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We study the effect of a time-delayed feedback within a generic model for asaddle-node bifurcation on a limit cycle. Without delay the only attractorbelow this global bifurcation is a stable node. Delay renders the phase spaceinfinite-dimensional and creates multistability of periodic orbits and thefixed point. Homoclinic bifurcations, period-doubling and saddle-nodebifurcations of limit cycles are found in accordance with Shilnikov's theorems.Comment: Int. J. Bif. Chaos (2007), in prin

DELAY-INDUCED MULTISTABILITY NEAR A GLOBAL BIFURCATION