{"id":"https://openalex.org/W4409341446","doi":"https://doi.org/10.1137/24m1671128","title":"Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen\u2013Cahn Approach","display_name":"Asymptotic and Stability Analysis of Kinetic Models for Opinion Formation on Networks: An Allen\u2013Cahn Approach","publication_year":2025,"publication_date":"2025-04-10","ids":{"openalex":"https://openalex.org/W4409341446","doi":"https://doi.org/10.1137/24m1671128"},"language":"en","primary_location":{"id":"doi:10.1137/24m1671128","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1671128","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069220813","display_name":"Martin Burger","orcid":"https://orcid.org/0000-0003-2619-2912"},"institutions":[{"id":"https://openalex.org/I2801876189","display_name":"Deutsches Elektronen-Synchrotron DESY","ror":"https://ror.org/01js2sh04","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2801876189"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Burger","raw_affiliation_strings":["Helmholtz Imaging, Deutsches Elektronen-Synchrotron DESY, Notkestr.\u00a085, 22607 Hamburg, Germany; and Fachbereich Mathematik, Universit\u00e4t Hamburg, Bundesstrasse 55, Hamburg, 20146, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Helmholtz Imaging, Deutsches Elektronen-Synchrotron DESY, Notkestr.\u00a085, 22607 Hamburg, Germany; and Fachbereich Mathematik, Universit\u00e4t Hamburg, Bundesstrasse 55, Hamburg, 20146, Germany","institution_ids":["https://openalex.org/I2801876189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031028116","display_name":"Nadia Loy","orcid":"https://orcid.org/0000-0002-0705-8489"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Nadia Loy","raw_affiliation_strings":["Dipartimento di Scienze Matematica \u201cG.L. Lagrange\u201d, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy"],"raw_orcid":"https://orcid.org/0000-0002-0705-8489","affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematica \u201cG.L. Lagrange\u201d, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080072698","display_name":"Alex Rossi","orcid":"https://orcid.org/0000-0002-2130-2652"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alex Rossi","raw_affiliation_strings":["Department of Mathematics, Friedrich\u2013Alexander\u2013Universitat Erlangen\u2013Nurnberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Friedrich\u2013Alexander\u2013Universitat Erlangen\u2013Nurnberg, Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8037,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70703908,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"24","issue":"2","first_page":"1042","last_page":"1069"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10557","display_name":"Social Media and Politics","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/3315","display_name":"Communication"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6157816648483276},{"id":"https://openalex.org/keywords/kinetic-energy","display_name":"Kinetic energy","score":0.595565140247345},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5049551129341125},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4650571942329407},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4178297519683838},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4163321852684021},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4002213478088379},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3710238039493561},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36207902431488037},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.26179730892181396},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15609797835350037}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6157816648483276},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.595565140247345},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5049551129341125},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4650571942329407},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4178297519683838},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4163321852684021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4002213478088379},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3710238039493561},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36207902431488037},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.26179730892181396},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15609797835350037},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1671128","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1671128","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5557930034","display_name":null,"funder_award_id":"PRIN2022-PNRR","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G8849184229","display_name":null,"funder_award_id":"CUP: E53D23018070001","funder_id":"https://openalex.org/F7311471023","funder_display_name":"NextGenerationEU"}],"funders":[{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F7311471023","display_name":"NextGenerationEU","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W196325668","https://openalex.org/W1555674425","https://openalex.org/W1982839492","https://openalex.org/W1993233885","https://openalex.org/W2000042664","https://openalex.org/W2008620264","https://openalex.org/W2028923743","https://openalex.org/W2037824076","https://openalex.org/W2088551674","https://openalex.org/W2101028818","https://openalex.org/W2101267973","https://openalex.org/W2112090702","https://openalex.org/W2121821841","https://openalex.org/W2124637492","https://openalex.org/W2134601553","https://openalex.org/W2136404093","https://openalex.org/W2800467423","https://openalex.org/W2904313266","https://openalex.org/W2946098267","https://openalex.org/W2963793411","https://openalex.org/W3000135580","https://openalex.org/W3097582418","https://openalex.org/W3100191766","https://openalex.org/W3105802976","https://openalex.org/W3118970285","https://openalex.org/W3139294770","https://openalex.org/W3193833796","https://openalex.org/W4223448736","https://openalex.org/W4387231028","https://openalex.org/W4388282514","https://openalex.org/W4391986136"],"related_works":["https://openalex.org/W1974744264","https://openalex.org/W2359412950","https://openalex.org/W2041310076","https://openalex.org/W2153909955","https://openalex.org/W1999290272","https://openalex.org/W2061830197","https://openalex.org/W2030669860","https://openalex.org/W4378834652","https://openalex.org/W3161859090","https://openalex.org/W2313435329"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}