Asymptotic properties of Arnold tongues and Josephson effect

zbMath1347.37084arXiv1305.6746MaRDI QIDQ2876646

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Publication date: 19 August 2014

Full work available at URL: https://arxiv.org/abs/1305.6746

zbMATH Keywords

rotation numberArnold tonguesJosephson effectdynamical system on the torus

Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Asymptotic expansions of solutions to ordinary differential equations (34E05) Rotation numbers and vectors (37E45)

Related Items (10)

On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation* ⋮ On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect ⋮ On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation ⋮ On determinants of modified Bessel functions and entire solutions of double confluent Heun equations ⋮ On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On families of constrictions in the model of an overdamped Josephson junction ⋮ On the adjacency quantization in an equation modeling the Josephson effect ⋮ Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction

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