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Chaos in extended linear arrays of Josephson weak links

M. A. H. Nerenberg, R. J. Spiteri, James A. Blackburn

DOI 10.1103/PhysRevB.40.11294 · Physical Review B

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Abstract

Extended linear arrays of interacting Josephson weak links are studied by numerical simulation using the resistively shunted junction model. The minimum coupling strength for chaotic behavior is determined as a function of the number of links. This strength is found to diminish steadily with increasing number, despite the inclusion of only nearest-neighbor interaction. The implications for Josephson technology are briefly discussed. Mathematically, the results are confirmation of the Ruelle-Takens scenario for chaos.

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