1/fα noise in spectral fluctuations of complex networks

Bin Ye, Hui-jun Li and Xiao-ping Ma

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 22, 5328-5331

Abstract: 1/fα-noise or 1/fα-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 signal, the Fourier power spectrum of the fluctuations of the eigenvalues is analyzed in terms of their frequency. An approximately 1/f type power-law behavior is found in random networks, while the power spectrum of the fluctuations of small-world and scale-free networks featuring 1/fα noise with 1<α<2. 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.

Keywords: 1/fα-noise; Complex network; Spectral fluctuation (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:22:p:5328-5331

DOI: 10.1016/j.physa.2010.07.023

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