{"id":"https://openalex.org/W2070562130","doi":"https://doi.org/10.1142/s0218127405013861","title":"ISOCHRONOUS SECTIONS VIA NORMALIZERS","display_name":"ISOCHRONOUS SECTIONS VIA NORMALIZERS","publication_year":2005,"publication_date":"2005-09-01","ids":{"openalex":"https://openalex.org/W2070562130","doi":"https://doi.org/10.1142/s0218127405013861","mag":"2070562130"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405013861","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405013861","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/A5007751664","display_name":"Marco Sabatini","orcid":"https://orcid.org/0000-0003-3479-3451"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"M. SABATINI","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Trento, I-38050, Povo (TN), Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Trento, I-38050, Povo (TN), Italy","institution_ids":["https://openalex.org/I193223587"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007751664"],"corresponding_institution_ids":["https://openalex.org/I193223587"],"apc_list":null,"apc_paid":null,"fwci":2.3992,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.88161844,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"15","issue":"09","first_page":"3031","last_page":"3037"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9509999752044678,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6580793857574463},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6337237358093262},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5879274010658264},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5069099068641663},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5048847794532776},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4712189733982086},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3528260886669159},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2910369634628296},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1553843915462494}],"concepts":[{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6580793857574463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6337237358093262},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5879274010658264},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5069099068641663},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5048847794532776},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4712189733982086},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3528260886669159},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2910369634628296},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1553843915462494},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127405013861","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405013861","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"},{"id":"pmh:oai:iris.unitn.it:11572/72910","is_oa":false,"landing_page_url":"http://www.worldscinet.com/ijbc/15/1509/S0218127405013861.html","pdf_url":null,"source":{"id":"https://openalex.org/S4377196320","display_name":"Iris (University of Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320325745","display_name":"Universitat de Lleida","ror":"https://ror.org/050c3cw24"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1606042550","https://openalex.org/W1973368865","https://openalex.org/W1985155290","https://openalex.org/W1988689216","https://openalex.org/W1989418705","https://openalex.org/W2006431128","https://openalex.org/W2013469794","https://openalex.org/W2083520964"],"related_works":["https://openalex.org/W4206327962","https://openalex.org/W2010009304","https://openalex.org/W1996851061","https://openalex.org/W3021694725","https://openalex.org/W2025195393","https://openalex.org/W2940695648","https://openalex.org/W1973684381","https://openalex.org/W4251403274","https://openalex.org/W2096304864","https://openalex.org/W2335653062"],"abstract_inverted_index":{"We":[0,15],"present":[1],"some":[2],"sufficient":[3],"conditions":[4],"for":[5],"the":[6,25],"existence":[7],"of":[8,11,27],"isochronous":[9,17],"sections":[10,18],"planar":[12],"differential":[13],"systems.":[14],"consider":[16],"at":[19],"a":[20,23,28],"critical":[21],"point,":[22],"cycle,":[24],"boundary":[26],"central":[29],"or":[30],"attraction":[31],"region.":[32]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-29T07:29:34.045763","created_date":"2025-10-10T00:00:00"}
