The Kuramoto model provides a paradigmatic framework for studying synchronization of interacting oscillators, and has been generalized to arbitrary dimensions to describe swarms, flocks and multi-dimensional opinion dynamics. Yet, existing formulations neglect inertia, a key mechanism known to enhance information propa...
K. Kovalenko, Bruce X. Dai, Fan-Shu Fang et al.· 0 citations
ABSTRACT Localized oscillatory patterns, confined to finite spatial domains or subsets of nodes in a network, have been observed in cortical neurons, metacommunity ecosystems, and chemical experiments.Previous studies have shown that wave bifurcations (oscillatory Turing instabilities) in undirected networked reaction–...
Zhi-Chao Xue, Xiao-Feng Luo, Li Li et al.· National Science Review· 0 citations
This work generalizes three distance-based topological measures, namely closeness centrality, betweenness centrality and node eccentricity, using this new hypergraph distance, and shows that hypergraphs can be divided into three distinct classes, corresponding to the possible dominance of specific orders of interaction...
E. Vasil'yeva, L. Tupikina, D. Musatov et al.· Chaos, Solitons & Fracta...· 0 citations
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