Abstract

Employing the monotonicity approach and the theory of orientation preserving circle homeomorphisms, we provide a rigorous analysis on the IV characteristics of the coupled Josephson junctions including an interference term in a specified parameters region. In particular, when the system is driven by a dc-current, we show that there exist either globally stable single-wave-form solutions if and only if the average voltage is nonzero, or equilibria if and only if the average voltage vanishes.

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