linear arrays of Josephson junctions shunted by resistive load and arrays closed into superconducting loop. In both cases the quasi-identical junctions are supposed to be in arrays. The stability as a function of spread in