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CORRECTION article

Front. Appl. Math. Stat., 06 November 2024
Sec. Dynamical Systems

Corrigendum: A scalar Poincaré map for anti-phase bursting in coupled inhibitory neurons with synaptic depression

  • 1School of Biological Sciences, Faculty of Life Sciences, University of Bristol, Bristol, United Kingdom
  • 2School of Computer Science, Electrical and Electronic Engineering, and Engineering Mathematics, Faculty of Engineering, University of Bristol, Bristol, United Kingdom

A Corrigendum on
A scalar Poincaré map for anti-phase bursting in coupled inhibitory neurons with synaptic depression

by Olenik, M., and Houghton, C. (2022). Front. Appl. Math. Stat. 8:822782. doi: 10.3389/fams.2022.822782

In the published article, there were errors in Equations 5154. The correct Equations 51, 52 are:

g¯L(n+1)<g¯R(n)    (51)
g¯R(n+1)-g¯L(n+1)<g¯R(n)-g¯L(n)    (52)

The correct Equation 53 is

Fn(ϕn(g¯),g¯)=Ts.    (53)

The correct Equation 54 is

Rn(g¯):=Fn(ϕn(g¯),g¯)-Ts.    (54)

A correction has been made to Results, Section 3.6.

The authors apologize for this error and state that this does not change the scientific conclusions of the article in any way. The original article has been updated.

Publisher's note

All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.

Keywords: Poincaré map, neuronal bursting, dynamical system (DS), synaptic depression, central pattern generator

Citation: Olenik M and Houghton C (2024) Corrigendum: A scalar Poincaré map for anti-phase bursting in coupled inhibitory neurons with synaptic depression. Front. Appl. Math. Stat. 10:1471447. doi: 10.3389/fams.2024.1471447

Received: 27 July 2024; Accepted: 07 October 2024;
Published: 06 November 2024.

Edited and reviewed by: Axel Hutt, Inria Nancy - Grand-Est Research Centre, France

Copyright © 2024 Olenik and Houghton. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

*Correspondence: Mark Olenik, m.olenik@bristol.ac.uk

Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.