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

Authors

Andrea Bel, Universidad Nacional del Sur
Horacio G. Rotstein, New Jersey Institute of Technology

Document Type

Syllabus

Publication Date

1-1-2019

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.

Identifier

85072040034 (Scopus)

Publication Title

Trends in Mathematics

External Full Text Location

https://doi.org/10.1007/978-3-030-25261-8_24

e-ISSN

2297024X

ISSN

22970215

First Page

155

Last Page

159

Volume

11

Grant

DMS-1608077

Fund Ref

National Science Foundation

Recommended Citation

Bel, Andrea and Rotstein, Horacio G., "Resonance-Based Mechanisms of Generation of Relaxation Oscillations in Networks of Non-oscillatory Neurons" (2019). Faculty Publications. 8035.
https://digitalcommons.njit.edu/fac_pubs/8035