{"id":"https://openalex.org/W2079584804","doi":"https://doi.org/10.1142/s0218127404010552","title":"LOCAL ACTIVITY OF THE VAN DER POL CNN","display_name":"LOCAL ACTIVITY OF THE VAN DER POL CNN","publication_year":2004,"publication_date":"2004-07-01","ids":{"openalex":"https://openalex.org/W2079584804","doi":"https://doi.org/10.1142/s0218127404010552","mag":"2079584804"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127404010552","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404010552","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":"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"],"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"]}]}],"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":4,"citation_normalized_percentile":{"value":0.17099937,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"14","issue":"07","first_page":"2211","last_page":"2222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9991000294685364,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/van-der-pol-oscillator","display_name":"Van der Pol oscillator","score":0.8297975659370422},{"id":"https://openalex.org/keywords/edge-of-chaos","display_name":"Edge of chaos","score":0.7351881265640259},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.646122932434082},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5965467691421509},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5789857506752014},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.527971088886261},{"id":"https://openalex.org/keywords/cellular-neural-network","display_name":"Cellular neural network","score":0.5223302245140076},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.44421863555908203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4276065528392792},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42225638031959534},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.39315542578697205},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38112667202949524},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.37773680686950684},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.3262123167514801},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26808804273605347},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.23854726552963257},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19511950016021729},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1695382297039032},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12742212414741516},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08339127898216248}],"concepts":[{"id":"https://openalex.org/C98010927","wikidata":"https://www.wikidata.org/wiki/Q2081515","display_name":"Van der Pol oscillator","level":3,"score":0.8297975659370422},{"id":"https://openalex.org/C2780713532","wikidata":"https://www.wikidata.org/wiki/Q93158","display_name":"Edge of chaos","level":2,"score":0.7351881265640259},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.646122932434082},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5965467691421509},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5789857506752014},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.527971088886261},{"id":"https://openalex.org/C812465","wikidata":"https://www.wikidata.org/wiki/Q5058375","display_name":"Cellular neural network","level":3,"score":0.5223302245140076},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.44421863555908203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4276065528392792},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42225638031959534},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39315542578697205},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38112667202949524},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.37773680686950684},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3262123167514801},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26808804273605347},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.23854726552963257},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19511950016021729},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1695382297039032},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12742212414741516},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08339127898216248}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127404010552","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404010552","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/W1964614740","https://openalex.org/W1974011730","https://openalex.org/W1991752226","https://openalex.org/W1995627131","https://openalex.org/W2046316166","https://openalex.org/W2094606883","https://openalex.org/W2153653041","https://openalex.org/W2171737037"],"related_works":["https://openalex.org/W2161980938","https://openalex.org/W2375654348","https://openalex.org/W2391540797","https://openalex.org/W2005355485","https://openalex.org/W2703435152","https://openalex.org/W168375694","https://openalex.org/W3153461053","https://openalex.org/W1570727143","https://openalex.org/W2119092717","https://openalex.org/W2050899980"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"a":[3,20,55,67],"class":[4],"of":[5,50,62,92,101],"coupled":[6,21],"Van":[7],"der":[8],"Pol":[9],"(CVDP)":[10],"cellular":[11],"neural":[12],"networks":[13],"(CNNs)":[14],"that":[15,46],"can":[16],"be":[17],"realized":[18],"via":[19],"fourth-order":[22],"circuit":[23],"with":[24,59],"two":[25],"synaptic":[26],"currents.":[27],"The":[28],"local":[29,56],"activity":[30,57],"theory,":[31],"developed":[32],"by":[33],"Chua":[34],"in":[35,79],"1997,":[36],"is":[37],"applied":[38],"to":[39],"study":[40],"the":[41,47,51,90,99],"CVDP":[42,52],"CNN,":[43],"thereby":[44],"revealing":[45],"bifurcation":[48],"diagram":[49],"CNN":[53],"has":[54],"domain":[58],"an":[60],"edge":[61,100],"chaos,":[63],"as":[64,66,89],"well":[65],"one-dimensional":[68],"locally":[69],"passive":[70],"domain.":[71],"Although":[72],"no":[73],"chaotic":[74],"phenomena":[75],"have":[76,85],"been":[77,86],"identified":[78],"simulations,":[80],"many":[81],"complex":[82],"dynamical":[83],"behaviors":[84],"observed,":[87],"such":[88],"co-existence":[91],"one-periodic,":[93],"divergent,":[94],"and":[95],"convergent":[96],"orbits,":[97],"at":[98],"chaos.":[102]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
