{"id":"https://openalex.org/W2112119101","doi":"https://doi.org/10.1142/s0218127405012697","title":"FRACTAL PARAMETERS FOR THE STUDY OF H\u00c9NON-LIKE ATTRACTORS","display_name":"FRACTAL PARAMETERS FOR THE STUDY OF H\u00c9NON-LIKE ATTRACTORS","publication_year":2005,"publication_date":"2005-04-01","ids":{"openalex":"https://openalex.org/W2112119101","doi":"https://doi.org/10.1142/s0218127405012697","mag":"2112119101"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405012697","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012697","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/A5061268689","display_name":"R. O. Hansen","orcid":"https://orcid.org/0000-0002-4805-5241"},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"R. HANSEN","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Av. Paseo Col\u00f3n 850, (1063) Buenos Aires, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Av. Paseo Col\u00f3n 850, (1063) Buenos Aires, Argentina","institution_ids":["https://openalex.org/I24354313"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103332477","display_name":"M. Piacquadio Losada","orcid":null},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"M. PIACQUADIO LOSADA","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Av. Paseo Col\u00f3n 850, (1063) Buenos Aires, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Facultad de Ingenier\u00eda, Universidad de Buenos Aires, Av. Paseo Col\u00f3n 850, (1063) Buenos Aires, Argentina","institution_ids":["https://openalex.org/I24354313"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I24354313"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20381042,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"04","first_page":"1329","last_page":"1346"},"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/T10244","display_name":"Chaos control and synchronization","score":0.9977999925613403,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9861999750137329,"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/attractor","display_name":"Attractor","score":0.8847677707672119},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6615313291549683},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.6187905073165894},{"id":"https://openalex.org/keywords/fractal-dimension","display_name":"Fractal dimension","score":0.5653343796730042},{"id":"https://openalex.org/keywords/plateau","display_name":"Plateau (mathematics)","score":0.5531589984893799},{"id":"https://openalex.org/keywords/hausdorff-dimension","display_name":"Hausdorff dimension","score":0.5488784909248352},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5006098747253418},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4854941666126251},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.47720250487327576},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.47666457295417786},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.4752071797847748},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.4627511501312256},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.4536742866039276},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43999338150024414},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43678322434425354},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4310113191604614},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.348646879196167},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.28564104437828064},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2208719551563263},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2077474594116211}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8847677707672119},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6615313291549683},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.6187905073165894},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.5653343796730042},{"id":"https://openalex.org/C2780030769","wikidata":"https://www.wikidata.org/wiki/Q4968575","display_name":"Plateau (mathematics)","level":2,"score":0.5531589984893799},{"id":"https://openalex.org/C194198291","wikidata":"https://www.wikidata.org/wiki/Q565186","display_name":"Hausdorff dimension","level":2,"score":0.5488784909248352},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5006098747253418},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4854941666126251},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47720250487327576},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.47666457295417786},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.4752071797847748},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.4627511501312256},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.4536742866039276},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43999338150024414},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43678322434425354},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4310113191604614},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.348646879196167},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28564104437828064},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2208719551563263},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2077474594116211},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127405012697","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012697","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":[{"score":0.6700000166893005,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W250146047","https://openalex.org/W1965885664","https://openalex.org/W1975597044","https://openalex.org/W2004021828","https://openalex.org/W2098179927","https://openalex.org/W2125566231","https://openalex.org/W2145973393","https://openalex.org/W2170845292","https://openalex.org/W4210414357","https://openalex.org/W4252639814","https://openalex.org/W6834434144"],"related_works":["https://openalex.org/W4251428025","https://openalex.org/W2960434112","https://openalex.org/W3049714198","https://openalex.org/W4289867043","https://openalex.org/W2036805113","https://openalex.org/W2784467519","https://openalex.org/W2592279130","https://openalex.org/W2049158118","https://openalex.org/W2096629819","https://openalex.org/W2030956422"],"abstract_inverted_index":{"For":[0],"invertible,":[1],"area-contracting":[2],"planar":[3],"maps,":[4],"much":[5],"work":[6],"has":[7],"been":[8],"done":[9],"on":[10,47],"the":[11,14,68,72,84,100,104,108,113,120,131,138,141,146,149,153,161],"study":[12],"of":[13,35,40,51,59,67,99,107,123,140],"crucial":[15],"role":[16],"played":[17],"by":[18,24,63,80],"certain":[19],"unstable":[20],"periodic":[21],"orbits,":[22],"distinguished":[23],"being":[25],"\"accessible\",":[26],"in":[27,83,152],"understanding":[28],"some":[29],"global":[30],"bifurcations":[31],"such":[32],"as":[33,71,96],"metamorphoses":[34],"basin":[36],"boundaries":[37],"and":[38],"crisis":[39],"attractors.":[41],"In":[42],"this":[43],"paper":[44],"we":[45],"concentrate":[46],"a":[48,57,64,81,93,97],"one-parameter":[49],"family":[50],"H\u00e9non":[52,109],"maps":[53],"whose":[54],"attractors":[55,110],"present":[56],"type":[58],"discontinuous":[60],"change":[61,77],"characterized":[62],"sudden":[65],"replacement":[66],"accessible":[69,86],"orbits":[70],"parameter":[73,124,162],"is":[74,78,128,157],"varied.":[75],"The":[76,89],"quantified":[79],"jump":[82],"corresponding":[85],"rotation":[87,90],"number.":[88],"rate":[91],"describes":[92],"devil's":[94],"staircase":[95],"function":[98],"parameter.":[101],"We":[102],"estimate":[103],"Hausdorff":[105],"dimensions":[106],"\u2014":[111,118],"via":[112],"Mend\u00e8s":[114],"France":[115],"fractal":[116],"dimension":[117,142],"for":[119,145],"same":[121,150],"interval":[122],"values.":[125],"Our":[126],"purpose":[127],"to":[129,167],"show":[130],"strong":[132],"connection":[133],"between":[134],"these":[135],"two":[136],"functions:":[137],"variation":[139],"stays":[143],"minimal":[144],"parameters":[147],"under":[148],"plateau":[151,166],"staircase,":[154],"while":[155],"it":[156],"markedly":[158],"greater":[159],"when":[160],"moves":[163],"from":[164],"one":[165],"another.":[168]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
