Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-03-25
Chaos, Solitons & Fractals, Vol. 13, No. 2, 215-219 (2002)
Physics
Condensed Matter
Disordered Systems and Neural Networks
Scientific paper
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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