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Nonequilibrium noise in coupled phase oscillators P. Reimann,1 C. Van den Broeck,2 and R. Kawai3 1Theoretische Physik I, Universität Augsburg, 86135 Augsburg, Germany 2Limburgs Universitair Centrum, 3590 Diepenbeek, Belgium 3University of Alabama at Birmingham, Birmingham, Alabama 35294 (Received 25 January 1999) The effect of nonequilibrium fluctuations on coupled phase oscillators is studied in a basic model. Its extremely rich behavior, including first and second order phase transitions, time-periodic phases, multiple anomalous hystereses, negative mobility, and other remarkable response properties, is unraveled by both analytical and numerical calculations. This work is published in Physical Review E 60 (1999), 6402