Europhys. Lett.
Volume 61, Number 6, March 2003
Page(s) 852 - 855
Section Interdisciplinary physics and related areas of science and technology
Published online 01 March 2003
DOI: 10.1209/epl/i2003-00316-7
Europhys. Lett., 61 (6) , pp. 852-855 (2003)

Omori's law in the Internet traffic

S. Abe1 and N. Suzuki2

1  Institute of Physics, University of Tsukuba - Ibaraki 305-8571, Japan
2  College of Science and Technology, Nihon University Funabashi, Chiba 274-8501, Japan

(Received 1 July 2002; accepted in final form 10 January 2003)

The Internet is a complex system, whose temporal behavior is highly nonstationary and exhibits sudden drastic changes regarded as main shocks or catastrophes. Here, analyzing a set of time series data of round-trip time measured in echo experiment with the Ping Command, the property of "aftershocks" (i.e., catastrophes of smaller scales) after a main shock is studied. It is found that the aftershocks obey Omori's law. Thus, the Internet shares with earthquakes and financial-market crashes a common scale-invariant feature in the temporal patterns of aftershocks.

89.75.-k - Complex systems.
89.20.-a - Interdisciplinary applications of physics.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.

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