Reduction of Additive Colored Noise Using Coupled Dynamics

@article{Kohar2016ReductionOA,
  title={Reduction of Additive Colored Noise Using Coupled Dynamics},
  author={Vivek Kohar and Behnam Kia and John F. Lindner and William L. Ditto},
  journal={Int. J. Bifurc. Chaos},
  year={2016},
  volume={26},
  pages={1650005:1-1650005:9}
}
We study the effect of additive colored noise on the evolution of maps and demonstrate that the deviations caused by such noise can be reduced using coupled dynamics. We consider both Ornstein–Uhlenbeck process as well as 1/fα noise in our numerical simulations. We observe that though the variance of deviations caused by noise depends on the correlations in the noise, under optimal coupling strength, it decreases by a factor equal to the number of coupled elements in the array as compared to… 
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