English

Omori's law in the Internet traffic

Statistical Mechanics 2009-11-07 v1 Disordered Systems and Neural Networks

Abstract

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 tim 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.

Keywords

Cite

@article{arxiv.cond-mat/0206453,
  title  = {Omori's law in the Internet traffic},
  author = {Sumiyoshi Abe and Norikazu Suzuki},
  journal= {arXiv preprint arXiv:cond-mat/0206453},
  year   = {2009}
}

Comments

10 pages, 3 figures