{"id":"https://openalex.org/W7225313761","doi":"https://doi.org/10.1088/1361-6544/aebad9","title":"Bifurcation at depinning transition for Frenkel\u2013Kontorova models *","display_name":"Bifurcation at depinning transition for Frenkel\u2013Kontorova models *","publication_year":2026,"publication_date":"2026-11-05","ids":{"openalex":"https://openalex.org/W7225313761","doi":"https://doi.org/10.1088/1361-6544/aebad9"},"language":"en","primary_location":{"id":"doi:10.1088/1361-6544/aebad9","doi":"https://doi.org/10.1088/1361-6544/aebad9","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1361-6544/aebad9","pdf_url":"https://iopscience.iop.org/article/10.1088/1361-6544/aebad9/pdf","source":{"id":"https://openalex.org/S158842918","display_name":"Nonlinearity","issn_l":"0951-7715","issn":["0951-7715","1361-6544"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinearity","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1088/1361-6544/aebad9/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100844232","display_name":"Wen-Xin Qin","orcid":"https://orcid.org/0000-0003-1920-2086","observed_orcids":["https://orcid.org/0000-0003-1920-2086"]},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wen-Xin Qin","raw_affiliation_strings":["Soochow University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Soochow University","institution_ids":["https://openalex.org/I3923682"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100844232"],"corresponding_institution_ids":["https://openalex.org/I3923682"],"apc_list":{"value":3325,"currency":"USD","value_usd":3325},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"39","issue":"11","first_page":"115002","last_page":"115002"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.4041000008583069,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.4041000008583069,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.3127000033855438,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.21449999511241913,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/frenkel-kontorova-model","display_name":"Frenkel-Kontorova model","score":0.9549999833106995},{"id":"https://openalex.org/keywords/depinning-transition","display_name":"depinning transition","score":0.996999979019165},{"id":"https://openalex.org/keywords/bifurcation","display_name":"bifurcation","score":0.8999999761581421},{"id":"https://openalex.org/keywords/granular-materials","display_name":"granular materials","score":0.43700000643730164},{"id":"https://openalex.org/keywords/stick-slip-dynamics","display_name":"stick-slip dynamics","score":0.5460000038146973}],"concepts":[{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.8536999821662903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7046999931335449},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.6129000186920166},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6000999808311462},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.48730000853538513},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.45829999446868896},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.42160001397132874},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.3978999853134155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3903000056743622},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3874000012874603},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.3727000057697296},{"id":"https://openalex.org/C73888704","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Heteroclinic bifurcation","level":5,"score":0.3702000081539154},{"id":"https://openalex.org/C194232998","wikidata":"https://www.wikidata.org/wiki/Q1606712","display_name":"Transition (genetics)","level":3,"score":0.3693999946117401},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.3546999990940094},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.3212999999523163},{"id":"https://openalex.org/C22257346","wikidata":"https://www.wikidata.org/wiki/Q4937510","display_name":"Bogdanov\u2013Takens bifurcation","level":5,"score":0.28630000352859497},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2858999967575073},{"id":"https://openalex.org/C165150564","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Infinite-period bifurcation","level":5,"score":0.2768999934196472},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.27649998664855957},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.26600000262260437},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.2632000148296356},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.26030001044273376},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.25189998745918274}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/1361-6544/aebad9","doi":"https://doi.org/10.1088/1361-6544/aebad9","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1361-6544/aebad9","pdf_url":"https://iopscience.iop.org/article/10.1088/1361-6544/aebad9/pdf","source":{"id":"https://openalex.org/S158842918","display_name":"Nonlinearity","issn_l":"0951-7715","issn":["0951-7715","1361-6544"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinearity","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1088/1361-6544/aebad9","doi":"https://doi.org/10.1088/1361-6544/aebad9","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1361-6544/aebad9","pdf_url":"https://iopscience.iop.org/article/10.1088/1361-6544/aebad9/pdf","source":{"id":"https://openalex.org/S158842918","display_name":"Nonlinearity","issn_l":"0951-7715","issn":["0951-7715","1361-6544"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinearity","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1492489102","display_name":null,"funder_award_id":"12171347","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7225313761.pdf","grobid_xml":"https://content.openalex.org/works/W7225313761.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1584414181","https://openalex.org/W1981169260","https://openalex.org/W2007242618","https://openalex.org/W2012420001","https://openalex.org/W2012827504","https://openalex.org/W2027914143","https://openalex.org/W2132166704","https://openalex.org/W2258685316","https://openalex.org/W2522559858","https://openalex.org/W4412958428"],"related_works":["https://openalex.org/W2490924627","https://openalex.org/W2079290996","https://openalex.org/W1993771515","https://openalex.org/W1547897890","https://openalex.org/W3112884394","https://openalex.org/W2015708124","https://openalex.org/W2258944079","https://openalex.org/W2045947573","https://openalex.org/W2052439743","https://openalex.org/W2045177724"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"that":[3],"the":[4,8],"bifurcation":[5],"happening":[6],"at":[7],"depinning":[9],"transition":[10],"of":[11],"Frenkel\u2013Kontorova":[12],"models":[13],"with":[14],"spatially":[15],"periodic":[16],"conditions":[17],"is":[18],"generically":[19],"a":[20,24],"\u2018saddle":[21],"node":[22],"on":[23],"cycle\u2019,":[25],"as":[26],"commented":[27],"by":[28],"Baesens":[29],"and":[30],"MacKay":[31],"(1998":[32],"Nonlinearity":[33],"11":[34],"949\u201364).":[35]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-11-06T00:00:00"}
