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Oscillation dynamics of Josephson-junction serial arrays coupled to a resonant circuit has been considered using numerical simulation. In contrast to the case of one junction, at least two stable oscillation modes are possible in the arrays: the in-phase oscillations and a collectively anti-phased mode, when the junctions oscillate with some phase difference depending on number of the junctions. In this mode, composition of the high-amplitude junction oscillations gives zero basic tone amplitude. The modes manifest themselves with two resistive branches in the array IV-curve, as well as with restrictions on observability of both the force and parametric resonance peculiarities.