Abstract
A new concept of the relative metric entropy is introduced that makes possible quantitative evaluation of the chaotic mixing in a dynamical system under the action of an external noise. It is shown that, in the absence of noise, the relative metric entropy represents an estimate from below for the Kolmogorov entropy of the given dynamical system.
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Original Russian Text © V.S. Anishchenko, S.V. Astakhov, 2007, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2007, Vol. 33, No. 21, pp. 1–8.
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Anishchenko, V.S., Astakhov, S.V. Relative entropy as a measure of the degree of mixing in noisy systems. Tech. Phys. Lett. 33, 897–900 (2007). https://doi.org/10.1134/S1063785007110016
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DOI: https://doi.org/10.1134/S1063785007110016