Explicit maps to predict activation order in multiphase rhythms of a coupled cell network

DOI10.1186/2190-8567-2-4zbMath1291.92046OpenAlexW2146304728WikidataQ41479875 ScholiaQ41479875MaRDI QIDQ2251502

Jonathan E. Rubin, David H. Terman

Publication date: 14 July 2014

Published in: The Journal of Mathematical Neuroscience (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2190-8567-2-4

zbMATH Keywords

mapfast-slow analysisrespirationclustered solutionsmultiphase rhythm

Mathematics Subject Classification ID

Neural biology (92C20) Multiple scale methods for ordinary differential equations (34E13)

Related Items (4)

Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling ⋮ Computational exposition of multistable rhythms in 4-cell neural circuits ⋮ Dynamics and bifurcations in multistable 3-cell neural networks ⋮ Dynamics in a phase model of half-center oscillator: two neurons with excitatory coupling

Cites Work

• Multistability of clustered states in a globally inhibitory network
• Global competition and local cooperation in a network of neural oscillators
• Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons
• A model for control of breathing in mammals: coupling neural dynamics to peripheral gas exchange and transport
• Intrinsic bursting activity in the pre-Bötzinger complex: Role of persistent sodium and potassium currents
• Dynamics of two mutually coupled slow inhibitory neurons
• Partial Synchronization in a Network of Neural Oscillators
• Synchronized Activity and Loss of Synchrony Among Heterogeneous Conditional Oscillators
• Analysis of clustered firing patterns in synaptically coupled networks of oscillators

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