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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References

SHOWING 1-10 OF 22 REFERENCES

Coupling Reduces Noise: Applying Dynamical Coupling to Reduce Local White Additive Noise

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.

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

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

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

Array enhanced stochastic resonance and spatiotemporal synchronization.

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.

Discrete simulation of colored noise and stochastic processes and 1/f/sup /spl alpha// power law noise generation

A new digital model for power law noises is presented, which allows for very accurate and efficient computer generation of 1/f/sup /spl alpha// noises for any /splalpha// noises.

Noise tolerant spatiotemporal chaos computing.

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.

Communicating with chaos.

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.

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

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