Front. Appl. Math. Stat. Frontiers in Applied Mathematics and Statistics Front. Appl. Math. Stat. 2297-4687 Frontiers Media S.A. 10.3389/fams.2024.1471447 Applied Mathematics and Statistics Correction Corrigendum: A scalar Poincaré map for anti-phase bursting in coupled inhibitory neurons with synaptic depression Olenik Mark 1 * Houghton Conor 2 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

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

 *Correspondence: Mark Olenik m.olenik@bristol.ac.uk 06 11 2024 2024 10 1471447 27 07 2024 07 10 2024 Copyright © 2024 Olenik and Houghton. 2024 Olenik and Houghton

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 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 Poincaré map neuronal bursting dynamical system (DS) synaptic depression central pattern generator 102374/Z/13/Z Wellcome Trust10.13039/100010269 section-at-acceptance Dynamical Systems

In the published article, there were errors in Equations 51–54. The correct Equations 51, 52 are:

ḡL(n+1)<ḡR(n) ḡR(n+1)-ḡL(n+1)<ḡR(n)-ḡL(n)

The correct Equation 53 is

Fn(ϕn(ḡ),ḡ)=Ts.

The correct Equation 54 is

Rn(ḡ):=Fn(ϕn(ḡ),ḡ)-Ts.

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.

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