Resonance-Based Mechanisms of Generation of Relaxation Oscillations in Networks of Non-oscillatory Neurons

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We investigate a minimal network model consisting of a 2D linear (non-oscillatory) resonator and a 1D linear cell, mutually inhibited with piecewise-linear graded synapses. We demonstrate that this network can produce oscillations in certain parameter regimes and the corresponding limit gradually transition from regular oscillations (of non-relaxation type) to relaxation oscillations as the levels of mutual inhibition increase.

Original languageEnglish (US)
Title of host publicationTrends in Mathematics
PublisherSpringer International Publishing
Pages155-159
Number of pages5
DOIs
StatePublished - 2019

Publication series

NameTrends in Mathematics
Volume11
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Resonance-Based Mechanisms of Generation of Relaxation Oscillations in Networks of Non-oscillatory Neurons'. Together they form a unique fingerprint.

Cite this