Affordable Access

deepdyve-link
Publisher Website

Bilinear effect in complex systems

Authors
  • Lam, Lui
  • Bellavia, David C.
  • Han, Xiao-Pu
  • Liu, Chih-Hui Alston
  • Shu, Chang-Qing
  • Wei, Zhengjin
  • Zhou, Tao
  • Zhu, Jichen
Type
Published Article
Publication Date
Sep 14, 2010
Submission Date
Mar 27, 2010
Identifiers
DOI: 10.1209/0295-5075/91/68004
Source
arXiv
License
Yellow
External links

Abstract

The distribution of the lifetime of Chinese dynasties (as well as that of the British Isles and Japan) in a linear Zipf plot is found to consist of two straight lines intersecting at a transition point. This two-section piecewise-linear distribution is different from the power law or the stretched exponent distribution, and is called the Bilinear Effect for short. With assumptions mimicking the organization of ancient Chinese regimes, a 3-layer network model is constructed. Numerical results of this model show the bilinear effect, providing a plausible explanation of the historical data. Bilinear effect in two other social systems is presented, indicating that such a piecewise-linear effect is widespread in social systems.

Report this publication

Statistics

Seen <100 times