{"id":"https://openalex.org/W2970899295","doi":"https://doi.org/10.1142/s0218127419501268","title":"Coexistence of Two-Dimensional Attractors in Border Collision Normal Form","display_name":"Coexistence of Two-Dimensional Attractors in Border Collision Normal Form","publication_year":2019,"publication_date":"2019-08-01","ids":{"openalex":"https://openalex.org/W2970899295","doi":"https://doi.org/10.1142/s0218127419501268","mag":"2970899295"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127419501268","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419501268","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/A5046874104","display_name":"Chi Hong Wong","orcid":"https://orcid.org/0000-0002-3238-3793"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chi Hong Wong","raw_affiliation_strings":["School of Mathematics, Tianjin University, Tianjin 300072, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Tianjin University, Tianjin 300072, P. R. China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101960620","display_name":"Xue Yang","orcid":"https://orcid.org/0000-0003-4810-8929"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue Yang","raw_affiliation_strings":["School of Mathematics, Tianjin University, Tianjin 300072, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Tianjin University, Tianjin 300072, P. R. China","institution_ids":["https://openalex.org/I162868743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046874104"],"corresponding_institution_ids":["https://openalex.org/I162868743"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.11225071,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"29","issue":"09","first_page":"1950126","last_page":"1950126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9929999709129333,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9929999709129333,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.991100013256073,"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9839000105857849,"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/attractor","display_name":"Attractor","score":0.9079138040542603},{"id":"https://openalex.org/keywords/collision","display_name":"Collision","score":0.7487287521362305},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.664213240146637},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5789573788642883},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5436886548995972},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.44580283761024475},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4352518320083618},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3981614410877228},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28530603647232056},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19245901703834534},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18184974789619446}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.9079138040542603},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.7487287521362305},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.664213240146637},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5789573788642883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5436886548995972},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.44580283761024475},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4352518320083618},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3981614410877228},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28530603647232056},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19245901703834534},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18184974789619446},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127419501268","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127419501268","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W2009186763","https://openalex.org/W2009313082","https://openalex.org/W2010920083","https://openalex.org/W2011171775","https://openalex.org/W2068000468","https://openalex.org/W2094656677","https://openalex.org/W2131594701","https://openalex.org/W2143841218","https://openalex.org/W2152586438","https://openalex.org/W2159251357","https://openalex.org/W2255242138","https://openalex.org/W2795407492","https://openalex.org/W3037414779","https://openalex.org/W4230378422","https://openalex.org/W4242089755"],"related_works":["https://openalex.org/W2960434112","https://openalex.org/W3049714198","https://openalex.org/W2036805113","https://openalex.org/W2049158118","https://openalex.org/W1499880030","https://openalex.org/W2123827981","https://openalex.org/W3014620577","https://openalex.org/W862474055","https://openalex.org/W2413336514","https://openalex.org/W2369728570"],"abstract_inverted_index":{"The":[0],"two-dimensional":[1],"border":[2],"collision":[3],"normal":[4],"form":[5],"is":[6,9],"considered.":[7],"It":[8],"known":[10],"that":[11,23],"multiple":[12,40],"attractors":[13,42],"can":[14,29],"exist":[15],"in":[16,24],"this":[17],"piecewise":[18],"smooth":[19],"system.":[20],"We":[21],"show":[22],"appropriate":[25],"parameter":[26],"regions":[27],"there":[28],"be":[30],"a":[31,35],"robust":[32],"transition":[33],"from":[34],"stable":[36],"fixed":[37],"point":[38],"to":[39,47],"coexisting":[41],"with":[43],"toological":[44],"dimensions":[45],"equal":[46],"two.":[48]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}