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Bilinear effect in complex systems
Journal article   Open access

Bilinear effect in complex systems

Lui Lam, David C Bellavia, Xiao-Pu Han, Chih-Hui Alston Liu, Chang-Qing Shu, Zhengjin Wei, Tao Zhou and Jichen Zhu
Europhysics letters, v 91(6), p68004
27 Mar 2010
url
https://doi.org/10.1209/0295-5075/91/68004View
Published, Version of Record (VoR) Open

Abstract

EPL, 91 (2010) 68004 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.

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Collaboration types
Domestic collaboration
International collaboration
Web of Science research areas
Physics, Multidisciplinary
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