{"id":"https://openalex.org/W2151960255","doi":"https://doi.org/10.1142/s0218127406016951","title":"A STRANGE ATTRACTOR WITH LARGE ENTROPY IN THE UNFOLDING OF A LOW RESONANT DEGENERATE HOMOCLINIC ORBIT","display_name":"A STRANGE ATTRACTOR WITH LARGE ENTROPY IN THE UNFOLDING OF A LOW RESONANT DEGENERATE HOMOCLINIC ORBIT","publication_year":2006,"publication_date":"2006-12-01","ids":{"openalex":"https://openalex.org/W2151960255","doi":"https://doi.org/10.1142/s0218127406016951","mag":"2151960255"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127406016951","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406016951","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/A5080011509","display_name":"Marga A. W. Martens","orcid":null},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"M. MARTENS","raw_affiliation_strings":["Department of Mathematics, University of Groningen, P. O. Box 800, 9700 AV Groningen, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Groningen, P. O. Box 800, 9700 AV Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046234526","display_name":"Vincent Naudot","orcid":"https://orcid.org/0000-0002-9483-6874"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"V. NAUDOT","raw_affiliation_strings":["Institute of Mathematics, Warwick University, Gibbet Hill Road, CV4 7AL Coventry, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Warwick University, Gibbet Hill Road, CV4 7AL Coventry, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016812043","display_name":"Jiaqi Yang","orcid":"https://orcid.org/0000-0003-4974-5436"},"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"]},{"id":"https://openalex.org/I4210125385","display_name":"University of Nursing Yangon","ror":"https://ror.org/02hdk9s78","country_code":"MM","type":"education","lineage":["https://openalex.org/I4210125385"]}],"countries":["CN","MM"],"is_corresponding":false,"raw_author_name":"J. YANG","raw_affiliation_strings":["LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China","J. Yang is supported by NSFC-10271006 and 10571002"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"J. Yang is supported by NSFC-10271006 and 10571002","institution_ids":["https://openalex.org/I4210125385"]}]}],"institutions":[],"countries_distinct_count":4,"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":4,"citation_normalized_percentile":{"value":0.208819,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":"12","first_page":"3509","last_page":"3522"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9991999864578247,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9990000128746033,"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":0.9966999888420105,"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/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.9099009037017822},{"id":"https://openalex.org/keywords/heteroclinic-orbit","display_name":"Heteroclinic orbit","score":0.7997780442237854},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.769447386264801},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7386106848716736},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.579046368598938},{"id":"https://openalex.org/keywords/lebesgue-measure","display_name":"Lebesgue measure","score":0.5652708411216736},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5151544809341431},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.511326253414154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48913055658340454},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.4837067723274231},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.4739392101764679},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.45013654232025146},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.4434770941734314},{"id":"https://openalex.org/keywords/topological-entropy","display_name":"Topological entropy","score":0.42821845412254333},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.35136061906814575},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32998692989349365},{"id":"https://openalex.org/keywords/lebesgue-integration","display_name":"Lebesgue integration","score":0.31575578451156616},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1843005120754242},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17295438051223755},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14916196465492249},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.13576996326446533}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.9099009037017822},{"id":"https://openalex.org/C184481792","wikidata":"https://www.wikidata.org/wiki/Q1992087","display_name":"Heteroclinic orbit","level":5,"score":0.7997780442237854},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.769447386264801},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7386106848716736},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.579046368598938},{"id":"https://openalex.org/C2777105136","wikidata":"https://www.wikidata.org/wiki/Q827230","display_name":"Lebesgue measure","level":3,"score":0.5652708411216736},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5151544809341431},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.511326253414154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48913055658340454},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.4837067723274231},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.4739392101764679},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.45013654232025146},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.4434770941734314},{"id":"https://openalex.org/C2780350623","wikidata":"https://www.wikidata.org/wiki/Q3055355","display_name":"Topological entropy","level":2,"score":0.42821845412254333},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.35136061906814575},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32998692989349365},{"id":"https://openalex.org/C14158598","wikidata":"https://www.wikidata.org/wiki/Q853831","display_name":"Lebesgue integration","level":2,"score":0.31575578451156616},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1843005120754242},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17295438051223755},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14916196465492249},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.13576996326446533},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127406016951","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406016951","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:pure.rug.nl:openaire_cris_publications/365d6049-e918-4254-aaf2-c9fa86180e84","is_oa":false,"landing_page_url":"https://research.rug.nl/en/publications/365d6049-e918-4254-aaf2-c9fa86180e84","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Martens, M, Naudot, V & Yang, J 2006, 'A strange attractor with large entropy in the unfolding of a low resonant degenerate homoclinic orbit', International Journal of Bifurcation and Chaos, vol. 16, no. 12, pp. 3509-3522.","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W48894704","https://openalex.org/W1968137282","https://openalex.org/W1975905130","https://openalex.org/W1984578963","https://openalex.org/W1988566766","https://openalex.org/W1998242774","https://openalex.org/W2013602841","https://openalex.org/W2016694081","https://openalex.org/W2017308754","https://openalex.org/W2041160720","https://openalex.org/W2043122468","https://openalex.org/W2054807178","https://openalex.org/W2058125052","https://openalex.org/W2063858073","https://openalex.org/W2068003521","https://openalex.org/W2095039299","https://openalex.org/W2119972831","https://openalex.org/W2148897094","https://openalex.org/W2317893523","https://openalex.org/W2597083622","https://openalex.org/W3141151088","https://openalex.org/W4239981491"],"related_works":["https://openalex.org/W2036210476","https://openalex.org/W2157138821","https://openalex.org/W2072009444","https://openalex.org/W3192909774","https://openalex.org/W1603437642","https://openalex.org/W1995065510","https://openalex.org/W4254883948","https://openalex.org/W2054807178","https://openalex.org/W2954763612","https://openalex.org/W2151960255"],"abstract_inverted_index":{"The":[0,16],"unfolding":[1],"of":[2,11,19,29],"a":[3,7,24,48,54,66],"vector":[4],"field":[5],"exhibiting":[6],"degenerate":[8],"homoclinic":[9],"orbit":[10],"inclination-flip":[12],"type":[13],"is":[14],"studied.":[15],"linear":[17],"part":[18],"the":[20,27,30,42,45],"unperturbed":[21],"system":[22,46],"possesses":[23,47],"resonance":[25],"but":[26],"coefficient":[28],"corresponding":[31],"monomial":[32],"vanishes.":[33],"We":[34],"show":[35],"that":[36],"for":[37],"an":[38],"open":[39],"set":[40],"in":[41,65],"parameter":[43],"space,":[44],"suspended":[49],"cubic":[50],"H\u00e9non-like":[51],"map.":[52],"As":[53],"consequence,":[55],"strange":[56],"attractors":[57],"with":[58],"entropy":[59],"close":[60],"to":[61],"log":[62],"3":[63],"persist":[64],"positive":[67],"Lebesgue":[68],"measure":[69],"set.":[70]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
