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We show that the transition of Josephson junctions between the conventionaland pi states caused by the decrease in temperature induces in a regulartwo-dimensional array of such junctions not just a single phase transitionbetween two phases with different ordering but a sequence of two, three or fourphase transitions. The corresponding phase diagrams are constructed for thecases of bipartite (square or honeycomb) and triangular lattices.

Sequence of phase transitions induced in an array of Josephson junctions by their crossover to pi-state