2008/02/29 by Raj Kumar Pan, Sitabhra Sinha · 3 citations
Computer Science · Physics and Astronomy · #Cluster analysis #Dynamical systems theory #Modular design #Modularity (biology) #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Opinion Dynamics and Social Influence #Separation (statistics) #Synchronization (alternating current) #Universality (dynamical systems) #cond-mat.dis-nn #physics.bio-ph #physics.soc-ph
paper · pdf · doi:10.1209/0295-5075/85/68006
published as Europhys. Lett. 85, 68006 (2009) · 6 pages, 7 figures. Published version, Results and figures of additional dynamics have been included
openalex publication_date 2009/03/01 · arxiv created 2009/04/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The functional consequences of local and global dynamics can be very different in natural systems. Many such systems have a network description that exhibits strong local clustering as well as high communication efficiency, often termed as small-world networks (SWN). We show that modular organization in otherwise random networks generically give rise to SWN, with a characteristic time-scale separation between fast intra-modular and slow inter-modular processes. The universality of this dynamical signature, that distinguishes modular networks from earlier models of SWN, is demonstrated by processes as different as spin-ordering, synchronization and diffusion.