In-phase oscillations from the cooperation of cellular and network positive feedback in synaptically-coupled oscillators
| العنوان: | In-phase oscillations from the cooperation of cellular and network positive feedback in synaptically-coupled oscillators |
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| المؤلفون: | Omar Juarez-Alvarez, Alessio Franci |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | FOS: Biological sciences, Quantitative Biology - Neurons and Cognition, FOS: Mathematics, FOS: Physical sciences, Neurons and Cognition (q-bio.NC), Dynamical Systems (math.DS), Chaotic Dynamics (nlin.CD), Mathematics - Dynamical Systems, Nonlinear Sciences - Chaotic Dynamics |
| الوصف: | We study the emergent dynamics of a network of synaptically coupled slow-fast oscillators. Synaptic coupling provides a network-level positive feedback mechanism that cooperates with cellular-level positive feedback to ignite in-phase network oscillations. Using analytical bifurcation analysis, we prove that the Perron-Frobenius eigenvector of the network adjacency matrix fully controls the oscillation pattern locally in a neighborhood of a Hopf bifurcation. Besides shifting the focus from the spectral properties of the network Laplacian matrix to the network adjacency matrix, we discuss other key differences between synaptic and diffusive coupling. 6 pages, 3 figures, Conference on Decision and Control 2021 |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::736572052b9ea548e45fdd123280a45f http://arxiv.org/abs/2109.13932 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....736572052b9ea548e45fdd123280a45f |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |