Trajectory (Phase) Selection in Multistable Systems: Stochastic Resonance, Signal Bias, and the Effect of Signal Phase

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Abstract
It is common for a periodically driven nonlinear system to have coexistent attractors. Specifically, we are interested in the case where one of these attractors is a limit cycle whose period is an integer multiple of that of the driving. Suppose that in a given application the system is desired to evolve with this limit cycle with a particular phase relative to the driving. In this Letter we propose a technique combining the effect of noise and the effect of a bias periodic signal with a properly chosen phase to accomplish this task.