Oscillatory regimes in a 1D Josephson junction array with a nonlocal delayed coupling

We performed the numerical investigation of the one-dimensional series Josephson junction array with electromagnetic coupling and taking into account the delay. In general case of nonzero delay the equations for fast and slow phases have been obtained in the high-frequency (HF) approximation. The regimes of oscillations of the junction array have been studied at the different position on the current-voltage characteristic (IVC), including on its reverse branch. The same investigation has been performed for the systems of equations without delay of interaction and for the arbitrary bias current. Several stationary regimes of oscillations have been observed: synchronous oscillations, regime of traveling wave, regime of partial transition of junctions to the superconducting state and also chimera states.