Transmission of Information Between Complex Systems: 1/ f resonance

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In this article, the authors study the transport of information between two complex systems with similar properties.

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12 p.

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Aquino, Gerardo; Bologna, Mauro; West, Bruce J. & Grigolini, Paolo May 31, 2011.

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In this article, the authors study the transport of information between two complex systems with similar properties.

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12 p.

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Copyright 2011 American Physical Society. The following article appeared in Physical Review E, 83:5; http://pre.aps.org/abstract/PRE/v83/i5/e051130

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/f3-μ, the case μ=2 corresponding to ideal 1/f noise. We denote by μS and μP 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 μS < 2 we have to set the condition μP < 2. In the latter case, if μP < μS, the system S inherits the relaxation properties of the perturbing system. In the case where μP > 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.

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  • Physical Review E, 2011, College Park: American Physical Society

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  • Publication Title: Physical Review E
  • Volume: 83
  • Issue: 5
  • Pages: 12
  • Peer Reviewed: Yes

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  • May 31, 2011

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  • Sept. 9, 2011, 2:01 p.m.

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  • April 1, 2014, 12:36 p.m.

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Aquino, Gerardo; Bologna, Mauro; West, Bruce J. & Grigolini, Paolo. Transmission of Information Between Complex Systems: 1/ f resonance, article, May 31, 2011; [College Park, Maryland]. (digital.library.unt.edu/ark:/67531/metadc40404/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.