How synaptic weights determine stability of synchrony in networks of pulse-coupled excitatory and inhibitory oscillators

DOI10.1063/1.4749794zbMath1319.34055OpenAlexW2065600820WikidataQ47772532 ScholiaQ47772532MaRDI QIDQ2944608

Birgit Kriener

Publication date: 2 September 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c9eaa3bcfe6639c6bcf66afa6eaf7f92878a945d

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Signed and weighted graphs (05C22) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (1)

Conditional random matrix ensembles and the stability of dynamical systems

Cites Work

• Unnamed Item
• Stable and unstable periodic orbits in complex networks of spiking neurons with delays
• Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons.
• Statistical mechanics of complex networks
• Synchronization of Pulse-Coupled Biological Oscillators
• The simplest problem in the collective dynamics of neural networks: is synchrony stable?
• Spiking Neuron Models
• Synchronization in Networks of Excitatory and Inhibitory Neurons with Sparse, Random Connectivity
• Collective dynamics of ‘small-world’ networks
• Exploring complex networks

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