{"id":"https://openalex.org/W2136792947","doi":"https://doi.org/10.1142/s0218127413300280","title":"THE BUNDLE PLOT: EVOLUTION OF SYMBOLIC SPACE UNDER THE SYSTEM PARAMETER CHANGES","display_name":"THE BUNDLE PLOT: EVOLUTION OF SYMBOLIC SPACE UNDER THE SYSTEM PARAMETER CHANGES","publication_year":2013,"publication_date":"2013-08-01","ids":{"openalex":"https://openalex.org/W2136792947","doi":"https://doi.org/10.1142/s0218127413300280","mag":"2136792947"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127413300280","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413300280","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/A5061910732","display_name":"Jiongxuan Zheng","orcid":null},"institutions":[{"id":"https://openalex.org/I16944753","display_name":"Clarkson University","ror":"https://ror.org/03rwgpn18","country_code":"US","type":"education","lineage":["https://openalex.org/I16944753"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"JIONGXUAN ZHENG","raw_affiliation_strings":["Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699, United States"],"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699, United States","institution_ids":["https://openalex.org/I16944753"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049728563","display_name":"Joseph D. Skufca","orcid":null},"institutions":[{"id":"https://openalex.org/I16944753","display_name":"Clarkson University","ror":"https://ror.org/03rwgpn18","country_code":"US","type":"education","lineage":["https://openalex.org/I16944753"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"JOSEPH D. SKUFCA","raw_affiliation_strings":["Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699, United States"],"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699, United States","institution_ids":["https://openalex.org/I16944753"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003961936","display_name":"Erik M. Bollt","orcid":"https://orcid.org/0000-0001-7083-7592"},"institutions":[{"id":"https://openalex.org/I16944753","display_name":"Clarkson University","ror":"https://ror.org/03rwgpn18","country_code":"US","type":"education","lineage":["https://openalex.org/I16944753"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"ERIK M. BOLLT","raw_affiliation_strings":["Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699, United States"],"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699, United States","institution_ids":["https://openalex.org/I16944753"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061910732"],"corresponding_institution_ids":["https://openalex.org/I16944753"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10375454,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"08","first_page":"1330028","last_page":"1330028"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9154000282287598,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9154000282287598,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9103999733924866,"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/bundle","display_name":"Bundle","score":0.7932089567184448},{"id":"https://openalex.org/keywords/plot","display_name":"Plot (graphics)","score":0.696469247341156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.628052830696106},{"id":"https://openalex.org/keywords/line-bundle","display_name":"Line bundle","score":0.566010594367981},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.5458888411521912},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4604504704475403},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4399207532405853},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.43076181411743164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35236650705337524},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3307092487812042},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23637402057647705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21236377954483032},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1260886788368225}],"concepts":[{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.7932089567184448},{"id":"https://openalex.org/C167651023","wikidata":"https://www.wikidata.org/wiki/Q1474611","display_name":"Plot (graphics)","level":2,"score":0.696469247341156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.628052830696106},{"id":"https://openalex.org/C137134375","wikidata":"https://www.wikidata.org/wiki/Q1509762","display_name":"Line bundle","level":2,"score":0.566010594367981},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.5458888411521912},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4604504704475403},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4399207532405853},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.43076181411743164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35236650705337524},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3307092487812042},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23637402057647705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21236377954483032},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1260886788368225},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127413300280","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127413300280","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W132845994","https://openalex.org/W1514620068","https://openalex.org/W1515878031","https://openalex.org/W1970455529","https://openalex.org/W1979684610","https://openalex.org/W2004021828","https://openalex.org/W2052456444","https://openalex.org/W2089362396","https://openalex.org/W2090473272","https://openalex.org/W2125933118","https://openalex.org/W3018168033","https://openalex.org/W3124661333"],"related_works":["https://openalex.org/W2897156099","https://openalex.org/W4384890880","https://openalex.org/W4312613015","https://openalex.org/W2245242553","https://openalex.org/W3041711126","https://openalex.org/W1981338710","https://openalex.org/W2001136280","https://openalex.org/W2515636624","https://openalex.org/W999420501","https://openalex.org/W4390591638"],"abstract_inverted_index":{"This":[0],"paper":[1],"provides":[2],"a":[3,17,22,35,45,68,72,78,84,124,131],"topological":[4],"dynamics":[5],"perspective":[6],"on":[7],"the":[8,27,93,96,102,105,120,135,138],"full":[9],"bifurcation":[10],"unfolding":[11],"in":[12,119],"unimodal":[13],"mappings.":[14],"We":[15],"present":[16],"bundle":[18,23,39,87,106,121],"structure,":[19,126],"visualized":[20],"as":[21,32,44],"plot,":[24,51],"to":[25],"show":[26],"evolution":[28],"of":[29,48,95,104,134],"symbolic":[30],"space":[31],"we":[33],"vary":[34],"system":[36],"parameter.":[37],"The":[38,86],"plot":[40,107,122],"can":[41],"be":[42],"viewed":[43],"limit":[46],"process":[47],"an":[49],"assignment":[50],"which":[52,70,129],"are":[53,65],"line":[54,63],"assignments":[55,64],"between":[56],"points":[57],"from":[58],"two":[59],"dynamical":[60],"systems.":[61],"Such":[62],"determined":[66],"by":[67,91],"commuter,":[69],"is":[71,89,113,123],"coordinates":[73],"transformation":[74],"function":[75],"that":[76],"satisfies":[77],"commuting":[79],"relationship":[80],"but":[81],"not":[82],"necessarily":[83],"homeomorphism.":[85],"structure":[88],"studied":[90],"understanding":[92],"implication":[94],"system's":[97],"qualitative":[98],"changes.":[99],"In":[100],"addition,":[101],"case":[103],"with":[108],"higher":[109],"dimensional":[110],"parameter":[111,136],"variation":[112],"also":[114],"considered.":[115],"A":[116],"main":[117],"concern":[118],"special":[125],"called":[127],"\"joint\",":[128],"determines":[130],"critical":[132],"value":[133],"where":[137],"kneading":[139],"sequence":[140],"becomes":[141],"periodic.":[142]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
