{"id":"https://openalex.org/W2102296517","doi":"https://doi.org/10.1142/s0218127403006558","title":"COMPLEX PATTERNS ON THE PLANE: DIFFERENT TYPES OF BASIN FRACTALIZATION IN A TWO-DIMENSIONAL MAPPING","display_name":"COMPLEX PATTERNS ON THE PLANE: DIFFERENT TYPES OF BASIN FRACTALIZATION IN A TWO-DIMENSIONAL MAPPING","publication_year":2003,"publication_date":"2003-02-01","ids":{"openalex":"https://openalex.org/W2102296517","doi":"https://doi.org/10.1142/s0218127403006558","mag":"2102296517"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127403006558","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127403006558","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/nlin/0204028","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006982483","display_name":"Ricardo L\u00f3pez\u2010Ruiz","orcid":"https://orcid.org/0000-0003-4055-3390"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"RICARDO L\u00d3PEZ-RUIZ","raw_affiliation_strings":["Facultad de Ciencias \u2013 Edificio B, \u00c1rea de Ciencias de la Computaci\u00f3n, Universidad de Zaragoza, 50009 \u2013 Zaragoza, Spain"],"affiliations":[{"raw_affiliation_string":"Facultad de Ciencias \u2013 Edificio B, \u00c1rea de Ciencias de la Computaci\u00f3n, Universidad de Zaragoza, 50009 \u2013 Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031427355","display_name":"Dani\u00e8le Fournier-Prunaret","orcid":"https://orcid.org/0000-0003-0036-8932"},"institutions":[{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"DANI\u00c8LE FOURNIER-PRUNARET","raw_affiliation_strings":["Institut National des Sciences Appliqu\u00e9es, Syst\u00e8mes Dynamiques (SYD), L.E.S.I.A., Avenue de Rangueil, 31077 Toulouse Cedex, France"],"affiliations":[{"raw_affiliation_string":"Institut National des Sciences Appliqu\u00e9es, Syst\u00e8mes Dynamiques (SYD), L.E.S.I.A., Avenue de Rangueil, 31077 Toulouse Cedex, France","institution_ids":["https://openalex.org/I196454796"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006982483"],"corresponding_institution_ids":["https://openalex.org/I255234318"],"apc_list":null,"apc_paid":null,"fwci":3.4018,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.92886819,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"13","issue":"02","first_page":"287","last_page":"310"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9979000091552734,"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":0.9979000091552734,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/structural-basin","display_name":"Structural basin","score":0.7841488122940063},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.7138157486915588},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.6510663032531738},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5430078506469727},{"id":"https://openalex.org/keywords/phenomenology","display_name":"Phenomenology (philosophy)","score":0.5372220277786255},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5234507918357849},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5174384713172913},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.4709121882915497},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4407329857349396},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.41252994537353516},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35882025957107544},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.33449453115463257},{"id":"https://openalex.org/keywords/paleontology","display_name":"Paleontology","score":0.23945024609565735},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19877111911773682},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18097156286239624}],"concepts":[{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.7841488122940063},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.7138157486915588},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.6510663032531738},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5430078506469727},{"id":"https://openalex.org/C84269361","wikidata":"https://www.wikidata.org/wiki/Q179235","display_name":"Phenomenology (philosophy)","level":2,"score":0.5372220277786255},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5234507918357849},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5174384713172913},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.4709121882915497},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4407329857349396},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.41252994537353516},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35882025957107544},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.33449453115463257},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.23945024609565735},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19877111911773682},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18097156286239624},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127403006558","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127403006558","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:arXiv.org:nlin/0204028","is_oa":true,"landing_page_url":"http://arxiv.org/abs/nlin/0204028","pdf_url":"https://arxiv.org/pdf/nlin/0204028","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:nlin/0204028","is_oa":true,"landing_page_url":"http://arxiv.org/abs/nlin/0204028","pdf_url":"https://arxiv.org/pdf/nlin/0204028","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","display_name":"Life below water","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W46743472","https://openalex.org/W331846077","https://openalex.org/W1573241742","https://openalex.org/W1970500498","https://openalex.org/W1974302683","https://openalex.org/W1978218230","https://openalex.org/W1984309308","https://openalex.org/W1999106907","https://openalex.org/W2015689071","https://openalex.org/W2015726008","https://openalex.org/W2024036323","https://openalex.org/W2032259428","https://openalex.org/W2034074453","https://openalex.org/W2035236912","https://openalex.org/W2044057173","https://openalex.org/W2059171419","https://openalex.org/W2082204789","https://openalex.org/W2084828351","https://openalex.org/W2087564971","https://openalex.org/W2087934695","https://openalex.org/W2272294400","https://openalex.org/W2497131216","https://openalex.org/W4205905703","https://openalex.org/W4250146611","https://openalex.org/W4256560209","https://openalex.org/W4285719527","https://openalex.org/W4292510609","https://openalex.org/W4300506249"],"related_works":["https://openalex.org/W4299610791","https://openalex.org/W2950866767","https://openalex.org/W1631776469","https://openalex.org/W365400798","https://openalex.org/W3207604768","https://openalex.org/W2018612307","https://openalex.org/W3019662020","https://openalex.org/W4281680667","https://openalex.org/W3106300234","https://openalex.org/W4286900056"],"abstract_inverted_index":{"Basins":[0],"generated":[1],"by":[2,7],"a":[3,33],"noninvertible":[4],"mapping":[5],"formed":[6],"two":[8],"symmetrically":[9],"coupled":[10],"logistic":[11],"maps":[12],"are":[13,30],"studied":[14],"when":[15],"the":[16,21,28,36,41,46,50,85,97],"only":[17],"parameter":[18],"\u03bb":[19],"of":[20,35,69,80,87,92,99],"system":[22],"is":[23],"modified.":[24],"Complex":[25],"patterns":[26],"on":[27],"plane":[29],"visualized":[31],"as":[32],"consequence":[34],"basins'":[37],"bifurcations.":[38],"According":[39],"to":[40],"already":[42],"established":[43],"nomenclature":[44],"in":[45,54,96],"literature,":[47],"we":[48,83],"present":[49],"relevant":[51],"phenomenology":[52],"organized":[53],"different":[55,90],"scenarios:":[56],"fractal":[57,76],"islands":[58],"disaggregation,":[59,61],"finite":[60],"infinitely":[62,65],"disconnected":[63],"basin,":[64],"many":[66],"converging":[67],"sequences":[68],"lakes,":[70],"countable":[71],"self-similar":[72],"disaggregation":[73],"and":[74],"sharp":[75],"boundary.":[77],"By":[78],"use":[79],"critical":[81],"curves,":[82],"determine":[84],"influence":[86],"zones":[88],"with":[89],"number":[91],"first":[93],"rank":[94],"preimages":[95],"mechanisms":[98],"basin":[100],"fractalization.":[101]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}
