ArticleScientific reports2017
Minimum Winfree loop determines self-sustained oscillations in excitable Erdös-Rényi random networks.
Article in Scientific reports, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Competitive oscillatory dynamics in excitable neuron networks.Frontiers in network physiology · 2025Article
- A statistical analysis method for probability distributions in Erdös-Rényi random networks with preferential cutting-rewiring operation.Frontiers in network physiology · 2024Article
- Complete synchronization of the global coupled dynamical network induced by Poisson noises.PloS one · 2017Article
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Authors and funding
3 authors.
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Abstract
The investigation of self-sustained oscillations in excitable complex networks is very important in understanding various activities in brain systems, among which the exploration of the key determinants of oscillations is a challenging task. In this paper, by investigating the influence of system parameters on self-sustained oscillations in excitable Erdös-Rényi random networks (EERRNs), the minimum Winfree loop (MWL) is revealed to be the key factor in determining the emergence of collective oscillations. Specifically, the one-to-one correspondence between the optimal connection probability (OCP) and the MWL length is exposed. Moreover, many important quantities such as the lower critical connection probability (LCCP), the OCP, and the upper critical connection probability (UCCP) are determined by the MWL. Most importantly, they can be approximately predicted by the network structure analysis, which have been verified in numerical simulations. Our results will be of great importance to help us in understanding the key factors in determining persistent activities in biological systems.
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