Noise enhanced control of multistability

Abstract

We focus into the development of an efficient method to control multistable systems in the presence of noise. The method is based on the addition of an external control force in the form of a slow harmonic modulation with properly chosen frequency and amplitude. Although noise is usually a non desirable condition, it has been recently demostrated that in coupled systems cooperative effects of the periodic force and noise are produced. This enhancement phenomena in the response of the deterministic equations is interpreted as stochastic resonance. Our main purpose is to study deterministic resonances between the different solutions of the multistable system and the external modulation. Then, all efforts will concentrate in the enhancement of the control method produced by noise.