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• W2095764889 abstract "We show that series arrays of N identical overdamped Josephson junctions have extremely degenerate dynamics. In particular, we prove that such arrays have N − 3 constants of motion for all N ⩾ 3. The analysis is based on a coordinate transformation that reduces the governing equations to an (N − 3)-parameter family of low-dimensional systems. In the weak-coupling limit, the reduced equations can be analyzed completely. Either all solutions approach the synchronous state or they converge to a continuous family of incoherent oscillations, depending on a certain parameter value. At the transitional value of this parameter, the system becomes completely integrable. Then the phase space is foliated by invariant two-dimensional tori, for any N ⩾ 3. The infinite-N limit of the system is an integro-partial differential equation with rigorously low-dimensional dynamics. It supports solitons in the integrable case, and chaotic waves in the non-integrable case." @default.
• W2095764889 created "2016-06-24" @default.
• W2095764889 creator A5029418921 @default.
• W2095764889 creator A5035633128 @default.
• W2095764889 date "1994-07-01" @default.
• W2095764889 modified "2023-10-02" @default.
• W2095764889 title "Constants of motion for superconducting Josephson arrays" @default.
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• W2095764889 doi "https://doi.org/10.1016/0167-2789(94)90196-1" @default.
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