{"id":"https://openalex.org/W2040823486","doi":"https://doi.org/10.1142/s0218127409024839","title":"GLOBAL EXPONENTIAL STABILITY OF CHUA'S REACTION\u2013DIFFUSION CNN","display_name":"GLOBAL EXPONENTIAL STABILITY OF CHUA'S REACTION\u2013DIFFUSION CNN","publication_year":2009,"publication_date":"2009-10-01","ids":{"openalex":"https://openalex.org/W2040823486","doi":"https://doi.org/10.1142/s0218127409024839","mag":"2040823486"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409024839","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024839","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/A5102113329","display_name":"Yunquan Ke","orcid":null},"institutions":[{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YUNQUAN KE","raw_affiliation_strings":["Department of Mathematics, Shaoxing University, Shaoxing 312000, P. R. China","Department of Mathematics, Shaoxing University, Shaoxing, 312000, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shaoxing University, Shaoxing 312000, P. R. China","institution_ids":["https://openalex.org/I192209268"]},{"raw_affiliation_string":"Department of Mathematics, Shaoxing University, Shaoxing, 312000, P. R. China","institution_ids":["https://openalex.org/I192209268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109152953","display_name":"Chunfang Miao","orcid":null},"institutions":[{"id":"https://openalex.org/I192209268","display_name":"Shaoxing University","ror":"https://ror.org/0435tej63","country_code":"CN","type":"education","lineage":["https://openalex.org/I192209268"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"CHUNFANG MIAO","raw_affiliation_strings":["Department of Mathematics, Shaoxing University, Shaoxing 312000, P. R. China","Department of Mathematics, Shaoxing University, Shaoxing, 312000, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shaoxing University, Shaoxing 312000, P. R. China","institution_ids":["https://openalex.org/I192209268"]},{"raw_affiliation_string":"Department of Mathematics, Shaoxing University, Shaoxing, 312000, P. R. China","institution_ids":["https://openalex.org/I192209268"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I192209268"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12969378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"10","first_page":"3397","last_page":"3406"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.791161298751831},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6220746636390686},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.602261483669281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5927897691726685},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5612906813621521},{"id":"https://openalex.org/keywords/homeomorphism","display_name":"Homeomorphism (graph theory)","score":0.5361997485160828},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.5347911715507507},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.531843900680542},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.531096339225769},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5228883624076843},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.445651113986969},{"id":"https://openalex.org/keywords/m-matrix","display_name":"M-matrix","score":0.42339494824409485},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3847421705722809},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27886340022087097},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24658048152923584},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16706866025924683},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14034304022789001},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11168992519378662},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10628777742385864},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.09987649321556091},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09680113196372986},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06767123937606812},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.055855631828308105}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.791161298751831},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6220746636390686},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.602261483669281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5927897691726685},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5612906813621521},{"id":"https://openalex.org/C10728891","wikidata":"https://www.wikidata.org/wiki/Q584521","display_name":"Homeomorphism (graph theory)","level":2,"score":0.5361997485160828},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.5347911715507507},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.531843900680542},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.531096339225769},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5228883624076843},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.445651113986969},{"id":"https://openalex.org/C61987429","wikidata":"https://www.wikidata.org/wiki/Q3064355","display_name":"M-matrix","level":3,"score":0.42339494824409485},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3847421705722809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27886340022087097},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24658048152923584},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16706866025924683},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14034304022789001},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11168992519378662},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10628777742385864},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.09987649321556091},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09680113196372986},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06767123937606812},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.055855631828308105},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/s0218127409024839","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024839","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":8,"referenced_works":["https://openalex.org/W1968756330","https://openalex.org/W1972071927","https://openalex.org/W1974011730","https://openalex.org/W2008320588","https://openalex.org/W2032705790","https://openalex.org/W2041711956","https://openalex.org/W2117748031","https://openalex.org/W2121752938"],"related_works":["https://openalex.org/W1978738522","https://openalex.org/W2095028518","https://openalex.org/W2377228964","https://openalex.org/W2059311322","https://openalex.org/W2057482994","https://openalex.org/W1988317900","https://openalex.org/W2536963663","https://openalex.org/W1989732506","https://openalex.org/W2382677675","https://openalex.org/W2379959631"],"abstract_inverted_index":{"In":[0],"this":[1,15],"paper,":[2],"the":[3,21,28,37,53],"global":[4,24],"exponential":[5,25],"stability":[6,26],"of":[7,27,39,55],"Chua's":[8],"reaction\u2013diffusion":[9],"CNN":[10],"system":[11],"is":[12,31],"investigated.":[13],"For":[14],"system,":[16],"some":[17],"sufficient":[18],"conditions":[19],"ensuring":[20],"existence":[22],"and":[23,42],"equilibrium":[29],"point":[30],"derived":[32],"by":[33],"using":[34],"homeomorphism":[35],"mapping,":[36],"property":[38],"coefficient":[40],"matrix":[41],"analytical":[43],"techniques.":[44],"Finally,":[45],"three":[46],"illustrative":[47],"examples":[48],"are":[49],"given":[50],"to":[51],"show":[52],"effectiveness":[54],"our":[56],"results.":[57]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}