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… Expand
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4 Citations

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References

SHOWING 1-10 OF 22 REFERENCES
Coupling Reduces Noise: Applying Dynamical Coupling to Reduce Local White Additive Noise
TLDR
It is demonstrated how coupling nonlinear dynamical systems can reduce the effects of noise and developed a theoretical model that explains this observed noise evolution and shows how the coupled dynamics can naturally function as an averaging filter. Expand
Effects of Colored Noise on Stochastic Resonance in Sensory Neurons
Noise can assist neurons in the detection of weak signals via a mechanism known as stochastic resonance (SR). We demonstrate experimentally that SR-type effects can be obtained in rat sensory neurons… Expand
Noise enhanced activity in a complex network
We consider the influence of local noise on a generalized network of populations having positive and negative feedbacks. The population dynamics at the nodes is nonlinear, typically chaotic, and… Expand
Discrete simulation of power law noise
A method for simulating power law noise in clocks and oscillators is presented based on modification of the spectrum of white phase noise, then Fourier transforming to the time domain. Symmetric real… Expand
Array enhanced stochastic resonance and spatiotemporal synchronization.
TLDR
It is shown 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. Expand
Noise tolerant spatiotemporal chaos computing.
TLDR
This work introduces and design a noise tolerant chaos computing system based on a coupled map lattice and the noise reduction capabilities inherent in coupled dynamical systems, which is more robust to noise than a single map chaos Computing system. Expand
Communicating with chaos.
TLDR
It is shown that the recent realization that chaos can be controlled with small perturbations can be utilized to cause the symbolic dynamics of a chaotic system to track a prescribed symbol sequence, thus allowing us to encode any desired message in the wave form from a chaotic oscillator. Expand
Bifurcational Analysis of Bistable System Excited by Colored Noise
The appearance of a hole in the two-dimensional probability density of a bistable system excited by colored noise is investigated. To analyze the phenomenon, a cumulant analysis is used. In the… Expand
Discrete simulation of colored noise and stochastic processes and 1/f/sup /spl alpha// power law noise generation
This paper discusses techniques for generating digital sequences of noise which simulate processes with certain known properties or describing equations. Part I of the paper presents a review of… Expand
Unstable periodic orbits and noise in chaos computing.
Different methods to utilize the rich library of patterns and behaviors of a chaotic system have been proposed for doing computation or communication. Since a chaotic system is intrinsically unstable… Expand
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