{"id":"https://openalex.org/W2158313478","doi":"https://doi.org/10.1142/s0218127415500625","title":"Bifurcations and Exact Solutions in a Model of Hydrogen-Bonded-Chains","display_name":"Bifurcations and Exact Solutions in a Model of Hydrogen-Bonded-Chains","publication_year":2015,"publication_date":"2015-04-01","ids":{"openalex":"https://openalex.org/W2158313478","doi":"https://doi.org/10.1142/s0218127415500625","mag":"2158313478"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127415500625","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415500625","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5100599691","display_name":"Jibin Li","orcid":"https://orcid.org/0000-0003-4839-5956"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]},{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jibin Li","raw_affiliation_strings":["Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, P. R. China","Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, P. R. China","institution_ids":["https://openalex.org/I10660446"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109720231","display_name":"Fengjuan Chen","orcid":"https://orcid.org/0000-0002-1663-4812"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengjuan Chen","raw_affiliation_strings":["Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082951485","display_name":"Aur\u00e9lien Serge Tchakoutio Nguetcho","orcid":"https://orcid.org/0000-0001-5052-0803"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]},{"id":"https://openalex.org/I213072177","display_name":"University of Maroua","ror":"https://ror.org/051sa4h84","country_code":"CM","type":"education","lineage":["https://openalex.org/I213072177"]}],"countries":["CM","FR"],"is_corresponding":false,"raw_author_name":"A. S. Tchakoutio-Nguetcho","raw_affiliation_strings":["Laboratoire Interdisciplinaire des Sciences et Sciences, Appliqu\u00e9es du Sahel (LISSAS), D\u00e9partement des Physiques, Universit\u00e9 de Maroua, BP 46, Maroua, Cameroon","Laboratoire LE2I UMR CNRS 6306, Aile des Sciences de l'ingnieur, Universit de Bourgogne, BP 47870, 21078 Dijon Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire Interdisciplinaire des Sciences et Sciences, Appliqu\u00e9es du Sahel (LISSAS), D\u00e9partement des Physiques, Universit\u00e9 de Maroua, BP 46, Maroua, Cameroon","institution_ids":["https://openalex.org/I213072177"]},{"raw_affiliation_string":"Laboratoire LE2I UMR CNRS 6306, Aile des Sciences de l'ingnieur, Universit de Bourgogne, BP 47870, 21078 Dijon Cedex, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I177064439"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2144,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.56516276,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"25","issue":"04","first_page":"1550062","last_page":"1550062"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems","score":0.9984999895095825,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9984999895095825,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9977999925613403,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/peakon","display_name":"Peakon","score":0.8344086408615112},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.8097904920578003},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.521457850933075},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.5018327236175537},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5010850429534912},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4518354833126068},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4492829144001007},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44121283292770386},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.41957688331604004},{"id":"https://openalex.org/keywords/singular-solution","display_name":"Singular solution","score":0.4178260564804077},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.38576462864875793},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.355379581451416},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33730074763298035},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3222428560256958},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.18019527196884155},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13363021612167358},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12029582262039185}],"concepts":[{"id":"https://openalex.org/C155091195","wikidata":"https://www.wikidata.org/wiki/Q7157892","display_name":"Peakon","level":3,"score":0.8344086408615112},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.8097904920578003},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.521457850933075},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.5018327236175537},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5010850429534912},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4518354833126068},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4492829144001007},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44121283292770386},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.41957688331604004},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.4178260564804077},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.38576462864875793},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.355379581451416},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33730074763298035},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3222428560256958},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.18019527196884155},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13363021612167358},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12029582262039185},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127415500625","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415500625","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1971526138","https://openalex.org/W2167702145","https://openalex.org/W2169817014","https://openalex.org/W4289981527"],"related_works":["https://openalex.org/W2084665907","https://openalex.org/W2053879682","https://openalex.org/W2029939732","https://openalex.org/W3019927421","https://openalex.org/W3123020351","https://openalex.org/W2030202422","https://openalex.org/W4283730124","https://openalex.org/W2604526608","https://openalex.org/W2754726100","https://openalex.org/W1979245199"],"abstract_inverted_index":{"A":[0],"model":[1],"of":[2,4,17,36,43,46,60,74],"dynamics":[3],"protons":[5],"in":[6,63,80],"hydrogen-bonded":[7],"quasi-one-dimensional":[8],"networks":[9],"was":[10],"derived,":[11],"which":[12],"is":[13,77],"a":[14],"singular":[15,26,53],"system":[16,62,98],"the":[18,34,41,47,52,57,61],"second":[19],"kind":[20],"with":[21],"three":[22],"parameters":[23],"and":[24,92],"two":[25],"straight":[27],"lines.":[28],"In":[29],"this":[30],"paper,":[31],"we":[32,67],"use":[33],"method":[35],"dynamical":[37],"systems":[38],"to":[39,56],"discuss":[40],"bifurcations":[42],"phase":[44,58],"portraits":[45],"vector":[48],"fields":[49],"defined":[50],"by":[51],"system.":[54],"Corresponding":[55],"orbits":[59],"different":[64],"parameter":[65,82],"conditions,":[66,83],"compute":[68],"all":[69],"possible":[70],"exact":[71],"parametric":[72],"representations":[73],"solutions.":[75,95],"It":[76],"shown":[78],"that":[79],"given":[81],"there":[84],"exist":[85],"solitary":[86],"wave":[87,90,94],"solutions,":[88],"kink":[89],"solutions":[91],"periodic":[93],"The":[96],"mentioned":[97],"has":[99],"no":[100],"peakon":[101],"solution.":[102]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}