Response of Complex Systems to Complex Perturbations: the Complexity Matching Effect

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Paper discussing the complexity matching effect.

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4 p.

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Allegrini, Paolo; Bologna, Mauro; Grigolini, Paolo & West, Bruce J. December 2006.

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Paper discussing the complexity matching effect.

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4 p.

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Abstract: The dynamical emergence (and subsequent intermittent breakdown) of collective behavior in complex systems is described as a non-Poisson renewal process, characterized by a waiting-time distribution density ψ(T) for the time intervals between successfully recorded breakdowns. In the intermittent case ψ(t) ~ t-μ, with complexity index μ. We show that two systems can exchange information through complexity matching and present theoretical and numerical calculations describing a system with complexity index μs perturbed by a signal with complexity index μp. The analysis focuses on the non-ergodic (non-stationary) case μ ≤ 2 showing that for μs ≥ μp, the system S statistically inherits the correlation function of the perturbation P. The condition μp = μs is a resonant maximum for correlation information exchange.

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  • arXiv: cond-mat/0612303

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  • December 2006

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  • Jan. 16, 2013, 12:47 p.m.

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  • April 1, 2014, 2:49 p.m.

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Allegrini, Paolo; Bologna, Mauro; Grigolini, Paolo & West, Bruce J. Response of Complex Systems to Complex Perturbations: the Complexity Matching Effect, paper, December 2006; (digital.library.unt.edu/ark:/67531/metadc132965/: accessed November 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.