Weighted networks are more synchronizable: How and why

Adilson E. Motter; Changsong ZHOU; Jürgen Kurths

doi:10.1063/1.1985389

Weighted networks are more synchronizable: How and why

Adilson E. Motter^*, Changsong ZHOU, Jürgen Kurths

^*Corresponding author for this work

Department of Physics

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

34 Citations (Scopus)

Abstract

Most real-world networks display not only a heterogeneous distribution of degrees, but also a heterogeneous distribution of weights in the strengths of the connections. Each of these heterogeneities alone has been shown to suppress synchronization in random networks of dynamical systems. Here we review our recent findings that complete synchronization is significantly enhanced and becomes independent of both distributions when the distribution of weights is suitably combined with the distribution of degrees. We also present new results addressing the optimality of our findings and extending our analysis to phase synchronization in networks of non-identical dynamical unities.

Original language	English
Title of host publication	SCIENCE OF COMPLEX NETWORKS
Subtitle of host publication	From Biology to the Internet and WWW, CNET 2004
Pages	201-214
Number of pages	14
DOIs	https://doi.org/10.1063/1.1985389
Publication status	Published - 21 Jun 2005
Event	SCIENCE OF COMPLEX NETWORKS: From Biology to the Internet and WWW, CNET 2004 - Aveiro, Portugal Duration: 29 Aug 2004 → 2 Sept 2004

Publication series

Name	AIP Conference Proceedings
Volume	776
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	SCIENCE OF COMPLEX NETWORKS: From Biology to the Internet and WWW, CNET 2004
Country/Territory	Portugal
City	Aveiro
Period	29/08/04 → 2/09/04

Scopus Subject Areas

Physics and Astronomy(all)

User-Defined Keywords

Complex networks
Coupled oscillators
Synchronization

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10.1063/1.1985389

Cite this

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AB - Most real-world networks display not only a heterogeneous distribution of degrees, but also a heterogeneous distribution of weights in the strengths of the connections. Each of these heterogeneities alone has been shown to suppress synchronization in random networks of dynamical systems. Here we review our recent findings that complete synchronization is significantly enhanced and becomes independent of both distributions when the distribution of weights is suitably combined with the distribution of degrees. We also present new results addressing the optimality of our findings and extending our analysis to phase synchronization in networks of non-identical dynamical unities.

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ER -

Weighted networks are more synchronizable: How and why

Abstract

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Conference

Scopus Subject Areas

User-Defined Keywords

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