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Oscillatory Rhythms in a Model Network of Excitatory and Inhibitory Neurons.
- Source :
-
SIAM Journal on Applied Dynamical Systems . 2019, Vol. 18 Issue 1, p354-392. 39p. - Publication Year :
- 2019
-
Abstract
- Oscillatory rhythms are investigated in a model network where a pair of excitatory neurons interact via an inhibitory neuron. Each individual neuron is modeled as a relaxation oscillator, and a slow/fast decomposition process reduces the problem of a stable oscillatory rhythm to the problem of a stable fixed point of a map. Further reduction of the map is made by finding an invariant manifold. A detailed analysis of the reduced map reveals how different types of stable oscillatory rhythms arise, depending on the intrinsic properties of the individual neurons and the synaptic time constant. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RELAXATION oscillators
*INVARIANT manifolds
*NEURONS
*RHYTHM
*INTERNEURONS
Subjects
Details
- Language :
- English
- ISSN :
- 15360040
- Volume :
- 18
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Applied Dynamical Systems
- Publication Type :
- Academic Journal
- Accession number :
- 144842097
- Full Text :
- https://doi.org/10.1137/18M1200877