{"id":"https://openalex.org/W2078442503","doi":"https://doi.org/10.1142/s021812740300803x","title":"Some Analytical Criteria for Local Activity of Three-Port CNN with Four State Variables: Analysis and Applications","display_name":"Some Analytical Criteria for Local Activity of Three-Port CNN with Four State Variables: Analysis and Applications","publication_year":2003,"publication_date":"2003-08-01","ids":{"openalex":"https://openalex.org/W2078442503","doi":"https://doi.org/10.1142/s021812740300803x","mag":"2078442503"},"language":"en","primary_location":{"id":"doi:10.1142/s021812740300803x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740300803x","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":["Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101663420","display_name":"Jingtao Wang","orcid":"https://orcid.org/0000-0002-1712-7898"},"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":"Jingtao Wang","raw_affiliation_strings":["Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066880964","display_name":"Xisong Dong","orcid":"https://orcid.org/0000-0003-2780-2663"},"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":"Xisong Dong","raw_affiliation_strings":["Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024633466","display_name":"Guanrong Chen","orcid":"https://orcid.org/0000-0003-1381-7418"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guanrong Chen","raw_affiliation_strings":["Department of Electronic Engineering,  City University of Hong Kong, P. R. China","Department of Electronic Engineering, City University of Hong Kong, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering,  City University of Hong Kong, P. R. China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, P. R. China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.902,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.75461648,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"08","first_page":"2189","last_page":"2239"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13052","display_name":"Molecular Communication and Nanonetworks","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13052","display_name":"Molecular Communication and Nanonetworks","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9965000152587891,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9955000281333923,"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/cellular-neural-network","display_name":"Cellular neural network","score":0.7616851329803467},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5766090154647827},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5321853160858154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4829834997653961},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42526885867118835},{"id":"https://openalex.org/keywords/edge-of-chaos","display_name":"Edge of chaos","score":0.42388951778411865},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4150884747505188},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40914034843444824},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.23358464241027832},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2290569245815277},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15887147188186646},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1437602937221527}],"concepts":[{"id":"https://openalex.org/C812465","wikidata":"https://www.wikidata.org/wiki/Q5058375","display_name":"Cellular neural network","level":3,"score":0.7616851329803467},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5766090154647827},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5321853160858154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4829834997653961},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42526885867118835},{"id":"https://openalex.org/C2780713532","wikidata":"https://www.wikidata.org/wiki/Q93158","display_name":"Edge of chaos","level":2,"score":0.42388951778411865},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4150884747505188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40914034843444824},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.23358464241027832},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2290569245815277},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15887147188186646},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1437602937221527},{"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/s021812740300803x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740300803x","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":0.6299999952316284,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309411","display_name":"University of California Berkeley","ror":"https://ror.org/01an7q238"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W261908445","https://openalex.org/W1598099041","https://openalex.org/W1964614740","https://openalex.org/W1974011730","https://openalex.org/W1991752226","https://openalex.org/W1995627131","https://openalex.org/W2046316166","https://openalex.org/W2094606883","https://openalex.org/W2103048921","https://openalex.org/W2122840397","https://openalex.org/W2153653041","https://openalex.org/W2171737037"],"related_works":["https://openalex.org/W2373629362","https://openalex.org/W2952585100","https://openalex.org/W2118964038","https://openalex.org/W4312648141","https://openalex.org/W1013288326","https://openalex.org/W1981364541","https://openalex.org/W3216576004","https://openalex.org/W2122977518","https://openalex.org/W657337705","https://openalex.org/W2586664320"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"some":[3],"analytical":[4],"criteria":[5],"for":[6,89,146],"local":[7,23],"activity":[8],"principle":[9],"in":[10,247],"reaction\u2013diffusion":[11,159],"Cellular":[12],"Nonlinear":[13],"Network":[14],"(CNN)":[15],"cells":[16,51],"[Chua,":[17],"1997,":[18],"1999]":[19],"that":[20,101,189,230],"have":[21],"four":[22],"state":[24,163,195,213],"variables":[25,164,196,214],"with":[26,141,161],"three":[27,142,162],"ports.":[28,167],"As":[29,130],"a":[30,33,131,134,156,231],"first":[31],"application,":[32,133],"cellular":[34],"nonlinear":[35],"network":[36],"model":[37],"of":[38,60,71,82,92,126,170,184,191,193,197,215,234,252],"tumor":[39],"growth":[40],"and":[41,62,73,96,104,110,165,182,205,207,210],"immune":[42],"surveillance":[43],"against":[44],"cancer":[45,64,93,108],"(GISAC)":[46],"is":[47,144],"discussed,":[48],"which":[49,147,176],"has":[50],"defined":[52],"by":[53,153],"the":[54,58,69,83,90,124,127,148,171,194,198,208,211,216,240,250],"Lefever\u2013Erneaux":[55],"equations,":[56],"representing":[57],"densities":[59],"alive":[61],"dead":[63],"cells,":[65,76],"as":[66,68,155],"well":[67],"number":[70],"free":[72],"bound":[74],"cytotoxic":[75],"per":[77],"unit":[78],"volume.":[79],"Bifurcation":[80,168],"diagrams":[81,169],"GISAC":[84],"CNN":[85,140,160,173,200,242],"provide":[86],"possible":[87],"explanations":[88],"mechanism":[91],"diffusion,":[94],"control,":[95],"elimination.":[97],"Numerical":[98,186],"simulations":[99,187],"show":[100,188],"oscillatory":[102],"patterns":[103,106,192],"convergent":[105],"(representing":[107],"diffusion":[109],"elimination,":[111],"respectively)":[112],"may":[113,219,237],"emerge":[114],"if":[115,239],"selected":[116],"cell":[117,243],"parameters":[118,244],"are":[119,174,245],"located":[120],"nearby":[121,249],"or":[122,248],"on":[123],"edge":[125,251],"chaos":[128],"domain.":[129],"second":[132,209],"smoothed":[135],"Chua's":[136,228],"oscillator":[137],"circuit":[138],"(SCC)":[139],"ports":[143],"studied,":[145],"original":[149],"prototype":[150],"was":[151],"introduced":[152],"Chua":[154],"dual-layer":[157],"two-dimensional":[158],"two":[166],"SCC":[172,199,217],"computed,":[175],"only":[177],"demonstrate":[178,225],"active":[179],"unstable":[180],"domains":[181],"edges":[183],"chaos.":[185,253],"evolution":[190],"can":[201],"exhibit":[202,220],"divergence,":[203],"periodicity,":[204],"chaos;":[206],"fourth":[212],"CNNs":[218],"generalized":[221],"synchronization.":[222],"These":[223],"results":[224],"once":[226],"again":[227],"assertion":[229],"wide":[232],"spectrum":[233],"complex":[235],"behaviors":[236],"exist":[238],"corresponding":[241],"chosen":[246]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}