Abstract
Abstract The effect of noise on the in-phase attractor of a set of N globally coupled oscillators is studied; these discrete-time maps are associated with the continuous-time equations of motion for a series array of Josephson junction oscillators. We investigate both geometrical properties of the basin of attraction in the large N limit, and the implications of this geometry on the average time for the system to escape from the phase-locked mode. Our main results are that the attractor basin maintains a box-shaped “core” of finite radius even as N → ∞, and that the in-phase attractor of a large N array is much less vulnerable to noise than are the out-of-phase attractors.
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