General solution of overdamped Josephson junction equation in the case of phase-lock
Mathematical Physics
2007-05-23 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0705.2479,
title = {General solution of overdamped Josephson junction equation in the case of phase-lock},
author = {S. I. Tertychniy},
journal= {arXiv preprint arXiv:0705.2479},
year = {2007}
}
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28 pages