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

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.