Dynamics in a phase model of half-center oscillator: two neurons with excitatory coupling

DOI10.1016/j.cnsns.2021.106045zbMath1475.92040arXiv2011.04634OpenAlexW3198998847WikidataQ112880709 ScholiaQ112880709MaRDI QIDQ2247070

A. G. Maksimov, Alexander G. Korotkov, Michael A. Zaks, Tatiana A. Levanova, Grigory V. Osipov

Publication date: 16 November 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.04634

zbMATH Keywords

bifurcationscentral pattern generatorhalf-center oscillatoranti-phase spikingin-phase spikingtheta-neuron

Mathematics Subject Classification ID

Neural biology (92C20)

Cites Work

• The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: a mathematical model
• Bifurcations of limit cycles in a reduced model of the Xenopus tadpole central pattern generator
• The dynamics of ensemble of neuron-like elements with excitatory couplings
• Computational exposition of multistable rhythms in 4-cell neural circuits
• Explicit maps to predict activation order in multiphase rhythms of a coupled cell network
• Reducing neuronal networks to discrete dynamics
• Making a Swim Central Pattern Generator Out of Latent Parabolic Bursters
• Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
• Models of central pattern generators for quadruped locomotion. I: Primary gaits.

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