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• W3100889734 abstract "We examine analytically the existence and stability of phase-locked states in a weakly heterogeneous neuronal network. We consider a model of N neurons with all-to-all synaptic coupling where the heterogeneity is in the firing frequency or intrinsic drive of the neurons. We consider both inhibitory and excitatory coupling. We derive the conditions under which stable phase-locking is possible. In homogeneous networks, many different periodic phase-locked states are possible. Their stability depends on the dynamics of the neuron and the coupling. For weak heterogeneity, the phase-locked states are perturbed from the homogeneous states and can remain stable if their homogeneous conterparts are stable. For enough heterogeneity, phase-locked solutions either lose stability or are destroyed completely. We analyze the possible states the network can take when phase-locking is broken." @default.
• W3100889734 created "2020-11-23" @default.
• W3100889734 creator A5034374861 @default.
• W3100889734 date "1998-07-01" @default.
• W3100889734 modified "2023-09-26" @default.
• W3100889734 title "Phase-locking in weakly heterogeneous neuronal networks" @default.
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• W3100889734 doi "https://doi.org/10.1016/s0167-2789(98)00082-7" @default.
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