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Long-term behavior of solutions of the equation \dot\phi + \sin\phi=f with periodic f and the modeling of dynamics of overdamped Josephson junctions: Unlectured notes
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abstract
The method of efficient description of long-term behavior of solutions of the non-linear first order ODE \dot\phi+\sin\phi=f for arbitrary periodic $f$ is discussed. The criterion enabling one to separate and identify the qualitatively different solutions is established. The applications of the method to the modeling of dynamics of overdamped Josephson junctions in superconductors are outlined.
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Cited by 1 Pith paper
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On phase-lock area parquet in a special slow-fast limit of model of Josephson junction
In the slow-fast limit, the phase-lock areas of the RSJ Josephson junction model converge to a parquet of integer-spaced squares/strips with boundaries parallel to u±ℓ=0.
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