Bilinear effect in complex systems

    Authors

    L. Lam; D. C. Bellavia; X. P. Han; C. H. A. Liu; C. Q. Shu; Z. J. Wei; T. Zhou;J. C. Zhu

    Comments

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    Abbreviated Journal Title

    Epl

    Keywords

    DYNASTIC CYCLE; POWER LAWS; NETWORKS; MODEL; DISTRIBUTIONS; DYNAMICS; PARETO; NOISE; Physics, Multidisciplinary

    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. The bilinear effect in two other social systems is presented, indicating that such a piecewise-linear effect is widespread in social systems. Copyright (C) EPLA, 2010

    Journal Title

    Epl

    Volume

    91

    Issue/Number

    6

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    5

    WOS Identifier

    WOS:000283708700035

    ISSN

    0295-5075

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