Stability of the splay state in networks of pulse-coupled neurons

DOI10.1186/2190-8567-2-12zbMath1291.92044arXiv1201.6594OpenAlexW2096714569WikidataQ39230474 ScholiaQ39230474MaRDI QIDQ2251509

Alessandro Torcini, Simona Olmi, Antonio Z. Politi

Publication date: 14 July 2014

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

Full work available at URL: https://arxiv.org/abs/1201.6594

zbMATH Keywords

Floquet spectrapulse-coupled neural networkssplay states

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (2)

The mathematics behind chimera states ⋮ Stable chaos in fluctuation driven neural circuits

Cites Work

• Constants of motion for superconducting Josephson arrays
• Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons.
• Synchronization of Pulse-Coupled Biological Oscillators
• Three identical oscillators with symmetric coupling
• Coupled arrays of Josephson junctions and bifurcation of maps with S_Nsymmetry
• Mean-field analysis of neuronal spike dynamics
• Splay States in Finite Pulse-Coupled Networks of Excitable Neurons
• A new approach to partial synchronization in globally coupled rotators
• Synchrony, stability, and firing patterns in pulse-coupled oscillators

This page was built for publication: Stability of the splay state in networks of pulse-coupled neurons