Open AccessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Kundu Prosenjit, MacLaren Neil G., Kori Hiroshi and Masuda Naoki 2023Correction to: ‘Mean-field theory for double-well systems on degree-heterogeneous networks’ (2023) by Kundu et al.Proc. R. Soc. A.4792023017120230171http://doi.org/10.1098/rspa.2023.0171SectionOpen AccessCorrectionCorrection to: ‘Mean-field theory for double-well systems on degree-heterogeneous networks’ (2023) by Kundu et al. Prosenjit Kundu Prosenjit Kundu http://orcid.org/0000-0002-0442-6784 Google Scholar Find this author on PubMed Search for more papers by this author , Neil G. MacLaren Neil G. MacLaren http://orcid.org/0000-0002-8478-8530 Google Scholar Find this author on PubMed Search for more papers by this author , Hiroshi Kori Hiroshi Kori http://orcid.org/0000-0003-2899-7896 Google Scholar Find this author on PubMed Search for more papers by this author and Naoki Masuda Naoki Masuda http://orcid.org/0000-0003-1567-801X Google Scholar Find this author on PubMed Search for more papers by this author Prosenjit Kundu Prosenjit Kundu http://orcid.org/0000-0002-0442-6784 Google Scholar Find this author on PubMed Search for more papers by this author , Neil G. MacLaren Neil G. MacLaren http://orcid.org/0000-0002-8478-8530 Google Scholar Find this author on PubMed Search for more papers by this author , Hiroshi Kori Hiroshi Kori http://orcid.org/0000-0003-2899-7896 Google Scholar Find this author on PubMed Search for more papers by this author and Naoki Masuda Naoki Masuda http://orcid.org/0000-0003-1567-801X Google Scholar Find this author on PubMed Search for more papers by this author Published:19 April 2023https://doi.org/10.1098/rspa.2023.0171This article corrects the followingResearch ArticleMean-field theory for double-well systems on degree-heterogeneous networkshttps://doi.org/10.1098/rspa.2022.0350 Prosenjit Kundu, Neil G. MacLaren, Hiroshi Kori and Naoki Masuda volume 478issue 2264Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences31 August 2022Proc. R. Soc. A478, 20220350. (Published online 31 August 2022) (https://doi.org/10.1098/rspa.2022.0350)Equation (3.5) was replaced with: Θ∗=1N⟨k⟩[∑k<k~kp(k)xℓ(k)+∑k≥k~kp(k)xu(k)].0.1Equations (4.4) and (4.5) were replaced with: uc,ℓ=y~(1)−DkmaxΘ∗,ℓ0.2and uc,u=y~(1)−DkminΘ∗,u,0.3respectively, also: Θ∗,ℓ=1N⟨k⟩∑kkp(k)xℓ(k)0.4and Θ∗,u=1N⟨k⟩∑kkp(k)xu(k).0.5The beginning of the sentence right after equation (4.5), i.e. ‘Therefore, except for regular networks (i.e. those in which all nodes have the same degree),’ has been replaced with the following text:‘We obtain kmax≫kmin in most networks. In contrast, the values of Θ∗,ℓ and Θ∗,u are comparable although Θ∗,ℓ<Θ∗,u. Therefore, except when kmax and kmin are close to each other, including the case of regular networks (i.e. those in which all nodes have the same degree),’.In the last sentence in the same paragraph, ‘(u−y~(2))/kmax’ and ‘(u−y~(1))/kmin’ has been replaced with ‘(y~(1)−u)/(kmaxΘ∗,ℓ)’ and ‘(y~(1)−u)/(kminΘ∗,u)’, respectively.In the seventh from last line on p. 9, ‘proportional’ has been replaced with ‘roughly proportional’.In the fourth from last line on p. 9, ‘y~(2)/kmin−y~(1)/kmax’ has been replaced with ‘1/kmin−1/kmax’.In the third and second from last lines on p. 9, the sentence‘Note that D∈((u−y~(2))/kmax,(u−y~(1))/kmin) implies that the size of the range of D is proportional to y~(2)/kmin−y~(1)/kmax.’has been replaced with:‘Note that D∈((y~(1)−u)/(kmaxΘ∗,ℓ),(y~(1)−u)/(kminΘ∗,u)) implies that the size of the range of D is roughly proportional to 1/kmin−1/kmax.’.Figure 5b has been replaced with the following figure. Previous Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsRelated articlesMean-field theory for double-well systems on degree-heterogeneous networks31 August 2022Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences This IssueApril 2023Volume 479Issue 2272 Article InformationDOI:https://doi.org/10.1098/rspa.2023.0171Published by:Royal SocietyOnline ISSN:1471-2946History: Manuscript received08/03/2023Manuscript accepted20/03/2023Published online19/04/2023Published in print26/04/2023 License:© 2023 The Authors.Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. Citations and impact Subjectscomplexity
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