General solution of overdamped Josephson junction equation in the case of phase-lock

2007/05/17 by S. I. Tertychniy, Tertychniy, S. I.
Engineering · Mathematics · Physics and Astronomy · #34M05 #Advanced Electrical Measurement Techniques #Advanced Fiber Laser Technologies #FOS: Physical sciences #Mathematical Physics (math-ph) #Mechanical and Optical Resonators #math-ph #math.MP #msc:34M05

paper · pdf · doi:10.48550/arxiv.0705.2479

28 pages

arxiv created 2007/05/17 · openalex publication_date 2007/05/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The first order nonlinear ODE d phi(t)/d t + sin phi(t)=B+A cos(omega t), (A,B,omega are real constants) is investigated. Its general solution is derived in the case of the choice of parameters ensuring the phase-lock mode. It is represented in terms of Floquet solution of double confluent Heun equation.

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