Grigolini, Paolo
University of North Texas; Università di Pisa; Istituto dei Processi Chimico del CNR Area della Ricerca di Pisa
West, Bruce J.
Duke University; United States. Army Research Office
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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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Allegrini, Paolo; Bologna, Mauro; Grigolini, Paolo & West, Bruce J.Response of Complex Systems to Complex Perturbations: the Complexity Matching Effect,
paper,
December 2006;
(https://digital.library.unt.edu/ark:/67531/metadc132965/:
accessed March 28, 2024),
University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu;
crediting UNT College of Arts and Sciences.