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• W2263881692 abstract "We study the transport of information between two complex systems with similar properties. Both systems generate non-Poisson renewal fluctuations with a power-law spectrum 1/f(3-μ), the case μ=2 corresponding to ideal 1/f noise. We denote by μ(S) and μ(P) the power-law indexes of the system of interest S and the perturbing system P, respectively. By adopting a generalized fluctuation-dissipation theorem (FDT) we show that the ideal condition of 1/f noise for both systems corresponds to maximal information transport. We prove that to make the system S respond when μ(S)<2 we have to set the condition μ(P)<2. In the latter case, if μ(P)<μ(S), the system S inherits the relaxation properties of the perturbing system. In the case where μ(P)>2, no response and no information transmission occurs in the long-time limit. We consider two possible generalizations of the fluctuation dissipation theorem and show that both lead to maximal information transport in the condition of 1/f noise." @default.
• W2263881692 created "2016-06-24" @default.
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• W2263881692 date "2011-05-31" @default.
• W2263881692 modified "2023-10-12" @default.
• W2263881692 title "Transmission of information between complex systems:<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>f</mml:mi></mml:mrow></mml:math>resonance" @default.
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• W2263881692 doi "https://doi.org/10.1103/physreve.83.051130" @default.
• W2263881692 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/21728513" @default.
• W2263881692 hasPublicationYear "2011" @default.
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