We observe the multiclustered oscillation death and chimeralike states in an array of Josephson junctions under a combination of self-repulsive and cross-attractive mean-field interaction when each isolated junction is in a bistable state, a coexisting fixed point and an oscillatory state. We locate the parameter landscape of the multiclustered oscillation death and chimeralike states. Alternatively, a purely repulsive mean-field interaction in an array of all oscillatory junctions produces chimeralike states with signatures of metastability in the incoherent subpopulation of junctions.
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The natural phase space of the trajectory of a Josephson junction is cylindrical. We wrap up the phase space on a cylinder. In this phase space, the periodic behavior of phase is more explicit. The radius of the cylinder (ρ) is taken as unity, and its relation to the Cartesian coordinate is given by, and .
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