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

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dc.creatorAllegrini, Paolo
dc.creatorBologna, Mauro
dc.creatorGrigolini, Paolo
dc.creatorWest, Bruce J.
dc.date2006-12-12
dc.date.accessioned2026-07-07T06:41:54Z
dc.date.available2026-07-07T06:41:54Z
dc.descriptionThe 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 $ψ(τ)$ for the time intervals between successively recorded breakdowns. In the intermittent case $ψ(t)\sim t^{-μ}$, 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 $μ_{S}$ perturbed by a signal with complexity index $μ_{P}$. The analysis focuses on the non-ergodic (non-stationary) case $μ\leq 2$ showing that for $μ_{S}\geq μ_{P}$, the system $S$ statistically inherits the correlation function of the perturbation $P$. The condition $μ_{P}=μ_{S}$ is a resonant maximum for correlation information exchange.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0612303
dc.identifierhttp://arxiv.org/abs/cond-mat/0612303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101844
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleResponse of Complex Systems to Complex Perturbations: the Complexity Matching Effect
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