International Journal of Bifurcation and Chaos, Journal Year: 2024, Volume and Issue: 34(07)
Published: June 6, 2024
Robust synchrony in network dynamics is governed by balanced colorings and the corresponding quotient network, also formalized terms of graph fibrations. Dynamics bifurcations are constrained — often surprising ways associated subspaces, which invariant under all admissible ordinary differential equations (ODEs). The class ODEs determined a groupoid, whose objects input sets nodes morphisms isomorphisms between those sets. We define coloring subgroupoid to coloring, leading groupoid interpretations networks. first half paper mainly tutorial. second half, new, characterizes structure proves that normal transition elements.
Language: Английский