Phase transformation and synchrony for a network of coupled Izhikevich neurons
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866908747985584128 |
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| author | Byrne, Áine |
| author_facet | Byrne, Áine |
| contents | A number of recent articles have employed the Lorentz ansatz to reduce a network of Izhikevich neurons to a tractable mean-field description. In this letter, we construct an equivalent phase model for the Izhikevich model and apply the Ott-Antonsen ansatz, to derive the mean field dynamics in terms of the Kuramoto order parameter. In addition, we show that by defining an appropriate order parameter in the voltage-firing rate framework, the conformal mapping of Montbrió et al., which relates the two mean-field descriptions, remains valid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20055 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Phase transformation and synchrony for a network of coupled Izhikevich neurons Byrne, Áine Neurons and Cognition A number of recent articles have employed the Lorentz ansatz to reduce a network of Izhikevich neurons to a tractable mean-field description. In this letter, we construct an equivalent phase model for the Izhikevich model and apply the Ott-Antonsen ansatz, to derive the mean field dynamics in terms of the Kuramoto order parameter. In addition, we show that by defining an appropriate order parameter in the voltage-firing rate framework, the conformal mapping of Montbrió et al., which relates the two mean-field descriptions, remains valid. |
| title | Phase transformation and synchrony for a network of coupled Izhikevich neurons |
| topic | Neurons and Cognition |
| url | https://arxiv.org/abs/2407.20055 |