Abstract
We study the chaotic dynamics of a periodically modulatedJosephson junction with damping. The general solution of thefirst-order perturbed equation is constructed by using the directperturbation technique. It is theoretically found that theboundedness conditions of the general solution contain theMelnikov chaotic criterion. When the perturbation conditionscannot be satisfied, numerical simulations demonstrate that thesystem can step into chaos through a period doubling route withthe increase of the amplitude of the modulating term.Regulating specific parameters can effectively suppress the chaos.
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