Abstract

Stochastic resonance induced by multiplicative white noise is theoretically studied in forced damped monostable oscillators. A stochastic amplitude equation is derived for the oscillation envelope, which has a linear stochastic resonance. This phenomenon is persistent when nonlinearities are considered. We propose three simple systems—a horizontally driven pendulum, a forced electrical circuit and a laser with an injected signal—that display this stochastic resonance.

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