Mark Olenik ^* Conor Houghton

• University of Bristol, Bristol, United Kingdom

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % This is just an example/guide for you to refer to when submitting manuscripts to Frontiers, it is not mandatory to use Frontiers .cls files nor frontiers.tex % This will only generate the Manuscript, the final article will be typeset by Frontiers after acceptance. % When submitting your files, remember to upload this *tex file, the pdf generated with it, the *bib file (if bibliography is not within the *tex) and all the figures. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%% Version 3.3 Generated 2018/06/15 %%% %%% You will need to have the following packages installed: datetime, fmtcount, etoolbox, fcprefix, which are normally included in WinEdt. %%% %%% In http://www.ctan.org/ you can find the packages and how to install them, if necessary. %%% \documentclass[utf8]{frontiers_correction} %\setcitestyle{square} % for articles in the journals "Frontiers in Physics" and "Frontiers in Applied Mathematics and Statistics" \usepackage{url,hyperref,lineno,microtype} \usepackage[onehalfspacing]{setspace} \linenumbers % Leave a blank line between paragraphs instead of using \\ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % A corrigendum refers to a change to their article that the author wishes to publish after publication. 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The correct statement is “Key Development Project of Department of Science and Technology (2015C03Bd051).’’ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \def\keyFont{\fontsize{8}{11}\helveticabold } \def\firstAuthorLast{Sample {et~al.}} %use et al only if is more than 1 author \def\Authors{Mark Olenik\,$^{1,*}$ and Conor Houghton\,$^{2}$} % Affiliations should be keyed to the author's name with superscript numbers and be listed as follows: Laboratory, Institute, Department, Organization, City, State abbreviation (USA, Canada, Australia), and Country (without detailed address information such as city zip codes or street names). % Affiliations of all authors must be the same as they appear in the published original version of the article, unless affiliations are being corrected in the corrigendum, in which case use the new affiliations. % If one of the authors has a change of address, list the new address below the correspondence details using a superscript symbol and use the same symbol to indicate the author in the author list. \def\Address{$^{1}$School of Biological Sciences, Faculty of Life Sciences, University of Bristol, Bristol, United Kingdom \\ $^{2}$School of Computer Science, Electrical and Electronic Engineering, and Engineering Mathematics, Faculty of Engineering, University of Bristol, Bristol, United Kingdom} \def\corrAuthor{Mark Olenik} \def\corrEmail{m.olenik@bristol.ac.uk} \begin{document} \onecolumn \firstpage{1} \title {Corrigendum: A Scalar Poincaré Map for Anti-phase Bursting in Coupled Inhibitory Neurons With Synaptic Depression.} % this must be the full title of the original article \author[\firstAuthorLast ]{\Authors} %This field will be automatically populated \address{} %This field will be automatically populated \correspondance{} %This field will be automatically populated \extraAuth{}% If there are more than 1 corresponding authors, comment this line and uncomment the next one. %\extraAuth{corresponding Author2 \\ Laboratory X2, Institute X2, Department X2, Organization X2, Street X2, City X2 , State XX2 (only USA, Canada and Australia), Zip Code2, X2 Country X2, email2@uni2.edu} \maketitle {\tiny {\keyFont{ \*{Keywords:} Poincaré map, neuronal bursting, dynamical system (DS), synaptic depression, central pattern generator }}} % These must be taken from the original version of the article. \subsection*{A Corrigendum on \textit{A Scalar Poincaré Map for Anti-phase Bursting in Coupled Inhibitory Neurons With Synaptic Depression.}} % Insert citation from original version of the article. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Please pick the most relevant text template(s), delete all others, and edit as necessary. Clearly state the mistake being fixed. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \vspace{10mm} \subsection*{Text Correction} In the published article, there were errors in Equations 51-54. The correct Equations 51-52 are: \begin{align} \bar g_{\mathcal{L}}(n+1) & < \bar g_{\mathcal{R}}(n)\tag{51}, \\ \bar g_{\mathcal{R}}(n+1) - \bar g_{\mathcal{L}}(n+1) & < \bar g_{\mathcal{R}}(n) - \bar g_{\mathcal{L}}(n)\tag{52}. \end{align} The correct Equation 53 is \begin{equation} F_n(\phi_n(\bar g), \bar g) = T_{s}.\tag{53} \end{equation} The correct Equation 54 is \begin{equation} \mathcal{R}_{n}(\bar g):=F_n(\phi_n(\bar g), \bar g)-T_{s}. \tag{54} \end{equation} A correction has been made to \textbf{Results}, \textbf{\textit{section 3.6}}.\par The authors apologize for this error and state that this does not change the scientific conclusions of the article in any way. 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