ArticleScientific reports2014
Influence of the number of topologically interacting neighbors on swarm dynamics.
Article in Scientific reports, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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17 citing papers in PubMed.
- Collective evolution learning model for vision-based collective motion with collision avoidance.PloS one · 2023Article
- Selective interaction and its effect on collective motion.Scientific reports · 2022Article
- Efficient flocking: metric versus topological interactions.Royal Society open science · 2021Article
- Effects of water currents on fish migration through a Feynman-type path integral approach underTheory in biosciences = Theorie in den Biowissenschaften · 2021Article
- Flocking in complex environments-Attention trade-offs in collective information processing.PLoS computational biology · 2020Article
- A stochastic differential game approach toward animal migration.Theory in biosciences = Theorie in den Biowissenschaften · 2019Article
- Optimal network topology for responsive collective behavior.Science advances · 2019Article
- Reducing the Number of Individuals to Monitor Shoaling Fish Systems - Application of the Shannon Entropy to Construct a Biological Warning System Model.Frontiers in physiology · 2018Article
- Entangled time in flocking: Multi-time-scale interaction reveals emergence of inherent noise.PloS one · 2018Article
- Article
- Effect of Correlations in Swarms on Collective Response.Scientific reports · 2017Article
- Kinetic Models for Topological Nearest-Neighbor Interactions.Journal of statistical physics · 2017Article
- Article
- Using Network Dynamical Influence to Drive Consensus.Scientific reports · 2016Article
- An iterative algorithm for a system of generalized implicit variational inclusions.SpringerPlus · 2016Article
- Vertical transportation systems embedded on shuffled frog leaping algorithm for manufacturing optimisation problems in industries.SpringerPlus · 2016Article
- Article
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2 authors.
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Abstract
Recent empirical and theoretical works on collective behaviors based on a topological interaction are beginning to offer some explanations as for the physical reasons behind the selection of a particular number of nearest neighbors locally affecting each individual's dynamics. Recently, flocking starlings have been shown to topologically interact with a very specific number of neighbors, between six to eight, while metric-free interactions were found to govern human crowd dynamics. Here, we use network- and graph-theoretic approaches combined with a dynamical model of locally interacting self-propelled particles to study how the consensus reaching process and its dynamics are influenced by the number k of topological neighbors. Specifically, we prove exactly that, in the absence of noise, consensus is always attained with a speed to consensus strictly increasing with k. The analysis of both speed and time to consensus reveals that, irrespective of the swarm size, a value of k ~ 10 speeds up the rate of convergence to consensus to levels close to the one of the optimal all-to-all interaction signaling. Furthermore, this effect is found to be more pronounced in the presence of environmental noise.
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