Fractals in Small-World Networks With Time Delay

Xin-She Yang

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arXiv · 1003.4949

Fractals in Small-World Networks With Time Delay

Xin-She Yang

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Abstract

The small-world networks recently introduced by Watts and Strogatz [Nature 393, 440 (1998)] has attracted much interests in studying the interesting properties of the networks without time-delay. However, a signal or influence travelling on the small-world networks often associated with time-delay features which are very common in biological and physical networks. We develop an analytical approach as well as numerical simulations to try to characterize the effect of time-delay on the properties of small-world networks. An analytical expression of the fractal dimension of the small-world networks is given and thus compared with the results from numerical simulations. Analysis shows that small-world networks with time-delay generally have the multifractals property.

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Xin-She Yang. 2010-03-25. Fractals in Small-World Networks With Time Delay. https://arxiv.org/abs/1003.4949

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