{"id":"https://openalex.org/W1971443020","doi":"https://doi.org/10.1142/s021812740802255x","title":"APPLICATIONS OF LOCAL ACTIVITY THEORY OF CNN TO CONTROLLED COUPLED OREGONATOR SYSTEMS","display_name":"APPLICATIONS OF LOCAL ACTIVITY THEORY OF CNN TO CONTROLLED COUPLED OREGONATOR SYSTEMS","publication_year":2008,"publication_date":"2008-11-01","ids":{"openalex":"https://openalex.org/W1971443020","doi":"https://doi.org/10.1142/s021812740802255x","mag":"1971443020"},"language":"en","primary_location":{"id":"doi:10.1142/s021812740802255x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740802255x","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/A5100659135","display_name":"Lequan Min","orcid":"https://orcid.org/0000-0002-4414-3818"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"LEQUAN MIN","raw_affiliation_strings":["Schools of Applied Science and Information Engineering, University of Science and Technology Beijing, Beijing 100083, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Schools of Applied Science and Information Engineering, University of Science and Technology Beijing, Beijing 100083, China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070783668","display_name":"Meng Yan","orcid":"https://orcid.org/0000-0002-9538-9121"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YAN MENG","raw_affiliation_strings":["Schools of Applied Science and Information Engineering, University of Science and Technology Beijing, Beijing 100083, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Schools of Applied Science and Information Engineering, University of Science and Technology Beijing, Beijing 100083, China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090657067","display_name":"Leon O. Chua","orcid":"https://orcid.org/0000-0002-1652-5464"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"LEON O. CHUA","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, CA 94720, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4462,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.77495618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","issue":"11","first_page":"3233","last_page":"3297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9995999932289124,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9948999881744385,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.989799976348877,"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/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.5747174024581909},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5579640865325928},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5390439033508301},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5222597718238831},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4912988543510437},{"id":"https://openalex.org/keywords/edge-of-chaos","display_name":"Edge of chaos","score":0.45356863737106323},{"id":"https://openalex.org/keywords/cellular-neural-network","display_name":"Cellular neural network","score":0.4218488335609436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3377457857131958},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33044737577438354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2422831952571869},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.16468563675880432},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14026516675949097}],"concepts":[{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5747174024581909},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5579640865325928},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5390439033508301},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5222597718238831},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4912988543510437},{"id":"https://openalex.org/C2780713532","wikidata":"https://www.wikidata.org/wiki/Q93158","display_name":"Edge of chaos","level":2,"score":0.45356863737106323},{"id":"https://openalex.org/C812465","wikidata":"https://www.wikidata.org/wiki/Q5058375","display_name":"Cellular neural network","level":3,"score":0.4218488335609436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3377457857131958},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33044737577438354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2422831952571869},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.16468563675880432},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14026516675949097},{"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/s021812740802255x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740802255x","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":21,"referenced_works":["https://openalex.org/W1964614740","https://openalex.org/W1974011730","https://openalex.org/W1979757851","https://openalex.org/W1991752226","https://openalex.org/W1993999944","https://openalex.org/W1995627131","https://openalex.org/W2008887218","https://openalex.org/W2061126498","https://openalex.org/W2061727760","https://openalex.org/W2078442503","https://openalex.org/W2092589298","https://openalex.org/W2094606883","https://openalex.org/W2103048921","https://openalex.org/W2122840397","https://openalex.org/W2153653041","https://openalex.org/W2171737037","https://openalex.org/W2410165758","https://openalex.org/W3217806404","https://openalex.org/W4229951232","https://openalex.org/W4302550330","https://openalex.org/W4388218372"],"related_works":["https://openalex.org/W2373629362","https://openalex.org/W2118964038","https://openalex.org/W4312648141","https://openalex.org/W1013288326","https://openalex.org/W1981364541","https://openalex.org/W2094488735","https://openalex.org/W3216576004","https://openalex.org/W2122977518","https://openalex.org/W657337705","https://openalex.org/W2586664320"],"abstract_inverted_index":{"The":[0,37,87,133,164,180,217,317],"study":[1],"of":[2,25,29,59,167,183,214,225,238,250,276,284,300,306,319,339,342,355,374,395,406,425,457,475,493],"chemical":[3],"reactions":[4],"with":[5,79,311,345,359,372,376,410,453],"oscillating":[6],"kinetics":[7],"has":[8,50,136],"drawn":[9],"increasing":[10],"interest":[11],"over":[12],"the":[13,26,57,84,96,123,154,168,174,184,198,222,226,236,248,258,267,272,277,282,285,298,304,320,331,337,340,352,356,365,370,386,404,407,411,431,450,481,491],"last":[14],"few":[15],"decades":[16],"because":[17],"it":[18],"also":[19,256],"contributes":[20],"towards":[21],"a":[22,52,63,75,111,118,129,393,472],"deeper":[23],"understanding":[24],"complex":[27,60,231,476],"phenomena":[28],"temporal":[30],"and":[31,72,101,120,149,158,194,197,209,212,292,403,419],"spatial":[32],"organizations":[33],"in":[34,62,364,400,488],"biological":[35],"systems.":[36],"Cellular":[38],"Nonlinear":[39],"Network":[40],"(CNN)":[41],"local":[42,178],"activity":[43],"principle":[44],"introduced":[45],"by":[46,67,116,430,436,449],"Chua":[47],"[1997,":[48],"2005]":[49],"provided":[51],"powerful":[53],"tool":[54],"for":[55,82,177],"studying":[56],"emergence":[58],"patterns":[61,232,265,294,327,362,445],"homogeneous":[64],"lattice":[65],"formed":[66],"coupled":[68],"cells.":[69],"Recently,":[70],"Yang":[71],"Epstein":[73],"proposed":[74],"reaction\u2013diffusion":[76,126,130],"Oregonator":[77,114,125,131,134,169,185,227,259,408,432,451],"model":[78,89,115,287,358],"five":[80],"variables":[81],"mimicking":[83],"Belousov\u2013Zhabotinskii":[85],"reaction.":[86],"Yang\u2013Epstein":[88,278,286,321,357],"can":[90,261],"generate":[91,230,262],"oscillatory":[92],"Turing":[93],"patterns,":[94,291,413,415,418,422],"including":[95],"twinkling":[97],"eye,":[98],"localized":[99],"spiral":[100,361,421,427],"concentric":[102],"wave":[103],"structures.":[104],"In":[105,280],"this":[106],"paper,":[107],"we":[108],"first":[109],"propose":[110],"modified":[112],"Yang\u2013Epstein's":[113],"introducing":[117],"controller,":[119],"then":[121],"map":[122],"revised":[124],"system":[127],"into":[128],"CNN.":[132],"CNN":[135,170,186,228,483],"two":[137],"cell":[138,484],"equilibrium":[139,156,161,387,458],"points":[140,459],"Q":[141,150,188,201,314,348,379,389],"1":[142,189],"=":[143],"(0,":[144],"0,":[145,146,147],"0)":[148],"2":[151,202,315,349,380,390],",":[152,381],"representing":[153],"\"original\"":[155],"point":[157,388],"an":[159],"additional":[160],"point,":[162],"respectively.":[163],"bifurcation":[165,181],"diagrams":[166,182],"are":[171,233,270,295,328,486],"calculated":[172,218],"using":[173],"analytical":[175],"criteria":[176],"activity.":[179],"at":[187,200],"have":[190,203],"only":[191],"locally":[192,204,207,243,307,332,366],"active":[193,208,244,308,333],"unstable":[195,210,245,309,334],"regions;":[196],"ones":[199],"passive":[205,367],"regions,":[206,211,240],"edge":[213,237,249,341,373,492],"chaos":[215,239,251,301,343,375,494],"regions.":[216],"results":[219,465],"show":[220,255],"that":[221,257,471],"parameter":[223,268,353],"groups":[224,269],"which":[229,288,323],"located":[234,296,329],"on":[235,242,297,330],"or":[241,489],"regions":[246,302,310,335,344],"near":[247,303,336,369,490],"boundary.":[252],"Numerical":[253],"simulations":[254],"CNNs":[260,433,452],"similar":[263],"dynamics":[264],"if":[266,480],"selected":[271],"same":[273],"as":[274],"those":[275,447],"model.":[279],"particular,":[281],"parameters":[283,318,405,485],"exhibit":[289,324],"twinkling-eye":[290,412],"pinwheel":[293,414],"edges":[299],"boundaries":[305,338],"respect":[312,346,377],"to":[313,347,378,385,441,446],".":[316,350,391],"models":[322],"labyrinthine":[325,416],"stripelike":[326,417],"However":[351],"group":[354],"isolated":[360,420],"is":[363],"region":[368],"boundary":[371],"whose":[382],"trajectories":[383],"tend":[384],"Choosing":[392],"kind":[394],"triggering":[396],"initial":[397,454],"conditions":[398,455],"given":[399],"[Chua,":[401],"1997],":[402],"equations":[409],"three":[423],"kinds":[424],"new":[426],"waves":[428],"generated":[429,448],"were":[434],"observed":[435],"numerical":[437],"simulations.":[438],"They":[439],"seem":[440],"be":[442],"essentially":[443],"different":[444],"consisting":[456],"plus":[460],"small":[461],"random":[462],"perturbations.":[463],"Our":[464],"demonstrate":[466],"once":[467],"again":[468],"Chua's":[469],"assertion":[470],"wide":[473],"spectrum":[474],"behaviors":[477],"may":[478],"exist":[479],"corresponding":[482],"chosen":[487],"region.":[495]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-16T13:24:37.021932","created_date":"2025-10-10T00:00:00"}
