Chaotic and periodic spreading dynamics in discrete small-world networks

被引：0

作者：

Li, X ^{[1
]}

Meyer-Ortmanns, H ^{[1
]}

Wang, XF ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200030, Peoples R China

来源：

2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS | 2005年

关键词：

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We propose a new discrete model for the controlled spreading dynamics on Newman-Watts small-world networks. In this model we study epidemic spreading behavior as a function of the small-world probability p and the nonlinear control gain mu. 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 spreading to a bounded region via a suitable choice of control parameter, but not to erase the infected volume completely, however strong the control parameter is chosen.

引用

页码：280 / 283

页数：4

共 17 条

[1] Statistical mechanics of complex networks [J].

Albert, R ;

Barabási, AL .

REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :47-97

[2] Small world effect in an epidemiological model [J].

Kuperman, M ;

Abramson, G .

PHYSICAL REVIEW LETTERS, 2001, 86 (13) :2909-2912

[3] Synchronization and desynchronization of complex dynamical networks: An engineering viewpoint [J].

Li, X ;

Chen, GR .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (11) :1381-1390

[4] Stability and bifurcation of disease spreading in complex networks [J].

Li, X ;

Chen, GR ;

Li, CG .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2004, 35 (09) :527-536

[5] Pinning a complex dynamical network to its equilibrium [J].

Li, X ;

Wang, XF ;

Chen, GR .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (10) :2074-2087

[6] Transition to chaos in complex dynamical networks [J].

Li, X ;

Chen, GR ;

Ko, KT .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 338 (3-4) :367-378

[7]

MASUDA N, EPRINTCONDMAT0401598

[8] Epidemics and percolation in small-world networks [J].

Moore, C ;

Newman, MEJ .

PHYSICAL REVIEW E, 2000, 61 (05) :5678-5682

[9] Spreading and shortest paths in systems with sparse long-range connections [J].

Moukarzel, CF .

PHYSICAL REVIEW E, 1999, 60 (06) :R6263-R6266

[10] Renormalization group analysis of the small-world network model [J].

Newman, MEJ ;

Watts, DJ .

PHYSICS LETTERS A, 1999, 263 (4-6) :341-346

← 1 2 →