{"id":"https://openalex.org/W2120566798","doi":"https://doi.org/10.1142/s021812740501426x","title":"CHAOS IN SPATIALLY EXTENDED SYSTEMS VIA THE PEAK-CROSSING BIFURCATION","display_name":"CHAOS IN SPATIALLY EXTENDED SYSTEMS VIA THE PEAK-CROSSING BIFURCATION","publication_year":2005,"publication_date":"2005-11-01","ids":{"openalex":"https://openalex.org/W2120566798","doi":"https://doi.org/10.1142/s021812740501426x","mag":"2120566798"},"language":"en","primary_location":{"id":"doi:10.1142/s021812740501426x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740501426x","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/A5111798155","display_name":"Arno Berger","orcid":null},"institutions":[{"id":"https://openalex.org/I185492890","display_name":"University of Canterbury","ror":"https://ror.org/03y7q9t39","country_code":"NZ","type":"education","lineage":["https://openalex.org/I185492890"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"ARNO BERGER","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand","Department of Mathematics and Statistics , University of Canterbury , Christchurch, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Canterbury , Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021009981","display_name":"Leonid Bunimovich","orcid":"https://orcid.org/0000-0003-1261-466X"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"LEONID A. BUNIMOVICH","raw_affiliation_strings":["School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"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":0.19258877,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"11","first_page":"3607","last_page":"3621"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9973000288009644,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9973000288009644,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/intermittency","display_name":"Intermittency","score":0.8392071723937988},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6466351747512817},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6284107565879822},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6192491054534912},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5145370364189148},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.49395066499710083},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4738464951515198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39226680994033813},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3847256600856781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26074519753456116},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.23293253779411316},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.08168569207191467},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08095726370811462},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.07746896147727966},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07504206895828247}],"concepts":[{"id":"https://openalex.org/C2780388094","wikidata":"https://www.wikidata.org/wiki/Q1666248","display_name":"Intermittency","level":3,"score":0.8392071723937988},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6466351747512817},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6284107565879822},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6192491054534912},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5145370364189148},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.49395066499710083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4738464951515198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39226680994033813},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3847256600856781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26074519753456116},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.23293253779411316},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.08168569207191467},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08095726370811462},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.07746896147727966},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07504206895828247},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"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":1,"locations":[{"id":"doi:10.1142/s021812740501426x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740501426x","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":[{"display_name":"Sustainable cities and communities","score":0.6600000262260437,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309321","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1990810541","https://openalex.org/W2007678244","https://openalex.org/W2020615646","https://openalex.org/W2024496227","https://openalex.org/W2024619071","https://openalex.org/W2032100993","https://openalex.org/W2043520049","https://openalex.org/W2047743257","https://openalex.org/W2067852532","https://openalex.org/W2081817659","https://openalex.org/W2321217287","https://openalex.org/W2970323723","https://openalex.org/W4212958445","https://openalex.org/W4230608563","https://openalex.org/W4248791561"],"related_works":["https://openalex.org/W2564644595","https://openalex.org/W1566002589","https://openalex.org/W1589804082","https://openalex.org/W2042838258","https://openalex.org/W4226166178","https://openalex.org/W1525560163","https://openalex.org/W1967480872","https://openalex.org/W4387214903","https://openalex.org/W2075007075","https://openalex.org/W2137025862"],"abstract_inverted_index":{"Individual":[0],"sites":[1,110],"in":[2,78,104],"spatially":[3],"extended":[4],"systems":[5],"of":[6,42,59,75,98,107],"coupled":[7],"identical":[8],"maps":[9],"may":[10],"exhibit":[11],"chaotic":[12],"behavior":[13],"even":[14],"if":[15],"their":[16],"intrinsic":[17],"(local)":[18],"dynamics":[19,48],"is":[20,29,77,88],"regular":[21],"and":[22,82,91],"stable.":[23],"For":[24],"this":[25,40],"to":[26,127],"happen":[27],"it":[28],"imperative":[30],"that":[31,71],"the":[32,72,85,96,105,125],"spatial":[33,99],"interactions":[34],"are":[35],"sufficiently":[36,89],"strong.":[37],"So":[38],"far,":[39],"scenario":[41,123],"generating":[43],"chaos":[44],"from":[45],"simple":[46],"local":[47,60,86],"has":[49],"been":[50],"established":[51],"rigorously":[52],"only":[53],"for":[54],"special,":[55],"very":[56,80],"narrow":[57],"classes":[58],"maps.":[61],"The":[62,115],"present":[63],"article":[64],"largely":[65],"extends":[66],"previous":[67],"results":[68,116],"by":[69,112],"showing":[70],"corresponding":[73],"mechanism":[74],"peak-crossing":[76,119],"fact":[79],"general":[81],"robust:":[83],"whenever":[84],"map":[87],"expanding":[90],"exhibits":[92],"a":[93,121],"horseshoe":[94],"then":[95],"emergence":[97],"intermittency":[100],"will":[101],"be":[102],"observed":[103],"form":[106],"chaotically":[108],"oscillating":[109],"surrounded":[111],"quasi-regular":[113],"clusters.":[114],"firmly":[117],"establish":[118],"as":[120],"natural":[122],"on":[124],"route":[126],"spacetime":[128],"chaos.":[129]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}