Complexity and Synchronization


This article discusses complexity and synchronization in decision making and information transmission.

Creation Date: August 14, 2009
UNT College of Arts and Sciences
UNT Scholarly Works
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Creator (Author):
Turalska, Malgorzata

University of North Texas

Creator (Author):
Lukovic, Mirko

Università di Pisa; INFM Largo Pontecorvo

Creator (Author):
West, Bruce J.

United States. Army Research Office

Creator (Author):
Grigolini, Paolo

University of North Texas; Università di Pisa and INFM CRS-SOFT; Area della Ricerca del CNR

Publisher Info:
Publisher Name: American Physical Society
Place of Publication: [College Park, Maryland]
  • Creation: August 14, 2009

This article discusses complexity and synchronization in decision making and information transmission.

Department: Physics

Copyright 2009 American Physical Society. The following article appeared in Physical Review E, 80:2;


Abstract: We study a fully connected network (cluster) of interacting two-state units as a model of cooperative decision making. Each unit in isolation generates a Poisson process with rate g. We show that when the number of nodes is finite, the decision-making process becomes intermittent. The decision-time distribution density is characterized by inverse power-law behavior with index μ=1.5 and is exponentially truncated. We find that the condition of perfect consensus is recovered by means of a fat tail that becomes more and more extended with increasing numbers of nodes N. The intermittent dynamics of the global variable are described by the motion of a particle in a double well potential. The particle spends a portion of the total time τs at the top of the potential barrier. Using theoretical and numerical arguments it is proved that τs ∝ (1/g)1n(const X N). The second portion of its time, τk, is spent by the particle at the bottom of the potential well and it is given by τk=(1/g)exp(const X N). We show that the time τk is responsible for the Kramers fat tail. This generates a stronger ergodicity breakdown than that generated by the inverse power law without truncation. The authors establish that the condition of partial consensus can be transmitted from one cluster to another provided that both networks are in a cooperative condition. No significant information transmission is possible if one of the two networks is not yet self-organized. We find that partitioning a large network into a set of smaller interacting clusters has the effect of converting the fat Kramers tail into an inverse power law with μ=1.5.

Physical Description:

12 p.

Keyword(s): decision making | information transmission
Source: Physical Review E, 2009, College Park: American Physical Society
UNT College of Arts and Sciences
UNT Scholarly Works
  • DOI: 10.1103/PhysRevE.80.021110 |
  • ARK: ark:/67531/metadc40410
Resource Type: Article
Format: Text
Access: Public
Publication Title: Physical Review E
Volume: 80
Issue: 2
Pages: 12
Peer Reviewed: Yes