Oscillatory Rhythms in a Model Network of Excitatory and Inhibitory Neurons
DOI10.1137/18M1200877zbMath1429.34045MaRDI QIDQ5382444
Publication date: 14 June 2019
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
neural networkinvariant manifoldrelaxation oscillationexcitatory neuroninhibitory neuronoscillatory rhythm
Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26) Biological rhythms and synchronization (92B25) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multistability of clustered states in a globally inhibitory network
- Mathematical foundations of neuroscience
- Geometric singular perturbation theory for ordinary differential equations
- Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
- In-phase and antiphase self-oscillations in a model of two electrically coupled pacemakers
- Global competition and local cooperation in a network of neural oscillators
- Anti-phase solutions in relaxation oscillators coupled through excitatory interactions
- Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons
- Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons.
- Relaxation oscillations in \({\mathbb R}^3\)
- Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks
- Dynamics of two mutually coupled slow inhibitory neurons
- Bistable Oscillations Arising from Synaptic Depression
- Stable Antiphase Oscillations in a Network of Electrically Coupled Model Neurons
- Chaotic attractors of relaxation oscillators
- Asynchronous States and the Emergence of Synchrony in Large Networks of Interacting Excitatory and Inhibitory Neurons
- Synchronization in Networks of Excitatory and Inhibitory Neurons with Sparse, Random Connectivity
- Stability of Antiphase Oscillations in a Network of Inhibitory Neurons
- Stability of Anti-Phase and In-Phase Locking by Electrical Coupling but Not Fast Inhibition Alone
- Analysis of clustered firing patterns in synaptically coupled networks of oscillators
This page was built for publication: Oscillatory Rhythms in a Model Network of Excitatory and Inhibitory Neurons
