SINGLE WAVE-FORM SOLUTIONS FOR LINEAR ARRAYS OF JOSEPHSON-JUNCTIONS

In this paper we study the existence of single waveform solutions to s ystem of equations governing the dynamics of series arrays of identica l current biased Josephson junctions which are coupled through a share d LRC-load. We use a homotopy argument and degree theory to prove the existence of single waveform solutions which are either in-phase runni ng solution, discrete rotating waves, or clustered discrete rotating w aves in which the junctions are grouped into clusters of equal size wh ich form a discrete rotating wave.