{"id":"https://openalex.org/W2038268783","doi":"https://doi.org/10.1007/s00332-015-9251-z","title":"Noose Structure and Bifurcations of Periodic Orbits in Reversible Three-Dimensional Piecewise Linear Differential Systems","display_name":"Noose Structure and Bifurcations of Periodic Orbits in Reversible Three-Dimensional Piecewise Linear Differential Systems","publication_year":2015,"publication_date":"2015-04-27","ids":{"openalex":"https://openalex.org/W2038268783","doi":"https://doi.org/10.1007/s00332-015-9251-z","mag":"2038268783"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-015-9251-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-015-9251-z","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","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/A5088184792","display_name":"Victoriano Carmona","orcid":"https://orcid.org/0000-0002-2889-913X"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"V. Carmona","raw_affiliation_strings":["Dpto. Matem\u00e1tica Aplicada II, Universidad de Sevilla, Seville, Spain","Universidad de Sevilla"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. Matem\u00e1tica Aplicada II, Universidad de Sevilla, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Universidad de Sevilla","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009686190","display_name":"Fernando Fern\u00e1ndez-S\u00e1nchez","orcid":"https://orcid.org/0000-0001-5774-6717"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. Fern\u00e1ndez-S\u00e1nchez","raw_affiliation_strings":["Dpto. Matem\u00e1tica Aplicada II, Universidad de Sevilla, Seville, Spain","Universidad de Sevilla"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. Matem\u00e1tica Aplicada II, Universidad de Sevilla, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Universidad de Sevilla","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090846330","display_name":"Elisabeth Garc\u00eda-Medina","orcid":"https://orcid.org/0000-0001-7244-1268"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"E. Garc\u00eda-Medina","raw_affiliation_strings":["Dpto. Matem\u00e1tica Aplicada II, Universidad de Sevilla, Seville, Spain","Universidad de Sevilla"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. Matem\u00e1tica Aplicada II, Universidad de Sevilla, Seville, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Universidad de Sevilla","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081526303","display_name":"Antonio E. Teruel","orcid":"https://orcid.org/0000-0001-5574-2915"},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. E. Teruel","raw_affiliation_strings":["Departament de Matem\u00e0tiques i Inform\u00e0tica, Universitat de les Illes Balears, Palma de Mallorca, Spain","[Universitat de les Illes Balears]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques i Inform\u00e0tica, Universitat de les Illes Balears, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]},{"raw_affiliation_string":"[Universitat de les Illes Balears]","institution_ids":["https://openalex.org/I50441567"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088184792"],"corresponding_institution_ids":["https://openalex.org/I79238269"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.9986,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74057971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"25","issue":"6","first_page":"1209","last_page":"1224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":1.0,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9994999766349792,"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":0.998199999332428,"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/tangent","display_name":"Tangent","score":0.7051683664321899},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.6828196048736572},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6538513898849487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.553631603717804},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5278499126434326},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.44054847955703735},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.42545557022094727},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4118092656135559},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.40820950269699097},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29027092456817627},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.24109849333763123}],"concepts":[{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.7051683664321899},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.6828196048736572},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6538513898849487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.553631603717804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5278499126434326},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.44054847955703735},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.42545557022094727},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4118092656135559},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40820950269699097},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29027092456817627},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.24109849333763123},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00332-015-9251-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-015-9251-z","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320326754","display_name":"Junta de Andaluc\u00eda","ror":"https://ror.org/01jem9c82"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1494104450","https://openalex.org/W1562727027","https://openalex.org/W1968220940","https://openalex.org/W1978907500","https://openalex.org/W1982618414","https://openalex.org/W1990614257","https://openalex.org/W2002251871","https://openalex.org/W2015006571","https://openalex.org/W2024766879","https://openalex.org/W2026563637","https://openalex.org/W2028031061","https://openalex.org/W2028657164","https://openalex.org/W2048431669","https://openalex.org/W2067139588","https://openalex.org/W2085988745","https://openalex.org/W2086337164","https://openalex.org/W2088986191","https://openalex.org/W2133460426","https://openalex.org/W2143976842","https://openalex.org/W2186590998","https://openalex.org/W3168404227","https://openalex.org/W4238105754"],"related_works":["https://openalex.org/W4364386808","https://openalex.org/W9199476","https://openalex.org/W428507352","https://openalex.org/W625382304","https://openalex.org/W44694169","https://openalex.org/W1674348501","https://openalex.org/W2042735075","https://openalex.org/W1971277302","https://openalex.org/W2744171398","https://openalex.org/W1964489467"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}