期刊
PHYSICAL REVIEW E
卷 99, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.99.022307
关键词
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资金
- Spanish Ministry of Science
- Agencia Espanola de Investigacion (AEI) [FIS2017-84256-P]
- Obra Social La Caixa [100010434, LCF/BQ/ES15/10360004]
- Perimeter Institute for Theoretical Physics (PI)
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
Recently there is a surge of interest in network geometry and topology. Here we show that the spectral dimension plays a fundamental role in establishing a clear relation between the topological and geometrical properties of a network and its dynamics. Specifically we explore the role of the spectral dimension in determining the synchronization properties of the Kuramoto model. We show that the synchronized phase can only be thermodynamically stable for spectral dimensions above four and that phase entrainment of the oscillators can only be found for spectral dimensions greater than two. We numerically test our analytical predictions on the recently introduced model of network geometry called complex network manifolds, which displays a tunable spectral dimension.
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