Instability of synchronized motion in nonlocally coupled neural oscillators

Abstract

We study nonlocally coupled Hodgkin-Huxley equations with excitatory and inhibitory synaptic coupling. We investigate the linear stability of the synchronized solution, and find numerically various nonuniform oscillatory states such as chimera states, wavy states, clustering states, and spatiotemporal chaos as a result of the instability.

arXiv comment8 pages, 9 figures

References in corpus (2)

• Chimera States for Coupled Oscillators
• Oscillatory phase transition and pulse propagation in noisy integrate-and-fire neurons

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