DocumentCode :
3541168
Title :
Chaotic and periodic spreading dynamics in discrete small-world networks
Author :
Li, Xiang ; Meyer-Ortmanns, Hildegard ; Wang, Xiaofan
Author_Institution :
Dept. of Autom., Shanghai Jiao Tong Univ., China
fYear :
2005
fDate :
23-26 May 2005
Firstpage :
280
Abstract :
We propose a new discrete model for the controlled spreading dynamics on Newman-Watts small-world networks. We study epidemic spreading behavior as a function of the small-world probability, p, and the nonlinear control gain, μ. We find period doubling bifurcations as well as chaotic spreading dynamics, depending on the choice of parameters. As it turns out, it is possible to restrict the spread to a bounded region via a suitable choice of control parameter, but it is not possible to erase the infected volume completely, however strong the control parameter chosen.
Keywords :
Internet; bifurcation; chaos; diseases; invasive software; probability; Internet; Newman-Watts small-world networks; Sobig worm; chaotic spreading dynamics; discrete small-world networks; disease spreading; epidemic spreading behavior; nonlinear control gain; period doubling bifurcations; periodic spreading dynamics; small-world probability; virus spreading; Automatic control; Automation; Bifurcation; Birds; Chaos; Complex networks; Diseases; Intelligent networks; Lattices; Viruses (medical);
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
Type :
conf
DOI :
10.1109/ISCAS.2005.1464579
Filename :
1464579
Link To Document :
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