PREDICTING ATTRACTING OUT-OF-PHASE STATES IN COUPLED JOSEPHSON JUNCTIONS

Abstract

Recent progress in understanding the dynamics and bifurcation of two coupled Josephson Junctions is numerically presented. The dependencies of the in-phase (IP) states and the anti-phase (AP) states on the parameters are shown when the coupling is symmetric. The connecting branches between the IP and AP are computed, and are found to be saddles which form the basin boundaries between the IP and AP states. A framework is presented based on a two oscillator model with asymmetric coupling which can predict the dynamics of higher dimensional systems. The behavior of out-of-phase (OP) states of n-junctions is examined using this asymmetric model when the oscillators are organized into two distinct groups.