Stable Antiphase Oscillations in a Network of Electrically Coupled Model Neurons

DOI10.1137/120863083zbMath1285.34037OpenAlexW2012369431MaRDI QIDQ2871317

Euiwoo Lee, David H. Terman

Publication date: 22 January 2014

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120863083

zbMATH Keywords

neuronal networkelectrical couplingrelaxation oscillatorantiphase solution

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26) Biological rhythms and synchronization (92B25)

Related Items (8)

The role of electrical coupling in generating and modulating oscillations in a neuronal network ⋮ Coupled Multiple Timescale Dynamics in Populations of Endocrine Neurons: Pulsatile and Surge Patterns of GnRH Secretion ⋮ Emergence of bursting in two coupled neurons of different types of excitability ⋮ A multiple timescale network model of intracellular calcium concentrations in coupled neurons: Insights from ROM simulations ⋮ Synchronization of weakly coupled canard oscillators ⋮ Oscillatory Rhythms in a Model Network of Excitatory and Inhibitory Neurons ⋮ Symmetric coupling of multiple timescale systems with mixed-mode oscillations and synchronization ⋮ Stability of Antiphase Oscillations in a Network of Inhibitory Neurons

This page was built for publication: Stable Antiphase Oscillations in a Network of Electrically Coupled Model Neurons