Clustering in a network of non-identical and mutually interacting agents
Author(s) -
Filip De Smet,
Dirk Aeyels
Publication year - 2008
Publication title -
proceedings of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
eISSN - 1471-2946
pISSN - 1364-5021
DOI - 10.1098/rspa.2008.0259
Subject(s) - cluster analysis , cluster (spacecraft) , statistical physics , swarm behaviour , swarming (honey bee) , kuramoto model , computer science , coupling (piping) , complex system , phenomenon , synchronization (alternating current) , mathematics , physics , artificial intelligence , topology (electrical circuits) , ecology , combinatorics , engineering , mechanical engineering , quantum mechanics , biology , programming language
spa ng mo ve Proc. R. Soc. A (2009) 465, 745–768 doi:10.1098/rspa.2008.0259 Published online 25 November 2008both necessary and sufficient conditions for clustering behaviour of the model and we investigate the cluster structure for varying coupling strength. Generically, each cluster asymptotically reaches a (relative) equilibrium state. We discuss the relationship of the model to swarming, and we explain how the model equations naturally arise in a system of interconnected water basins. We also indicate how the model applies to opinion formation dynamics
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