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

Description:

Paper discussing the complexity matching effect.

Creator(s):
Creation Date: December 2006
Partner(s):
UNT College of Arts and Sciences
Collection(s):
UNT Scholarly Works
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Creator (Author):
Allegrini, Paolo

Duke University

Creator (Author):
Bologna, Mauro

Universidad de Tarapacá

Creator (Author):
Grigolini, Paolo

University of North Texas; Università di Pisa; Istituto dei Processi Chimico del CNR Area della Ricerca di Pisa

Creator (Author):
West, Bruce J.

Duke University; United States. Army Research Office

Date(s):
  • Creation: December 2006
Description:

Paper discussing the complexity matching effect.

Degree:
Department: Physics
Note:

This is the pre-print version of the paper.

Note:

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.

Physical Description:

4 p.

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Subject(s):
Keyword(s): complexity matching effect | non-Poisson renewal process
Source: arXiv: cond-mat/0612303
Partner:
UNT College of Arts and Sciences
Collection:
UNT Scholarly Works
Identifier:
  • ARK: ark:/67531/metadc132965
Resource Type: Paper
Format: Text
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Access: Public