Scientific Results

Control of stochastic multistable systems: Experimental demonstration

Year: 2009

Authors: Goswami B. K., Euzzor S., Al-Naimee K., Geltrude A., Meucci R., Arecchi F.T.

Autors Affiliation: Bhabha Atom Res Ctr, Div Laser & Plasma 1. Technol, Bombay 400085, Maharashtra, India;
CNR-INO, Largo E. Fermi 6, I-50125 Florence. Italy

Abstract: Stochastic disturbances and spikes (sudden sharp fluctuations of any system parameter), commonly observed among natural and laboratory-scale systems, can perturb the multistable dynamics significantly and become a serious impediment when the device is designed for a certain dynamical behavior. We experimentally demonstrate that suitable periodic modulation of any system parameter may efficiently control such stochastic multistability related problems. The control mechanism is verified individually with two standard models (namely, an analog circuit of Lorenz equations and a cavity-loss modulated CO(2) laser), against three externally introduced disturbing signals, (namely, white Gaussian noise, pink noise, and train of spikes). Indeed, with both the systems, it has been observed that the modulation is capable to significantly control untoward jumps to coexisting attractors that otherwise would have occurred due to either of the disturbances. These results establish the robustness and wide applicability of this control mechanism in resolving stochastic multistability related problems.

Journal/Review: PHYSICAL REVIEW E

Volume: 80 (1)      Pages from: 016211  to: 016211

KeyWords: Co-existing attractors; CO2-laser; Control mechanism; Disturbing signals; Dynamical behaviors; Laboratory scale; Lorenz equation; Multistability; Multistable; Multistable systems; Periodic modulation; Standard model; Stochastic disturbances; White Gaussian Noise, Differential equations, Modulation
DOI: 10.1103/PhysRevE.80.016211

Citations: 9
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English