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chaosbook:noise [2010/07/02 05:28]
predrag Rayleigh–Rice distribution
chaosbook:noise [2010/08/04 15:51] (current)
predrag Goldobin and Zaks noisy preprint
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 <span style="​color:​green;​font-size:​80%;​text-align:​right;">​enter the latest posts at the top of this section</​span> ​ <span style="​color:​green;​font-size:​80%;​text-align:​right;">​enter the latest posts at the top of this section</​span> ​
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 +**2010-08-03 PC to Domenico** [[http://​arxiv.org/​abs/​1008.0073|Noise reduces disorder in chaotic dynamics]] by Denis S. Goldobin and Michael A. Zaks. They say: "We evoke the idea of representation of the chaotic attractor by the set of unstable periodic orbits and discover a novel noise-induced ordering phenomenon. For long unstable periodic orbits the weights (or natural measure) appear to be highly inhomogeneous over the set either diminishing or enhancing their contribution into system dynamics. We show analytically a weak noise to reduce this inhomogeneity and, additionally to obvious perturbing effect, make a regularizing influence on the chaotic dynamics. We demonstrate this universal effect rooted into the nature of deterministic chaos for the Lorenz system. The effect can be observed as shrinking of the distribution of averages over finite segments of the chaotic trajectory and lead to significant enhancement of the coherence of chaotic oscillations."​
  
 **2010-07-02 PC to Sara** ​ **2010-07-02 PC to Sara** ​
chaosbook/noise.txt · Last modified: 2010/08/04 15:51 by predrag