{"id":"https://openalex.org/W2082292516","doi":"https://doi.org/10.1007/s11432-008-0020-6","title":"Theory and application of stability for stochastic reaction diffusion systems","display_name":"Theory and application of stability for stochastic reaction diffusion systems","publication_year":2008,"publication_date":"2008-01-17","ids":{"openalex":"https://openalex.org/W2082292516","doi":"https://doi.org/10.1007/s11432-008-0020-6","mag":"2082292516"},"language":"en","primary_location":{"id":"doi:10.1007/s11432-008-0020-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11432-008-0020-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210224633","display_name":"Science in China Series F Information Sciences","issn_l":"1009-2757","issn":["1009-2757","1862-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science in China Series F: Information Sciences","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/A5101369519","display_name":"Qi Luo","orcid":"https://orcid.org/0000-0001-7395-8453"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qi Luo","raw_affiliation_strings":["College of Information and Control, Nanjing University of Information Science & Technology, Nanjing, 210044, China","College of Information and Control, Nanjing University of Information Science and Technology, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information and Control, Nanjing University of Information Science & Technology, Nanjing, 210044, China","institution_ids":["https://openalex.org/I200845125"]},{"raw_affiliation_string":"College of Information and Control, Nanjing University of Information Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I200845125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063134490","display_name":"Feiqi Deng","orcid":"https://orcid.org/0000-0002-0257-5647"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"FeiQi Deng","raw_affiliation_strings":["College of Automation, South China University of Technology, Guangzhou, 410640, China","Coll. of Autom., South China Univ. of Technol., Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation, South China University of Technology, Guangzhou, 410640, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"Coll. of Autom., South China Univ. of Technol., Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079550034","display_name":"Xuerong Mao","orcid":"https://orcid.org/0000-0002-6768-9864"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"XueRong Mao","raw_affiliation_strings":["Department of Statistics and Modelling Science University of Strathclyde Glasgow, G1 1XH, Scotland, UK","Department of Statistics & Modelling Science , University of Strathclyde , Glasgow, Scotland, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Modelling Science University of Strathclyde Glasgow, G1 1XH, Scotland, UK","institution_ids":["https://openalex.org/I181647926"]},{"raw_affiliation_string":"Department of Statistics & Modelling Science , University of Strathclyde , Glasgow, Scotland, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"middle","author":{"id":null,"display_name":"JunDong Bao","orcid":null},"institutions":[{"id":"https://openalex.org/I22046295","display_name":"Inner Mongolia Normal University","ror":"https://ror.org/0497ase59","country_code":"CN","type":"education","lineage":["https://openalex.org/I22046295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JunDong Bao","raw_affiliation_strings":["College of Mathematics Science, Inner Mongolia Normal University, Huhhot, 010000, China","College of Mathematics Science, Inner Mongolia Normal University, Huhhot, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics Science, Inner Mongolia Normal University, Huhhot, 010000, China","institution_ids":["https://openalex.org/I22046295"]},{"raw_affiliation_string":"College of Mathematics Science, Inner Mongolia Normal University, Huhhot, China","institution_ids":["https://openalex.org/I22046295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101970524","display_name":"Yutian Zhang","orcid":"https://orcid.org/0009-0005-3096-2803"},"institutions":[{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YuTian Zhang","raw_affiliation_strings":["College of Mathematics and Physics, Nanjing University of Information Science & Technology, Nanjing, 210044, China","College of Mathematics and Physics; Nanjing University of Information Science and Technology; Nanjing China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Physics, Nanjing University of Information Science & Technology, Nanjing, 210044, China","institution_ids":["https://openalex.org/I200845125"]},{"raw_affiliation_string":"College of Mathematics and Physics; Nanjing University of Information Science and Technology; Nanjing China","institution_ids":["https://openalex.org/I200845125"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101369519"],"corresponding_institution_ids":["https://openalex.org/I200845125"],"apc_list":null,"apc_paid":null,"fwci":1.3668,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.87822267,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"51","issue":"2","first_page":"158","last_page":"170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9987000226974487,"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":0.9987000226974487,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9894999861717224,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9772999882698059,"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":0.7597869634628296},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6746559143066406},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6636314392089844},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6124029159545898},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5093308687210083},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.49316543340682983},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4827389121055603},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4694387912750244},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.44476425647735596},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4262341260910034},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33001473546028137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1659676432609558},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14075911045074463},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.062143534421920776}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7597869634628296},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6746559143066406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6636314392089844},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6124029159545898},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5093308687210083},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.49316543340682983},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4827389121055603},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4694387912750244},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.44476425647735596},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4262341260910034},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33001473546028137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1659676432609558},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14075911045074463},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.062143534421920776},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11432-008-0020-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11432-008-0020-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210224633","display_name":"Science in China Series F Information Sciences","issn_l":"1009-2757","issn":["1009-2757","1862-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science in China Series F: Information Sciences","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":50,"referenced_works":["https://openalex.org/W51407939","https://openalex.org/W52673114","https://openalex.org/W85734093","https://openalex.org/W1483382787","https://openalex.org/W1542004730","https://openalex.org/W1579485993","https://openalex.org/W1907329279","https://openalex.org/W1965162904","https://openalex.org/W1966303277","https://openalex.org/W1967408804","https://openalex.org/W1968117726","https://openalex.org/W1972465241","https://openalex.org/W1974105580","https://openalex.org/W1975589362","https://openalex.org/W1984977947","https://openalex.org/W1992000059","https://openalex.org/W1995998075","https://openalex.org/W2000522534","https://openalex.org/W2003814439","https://openalex.org/W2007700189","https://openalex.org/W2008539673","https://openalex.org/W2009802270","https://openalex.org/W2010526455","https://openalex.org/W2011789929","https://openalex.org/W2022609126","https://openalex.org/W2029857205","https://openalex.org/W2034293349","https://openalex.org/W2044804344","https://openalex.org/W2049867408","https://openalex.org/W2049911727","https://openalex.org/W2053231028","https://openalex.org/W2058922206","https://openalex.org/W2068577022","https://openalex.org/W2069441636","https://openalex.org/W2079078233","https://openalex.org/W2079884635","https://openalex.org/W2089341572","https://openalex.org/W2090100354","https://openalex.org/W2092927198","https://openalex.org/W2104159862","https://openalex.org/W2109867828","https://openalex.org/W2113687945","https://openalex.org/W2128084896","https://openalex.org/W2144737232","https://openalex.org/W2279277757","https://openalex.org/W2328340173","https://openalex.org/W2494267697","https://openalex.org/W3020818737","https://openalex.org/W4232411235","https://openalex.org/W4300475775"],"related_works":["https://openalex.org/W1495650726","https://openalex.org/W1963827486","https://openalex.org/W2774419655","https://openalex.org/W2734649795","https://openalex.org/W2378841998","https://openalex.org/W3198848997","https://openalex.org/W2884265924","https://openalex.org/W2144481813","https://openalex.org/W4247926273","https://openalex.org/W2040261945"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-09-01T08:31:24.195828","created_date":"2025-10-10T00:00:00"}