{"id":"https://openalex.org/W2035832954","doi":"https://doi.org/10.1007/s00521-011-0680-9","title":"Global stability analysis of multitime-scale neural networks","display_name":"Global stability analysis of multitime-scale neural networks","publication_year":2011,"publication_date":"2011-07-27","ids":{"openalex":"https://openalex.org/W2035832954","doi":"https://doi.org/10.1007/s00521-011-0680-9","mag":"2035832954"},"language":"en","primary_location":{"id":"doi:10.1007/s00521-011-0680-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-011-0680-9","pdf_url":null,"source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"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":"Neural Computing and Applications","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":null,"display_name":"Zhanshan Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhanshan Wang","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China","northeastern Univ"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"northeastern Univ","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031261158","display_name":"Enlin Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Enlin Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China","northeastern Univ"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"northeastern Univ","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100625792","display_name":"Huaguang Zhang","orcid":"https://orcid.org/0000-0002-2375-9824"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaguang Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China","northeastern Univ"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"northeastern Univ","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057649119","display_name":"Zhengyun Ren","orcid":"https://orcid.org/0000-0002-6731-7382"},"institutions":[{"id":"https://openalex.org/I181326427","display_name":"Donghua University","ror":"https://ror.org/035psfh38","country_code":"CN","type":"education","lineage":["https://openalex.org/I181326427"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengyun Ren","raw_affiliation_strings":["College of Information Science and Technology, Donghua University, Shanghai, China","Donghua University"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Donghua University, Shanghai, China","institution_ids":["https://openalex.org/I181326427"]},{"raw_affiliation_string":"Donghua University","institution_ids":["https://openalex.org/I181326427"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7391,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73106282,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"2","first_page":"211","last_page":"217"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9973000288009644,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.989300012588501,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.6826964616775513},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6461619734764099},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.6122111678123474},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.593143105506897},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5922728180885315},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5479297041893005},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5270628929138184},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.49003612995147705},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46789515018463135},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.44187667965888977},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4242691993713379},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.41002845764160156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4068329930305481},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.25054657459259033},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1830504834651947},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11526164412498474}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6826964616775513},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6461619734764099},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.6122111678123474},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.593143105506897},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5922728180885315},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5479297041893005},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5270628929138184},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.49003612995147705},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46789515018463135},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.44187667965888977},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4242691993713379},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.41002845764160156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4068329930305481},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.25054657459259033},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1830504834651947},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11526164412498474},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00521-011-0680-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00521-011-0680-9","pdf_url":null,"source":{"id":"https://openalex.org/S147897268","display_name":"Neural Computing and Applications","issn_l":"0941-0643","issn":["0941-0643","1433-3058"],"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":"Neural Computing and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1508115766","https://openalex.org/W1605313269","https://openalex.org/W1967011375","https://openalex.org/W1970622727","https://openalex.org/W1972536405","https://openalex.org/W1992381023","https://openalex.org/W1992408221","https://openalex.org/W2033154520","https://openalex.org/W2035995768","https://openalex.org/W2041013595","https://openalex.org/W2043369212","https://openalex.org/W2069656710","https://openalex.org/W2083331766","https://openalex.org/W2101879828","https://openalex.org/W2102819580","https://openalex.org/W2117274170","https://openalex.org/W2119297641","https://openalex.org/W2157557180","https://openalex.org/W2159826488","https://openalex.org/W2168091652"],"related_works":["https://openalex.org/W2517876334","https://openalex.org/W2078609410","https://openalex.org/W2472237121","https://openalex.org/W4323316863","https://openalex.org/W1985111449","https://openalex.org/W2392320810","https://openalex.org/W1985352344","https://openalex.org/W4304789336","https://openalex.org/W1593898832","https://openalex.org/W2340692695"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}