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• W2615691503 abstract "We analyze the dynamics of two coupled identical populations of quadratic integrate-and-fire neurons, which represent the canonical model for class I neurons near the spiking threshold. The populations are heterogeneous; they include both inherently spiking and excitable neurons. The coupling within and between the populations is global via synapses that take into account the finite width of synaptic pulses. Using a recently developed reduction method based on the Lorentzian ansatz, we derive a closed system of equations for the neuron's firing rates and the mean membrane potentials in both populations. The reduced equations are exact in the infinite-size limit. The bifurcation analysis of the equations reveals a rich variety of non-symmetric patterns, including a splay state, antiphase periodic oscillations, chimera-like states, also chaotic oscillations as well as bistabilities between various states. The validity of the reduced equations is confirmed by direct numerical simulations of the finite-size networks." @default.
• W2615691503 created "2017-05-26" @default.
• W2615691503 creator A5010438152 @default.
• W2615691503 creator A5065909991 @default.
• W2615691503 date "2017-10-18" @default.
• W2615691503 modified "2023-10-13" @default.
• W2615691503 title "Symmetry breaking in two interacting populations of quadratic integrate-and-fire neurons" @default.
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• W2615691503 doi "https://doi.org/10.1103/physreve.96.042212" @default.
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• W2615691503 hasPublicationYear "2017" @default.
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