In-phase oscillations from the cooperation of cellular and network positive feedback in synaptically-coupled oscillators

Autor:	Juarez-Alvarez, Omar, Franci, Alessio
Rok vydání:	2021
Předmět:	Nonlinear Sciences - Chaotic Dynamics Mathematics - Dynamical Systems Quantitative Biology - Neurons and Cognition
Druh dokumentu:	Working Paper
Popis:	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. Comment: 6 pages, 3 figures, Conference on Decision and Control 2021
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.13932 Zobrazit plný text záznamu View this record from Arxiv