Array enhanced stochastic resonance and spatiotemporal synchronization.

@article{Lindner1995ArrayES,
  title={Array enhanced stochastic resonance and spatiotemporal synchronization.},
  author={Lindner and Meadows and Ditto and Inchiosa and Bulsara},
  journal={Physical review letters},
  year={1995},
  volume={75 1},
  pages={
          3-6
        }
}
We enhance the response of a “stochastic resonator” by coupling it into a chain of identical resonators. Specifically, we show via numerical simulation that local linear coupling of overdamped nonlinear oscillators significantly enhances the signal-to-noise ratio of the response of a single oscillator to a time-periodic signal and noise. We relate this array enhanced stochastic resonance to the global spatiotemporal dynamics of the array and show how noise, coupling, and bistable potential… 
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References

SHOWING 1-2 OF 2 REFERENCES

Introduction to stochastic differential equations

inProceedings of the Meeting on Nonlinear Dynamics and Full Spectrum Processing

  • edited by R. A. Katz, AIP Conf. Proc.
  • 1995