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1. $1/f^{alpha}$ noise in spectral fluctuations of complex networks | |||
Ye Bin | |||
Information Science and System Science 29 March 2010 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:$1/f^{alpha}$-noise or $1/f^{alpha}$-phenomenon is widely considered as the signature of complexity. We demonstrate the existence of this phenomenon in various model networks, namely random, small-world, scale-free complex networks. Taking the eigenvalues of the adjacency matrix as a discrete time series, the Fourier power spectrum of the fluctuations of these eigenvalues are analyzed in terms of their frequency. An approximately $1/f^{2}$ type power-law behavior is found in these model networks. We also present our analysis for the real-world interconnected electrical power grid. Our present work provides a new perspective to understand the complex network structures. | |||
TO cite this article:Ye Bin. $1/f^{alpha}$ noise in spectral fluctuations of complex networks[OL].[29 March 2010] http://en.paper.edu.cn/en_releasepaper/content/41270 |
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