{"id":"https://openalex.org/W2087824310","doi":"https://doi.org/10.1007/s00332-005-0647-z","title":"Co-Existence of Chaos and Stable Periodic Orbits in a Simple Discrete Neural Network","display_name":"Co-Existence of Chaos and Stable Periodic Orbits in a Simple Discrete Neural Network","publication_year":2005,"publication_date":"2005-09-22","ids":{"openalex":"https://openalex.org/W2087824310","doi":"https://doi.org/10.1007/s00332-005-0647-z","mag":"2087824310"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-005-0647-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-005-0647-z","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","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/A5070956286","display_name":"Yu Huang","orcid":"https://orcid.org/0000-0002-1138-1828"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Y. Huang","raw_affiliation_strings":["Department of Mathematics, Zhongshan University, Guangzhou 510275, P. R. China","Department of Mathematics, Zhongshan University, Guangzhou 510275"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhongshan University, Guangzhou 510275, P. R. China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Department of Mathematics, Zhongshan University, Guangzhou 510275","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071395170","display_name":"Xingfu Zou","orcid":"https://orcid.org/0000-0002-8403-3314"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"X. Zou","raw_affiliation_strings":["Department of Applied Mathematics, University of Western Ontario,\nLondon, Ontario, N6A 5B7, Canada","Department of Applied Mathematics, University of Western Ontario, London, Ontario N6A 5B7"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Western Ontario,\nLondon, Ontario, N6A 5B7, Canada","institution_ids":["https://openalex.org/I125749732"]},{"raw_affiliation_string":"Department of Applied Mathematics, University of Western Ontario, London, Ontario N6A 5B7","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070956286"],"corresponding_institution_ids":["https://openalex.org/I157773358"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.3701,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.85101572,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"5","first_page":"291","last_page":"303"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10244","display_name":"Chaos control and synchronization","score":0.9970999956130981,"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":0.9930999875068665,"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/simple","display_name":"Simple (philosophy)","score":0.8121660947799683},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.6775846481323242},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6552813053131104},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.610163152217865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5601036548614502},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4881361424922943},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4246480166912079},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36129632592201233},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.35456162691116333},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35231125354766846},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33961713314056396},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3337286114692688},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27337735891342163},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2567513585090637},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12771156430244446},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07055392861366272}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.8121660947799683},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.6775846481323242},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6552813053131104},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.610163152217865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5601036548614502},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4881361424922943},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4246480166912079},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36129632592201233},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35456162691116333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35231125354766846},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33961713314056396},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3337286114692688},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27337735891342163},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2567513585090637},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12771156430244446},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07055392861366272},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00332-005-0647-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-005-0647-z","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.91.3480","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.91.3480","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.apmaths.uwo.ca/~xzou/Repr/jns05.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1569683457","https://openalex.org/W1597286183","https://openalex.org/W1967377033","https://openalex.org/W1979361305","https://openalex.org/W2023312989","https://openalex.org/W2024306217","https://openalex.org/W2045673833","https://openalex.org/W2050593189","https://openalex.org/W2053416628","https://openalex.org/W2058791052","https://openalex.org/W2059340344","https://openalex.org/W2059759836","https://openalex.org/W2064548472","https://openalex.org/W2068304817","https://openalex.org/W2076481944","https://openalex.org/W2076998221","https://openalex.org/W2130932804","https://openalex.org/W2160271099","https://openalex.org/W2162506793","https://openalex.org/W3123317843"],"related_works":["https://openalex.org/W2320196587","https://openalex.org/W4247599920","https://openalex.org/W4243901518","https://openalex.org/W4383267773","https://openalex.org/W3110439525","https://openalex.org/W4251075027","https://openalex.org/W2393451533","https://openalex.org/W2358131398","https://openalex.org/W2027932829","https://openalex.org/W2069164830"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
