{"id":"https://openalex.org/W2009820016","doi":"https://doi.org/10.1142/s0218127413501009","title":"ON CONJUGATING EQUIVALENCE OF 0-RESONANT DIFFEOMORPHISMS ON \u211d<sup>3</sup>","display_name":"ON CONJUGATING EQUIVALENCE OF 0-RESONANT DIFFEOMORPHISMS ON \u211d<sup>3</sup>","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2009820016","doi":"https://doi.org/10.1142/s0218127413501009","mag":"2009820016"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127413501009","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413501009","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/A5111686738","display_name":"Zhihua Ren","orcid":null},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"ZHIHUA REN","raw_affiliation_strings":["College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025872255","display_name":"Jiazhong Yang","orcid":"https://orcid.org/0000-0002-6046-2157"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JIAZHONG YANG","raw_affiliation_strings":["School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056235879","display_name":"FUWANG YU","orcid":null},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"FUWANG YU","raw_affiliation_strings":["College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08289671,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"06","first_page":"1350100","last_page":"1350100"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9939000010490417,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9700000286102295,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/equivalence","display_name":"Equivalence (formal languages)","score":0.6646478772163391},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6317014694213867},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5881558656692505},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5653964281082153},{"id":"https://openalex.org/keywords/conjugated-system","display_name":"Conjugated system","score":0.5388545393943787},{"id":"https://openalex.org/keywords/germ","display_name":"Germ","score":0.4739503860473633},{"id":"https://openalex.org/keywords/poincar\u00e9-conjecture","display_name":"Poincar\u00e9 conjecture","score":0.46686673164367676},{"id":"https://openalex.org/keywords/diffeomorphism","display_name":"Diffeomorphism","score":0.441588819026947},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31956127285957336},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2947390675544739},{"id":"https://openalex.org/keywords/nuclear-magnetic-resonance","display_name":"Nuclear magnetic resonance","score":0.10779023170471191},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0824916660785675}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6646478772163391},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6317014694213867},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5881558656692505},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5653964281082153},{"id":"https://openalex.org/C112613896","wikidata":"https://www.wikidata.org/wiki/Q898370","display_name":"Conjugated system","level":3,"score":0.5388545393943787},{"id":"https://openalex.org/C2780258238","wikidata":"https://www.wikidata.org/wiki/Q2520842","display_name":"Germ","level":2,"score":0.4739503860473633},{"id":"https://openalex.org/C88221313","wikidata":"https://www.wikidata.org/wiki/Q203586","display_name":"Poincar\u00e9 conjecture","level":2,"score":0.46686673164367676},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.441588819026947},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31956127285957336},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2947390675544739},{"id":"https://openalex.org/C46141821","wikidata":"https://www.wikidata.org/wiki/Q209402","display_name":"Nuclear magnetic resonance","level":1,"score":0.10779023170471191},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0824916660785675},{"id":"https://openalex.org/C521977710","wikidata":"https://www.wikidata.org/wiki/Q81163","display_name":"Polymer","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127413501009","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413501009","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":6,"referenced_works":["https://openalex.org/W1482956325","https://openalex.org/W2013870906","https://openalex.org/W2081738110","https://openalex.org/W2155752985","https://openalex.org/W4233220581","https://openalex.org/W4235791352"],"related_works":["https://openalex.org/W4386794506","https://openalex.org/W2962984814","https://openalex.org/W4293508317","https://openalex.org/W3104281043","https://openalex.org/W2075372083","https://openalex.org/W2462155254","https://openalex.org/W4212817163","https://openalex.org/W2964001434","https://openalex.org/W4384920019","https://openalex.org/W1549057536"],"abstract_inverted_index":{"In":[0],"this":[1],"note,":[2],"we":[3],"study":[4],"smooth":[5],"classification":[6],"of":[7,10],"all":[8],"germs":[9,35,59],"0-resonant":[11],"diffeomorphisms":[12],"on":[13],"\u211d":[14],"3":[15,40],"having":[16],"generic":[17],"nonlinear":[18],"parts.":[19,71],"We":[20],"prove":[21],"that,":[22],"for":[23,29,52],"the":[24,53],"Poincar\u00e9":[25],"type":[26],"diffeomorphisms,":[27],"except":[28],"one":[30],"germ,":[31],"any":[32,56],"two":[33,58],"such":[34,57],"are":[36,49],"at":[37],"least":[38],"C":[39,62],"conjugated":[41,64],"if":[42,45],"and":[43,51],"only":[44],"their":[46],"linear":[47,70],"parts":[48],"similar;":[50],"non-Poincar\u00e9":[54],"ones,":[55],"can":[60],"be":[61],"\u221e":[63],"provided":[65],"that":[66],"they":[67],"have":[68],"similar":[69]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}