{"id":"https://openalex.org/W4362696330","doi":"https://doi.org/10.3233/jifs-222020","title":"The stability of interval two-dimensional semi-linear differential equations based on constrained interval arithmetic","display_name":"The stability of interval two-dimensional semi-linear differential equations based on constrained interval arithmetic","publication_year":2023,"publication_date":"2023-04-07","ids":{"openalex":"https://openalex.org/W4362696330","doi":"https://doi.org/10.3233/jifs-222020"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-222020","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-222020","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","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/A5017668330","display_name":"Zhaodan Zhi","orcid":null},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhaodan Zhi","raw_affiliation_strings":["Department of Mathematics, College of Mathematics & Statistics, Guizhou University, Guiyang, Guizhou, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Mathematics & Statistics, Guizhou University, Guiyang, Guizhou, P.R. China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001995561","display_name":"Juan Tao","orcid":"https://orcid.org/0000-0003-4835-5735"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Juan Tao","raw_affiliation_strings":["Department of Mathematics, College of Mathematics & Statistics, Guizhou University, Guiyang, Guizhou, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Mathematics & Statistics, Guizhou University, Guiyang, Guizhou, P.R. China","institution_ids":["https://openalex.org/I178232147"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001995561"],"corresponding_institution_ids":["https://openalex.org/I178232147"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05584699,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":"6","first_page":"10297","last_page":"10310"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.7328239679336548},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7221571207046509},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.6196344494819641},{"id":"https://openalex.org/keywords/linear-differential-equation","display_name":"Linear differential equation","score":0.5987780690193176},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5782844424247742},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5458512902259827},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.5429825782775879},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.5410676002502441},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5105910897254944},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4858683943748474},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.4499821662902832},{"id":"https://openalex.org/keywords/linear-stability","display_name":"Linear stability","score":0.4246100187301636},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38478052616119385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11883878707885742},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07865792512893677},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07818076014518738}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7328239679336548},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7221571207046509},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.6196344494819641},{"id":"https://openalex.org/C13982400","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Linear differential equation","level":3,"score":0.5987780690193176},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5782844424247742},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5458512902259827},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.5429825782775879},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.5410676002502441},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5105910897254944},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4858683943748474},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.4499821662902832},{"id":"https://openalex.org/C43466630","wikidata":"https://www.wikidata.org/wiki/Q17098945","display_name":"Linear stability","level":3,"score":0.4246100187301636},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38478052616119385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11883878707885742},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07865792512893677},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07818076014518738},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-222020","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-222020","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","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":21,"referenced_works":["https://openalex.org/W1483874187","https://openalex.org/W1986928005","https://openalex.org/W2015136438","https://openalex.org/W2019778661","https://openalex.org/W2034038007","https://openalex.org/W2058445758","https://openalex.org/W2081026153","https://openalex.org/W2675961628","https://openalex.org/W2735099724","https://openalex.org/W2762482793","https://openalex.org/W2810347102","https://openalex.org/W3033250623","https://openalex.org/W3084295014","https://openalex.org/W3095040925","https://openalex.org/W3095365262","https://openalex.org/W3096950809","https://openalex.org/W3151866737","https://openalex.org/W3193326731","https://openalex.org/W3194837772","https://openalex.org/W4220868607","https://openalex.org/W6778759839"],"related_works":["https://openalex.org/W2480891983","https://openalex.org/W2126187553","https://openalex.org/W2042646953","https://openalex.org/W2098986800","https://openalex.org/W4234417929","https://openalex.org/W2060558425","https://openalex.org/W58111244","https://openalex.org/W2296985917","https://openalex.org/W2368992858","https://openalex.org/W2316175009"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"the":[3,17,29,35,46,51,73,78,81,90,100,108,116,121,131,135],"constrained":[4],"interval":[5,21,36,47,63,74,101,112,138],"arithmetic":[6],"(CIA)":[7],"is":[8,31,42,69,97],"used":[9],"as":[10,118],"an":[11],"effective":[12],"mathematical":[13],"tool":[14],"for":[15,20,137],"solving":[16],"stability":[18,109,132],"analysis":[19],"two-dimensional":[22,139],"semi-linear":[23,37,64,140],"differential":[24,38,65,103,113,123,141],"equations.":[25,104,124,142],"Under":[26],"certain":[27],"assumptions,":[28],"origin":[30,52,136],"a":[32,43,55,57,60,70,94],"focus":[33,44,61],"of":[34,45,62,72,83,111,120,134],"equations":[39,66,114],"if":[40,67],"it":[41,68],"linear":[48,75,91,102],"ones.":[49,76],"Meanwhile,":[50],"can":[53],"be":[54],"center,":[56],"center-focus":[58],"or":[59],"center":[71],"On":[77],"other":[79],"word,":[80],"types":[82],"equilibrium":[84],"point":[85],"are":[86,115],"still":[87],"determined":[88],"by":[89],"part":[92],"when":[93],"nonlinear":[95],"disturbance":[96],"added":[98],"to":[99],"Based":[105],"on":[106],"CIA,":[107],"results":[110,133],"same":[117],"those":[119],"real":[122],"At":[125],"last,":[126],"three":[127],"illustrative":[128],"examples":[129],"validate":[130]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}