BIFURCATION OF FIXED-POINTS IN COUPLED JOSEPHSON-JUNCTIONS

The fixed points of the equations describing a pair of coupled Josephs on junctions are investigated and are shown to undergo an infinite num ber of bifurcations as parameters are varied. The bifurcation curves a re then analyzed in a region of parameter space where interesting dyna mical behavior is also known to occur. It is shown that the bifurcatio n curves fall into four one-parameter families,and the curves in each family are described. The paper concludes with a discussion of a conje ctured mechanism by which simultaneous bifurcations could give rise to interesting dynamical solutions.