Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/12300
Title: The internet differential equation and fractal networks
Contributor(s): Baker, Robert G  (author)
Publication Date: 2013
Open Access: Yes
DOI: 10.1088/1742-6596/410/1/012099Open Access Link
Handle Link: https://hdl.handle.net/1959.11/12300
Open Access Link: https://doi.org/10.1088/1742-6596/410/1/012099Open Access Link
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
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