Self-organized criticality and partial synchronization in an evolving network

A. Ponzi, Y. Aizawa

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We describe an evolving network type model of stock market, and present numerical results. Recent works on Self-organized criticality in pulse coupled relaxation oscillators have shown SOC to be related to frustrated attempts of the system to synchronize. Other works have shown the emergence of a self-organized control parameter which feeds back onto an order parameter, causing avalanches which separate periods of stasis. We define an all-to-all network of connected spins which also have an attached fitness. We find a self-organized fitness threshold given by the mean fitness, which separates a solid type state from a gaseous type state. We also find a self-organized control parameter given by the fitness deviation. Approach of this parameter to zero causes `avalanches' of partial synchronizations which occur on all sizes, separated by periods of stasis, and re-order the system.

Original languageEnglish
Pages (from-to)1077-1086
Number of pages10
JournalChaos, Solitons and Fractals
Volume11
Issue number7
DOIs
Publication statusPublished - 2000 Jun 1

Fingerprint

Self-organized Criticality
fitness
Fitness
synchronism
Synchronization
Partial
Avalanche
Control Parameter
avalanches
relaxation oscillators
Stock Market
Order Parameter
Deviation
deviation
Numerical Results
thresholds
causes
Zero
pulses

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics

Cite this

Self-organized criticality and partial synchronization in an evolving network. / Ponzi, A.; Aizawa, Y.

In: Chaos, Solitons and Fractals, Vol. 11, No. 7, 01.06.2000, p. 1077-1086.

Research output: Contribution to journalArticle

Ponzi, A. ; Aizawa, Y. / Self-organized criticality and partial synchronization in an evolving network. In: Chaos, Solitons and Fractals. 2000 ; Vol. 11, No. 7. pp. 1077-1086.
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