BOUND-STATES, BIFURCATIONS AND STATIC CHAOS IN JOSEPHSON LATTICES

Static properties of lattices of Josephson junctions in an applied magnetic field h and with an external current gamma are studied. Effective stability criteria for the bound states of the magnetic flux and for emerging chaotic distributions of the magnetic field are suggested. It is shown that only stable periodic states survive when gamma is large and that they exist in narrow intervals of the applied magnetic field when conditions for emerging chaotic distributions are met. Thus we predict regularly distributed sharp peaks on a low chaotic background in the dependence of the critical external current gamma(c) on h.