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We study a system of globally coupled two-dimensional nonlinear oscillators ͓using the two-junction superconducting quantum interference device ͑SQUID͒ as a prototype for a single element͔ each of which can undergo a saddle-node bifurcation characterized by the disappearance of the stable minima in its potential energy function. This transition from fixed point solutions to spontaneous oscillations is controlled by external bias parameters, including the coupling coefficient. For thedoi:10.1103/physreve.67.016210 pmid:12636588 fatcat:3gjzo6yokfcsfannv75vdzz42a