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|Title:||The internet differential equation and fractal networks||Contributor(s):||Baker, Robert G (author)||Publication Date:||2013||Open Access:||Yes||DOI:||10.1088/1742-6596/410/1/012099||Handle Link:||https://hdl.handle.net/1959.11/12300||Open Access Link:||https://doi.org/10.1088/1742-6596/410/1/012099||Abstract:||The Internet is an example of a general physical problem dealing with motion near the speed of light relative to different time frames of reference. The second order differential equation (DE) takes the form of 'time diffusion' near the speed of light or alternatively, considered as a complex variable with real time and imaginary longitudinal components. Congestion waves are generated by peak global traffic from different time zones following the Earth's revolution defined by spherical harmonics and a day/night bias. The DE is essentially divided into space and time operators constrained by the speed of light c, band capacity w and a fractal dimension Z (Hausdorff dimension). This paper explores the relationship between the dynamics and the network including the addition of fractal derivatives to the DE for regional networks for 0 < Z < 1.||Publication Type:||Conference Publication||Conference Name:||International Conference on Mathematical Modelling in Physical Sciences (IC-MSQUARE), Budapest, Hungary, 3rd - 7th September, 2012||Conference Details:||International Conference on Mathematical Modelling in Physical Sciences (IC-MSQUARE), Budapest, Hungary, 3rd - 7th September, 2012||Source of Publication:||Journal of Physics: Conference Series, 410(Conference 1), p. 1-8||Publisher:||Institute of Physics Publishing Ltd||Place of Publication:||United Kingdom||ISSN:||1742-6588||Field of Research (FOR):||010401 Applied Statistics||Peer Reviewed:||Yes||HERDC Category Description:||E1 Refereed Scholarly Conference Publication||Series Name:||Journal of Physics: Conference Series||Series Number :||410||Statistics to Oct 2018:||Visitors: 177
|Appears in Collections:||Conference Publication|
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