Liang CR2024-09-042024-09-042023-08-21Laing CR. (2023). Chimeras in phase oscillator networks locally coupled through an auxiliary field: Stability and bifurcations.. Chaos. 33. 8. (pp. 083141-).1054-1500https://mro.massey.ac.nz/handle/10179/71409We study networks in the form of a lattice of nodes with a large number of phase oscillators and an auxiliary variable at each node. The only interactions between nodes are nearest-neighbor. The Ott/Antonsen ansatz is used to derive equations for the order parameters of the phase oscillators at each node, resulting in a set of coupled ordinary differential equations. Chimeras are steady states of these equations, and we follow them as parameters are varied, determining their stability and bifurcations. In two-dimensional domains, we find that spiral wave chimeras and rotating waves have significantly different properties than those in networks with nonlocal coupling.(c) 2023 The Author/sCC BY 4.0https://creativecommons.org/licenses/by/4.0/Journal article10.1063/5.01566271089-7682journal-article083141-https://www.ncbi.nlm.nih.gov/pubmed/380607840831412907441