Oscillatory Regimes in a 1D Josephson Junction Array with a Nonlocal Delayed Coupling

摘要

We have numerically investigated a series array of electromagnetically coupled Josephson junctions considering the coupling delay. In the general case of a nonzero delay, we have derived equations for the slow and fast phases in the low-frequency approximation. We have studied the regimes of oscillations of a Josephson junction array for different positions of the bias point on the current-voltage characteristics (including its reverse branch). Similar analysis has been performed for systems of equations without coupling delay and for an arbitrary bias current. Several regimes of steady-state oscillations have been detected, i.e. synchronous oscillations, traveling wave regime, regime of partial switching-off of junctions, and chimera states.