{"id":"https://openalex.org/W2036749069","doi":"https://doi.org/10.1023/a:1018972409754","title":"Global solutions for nonlinear systems using qualitative reasoning","display_name":"Global solutions for nonlinear systems using qualitative reasoning","publication_year":1998,"publication_date":"1998-11-01","ids":{"openalex":"https://openalex.org/W2036749069","doi":"https://doi.org/10.1023/a:1018972409754","mag":"2036749069"},"language":"en","primary_location":{"id":"doi:10.1023/a:1018972409754","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1018972409754","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"Annals of Mathematics and Artificial Intelligence","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/A5062700710","display_name":"Elizabeth Bradley","orcid":"https://orcid.org/0000-0002-4567-2543"},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"E. Bradley","raw_affiliation_strings":["Department of Computer Science, University of Colorado, Boulder, CO, 80309-0430, USA","Department of Computer Science, University of Colorado, Boulder, CO 80309‐0430, USA E-mail: lizb@cs.colorado.edu#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Colorado, Boulder, CO, 80309-0430, USA","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Department of Computer Science, University of Colorado, Boulder, CO 80309‐0430, USA E-mail: lizb@cs.colorado.edu#TAB#","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108448310","display_name":"Agnes O\u2019Gallagher","orcid":null},"institutions":[{"id":"https://openalex.org/I1321296531","display_name":"National Institute of Standards and Technology","ror":"https://ror.org/05xpvk416","country_code":"US","type":"funder","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. O'Gallagher","raw_affiliation_strings":["National Institute of Standards and Technology, Boulder, CO, 80303-3328, USA","National Institute of Standards and Technology, Boulder, CO 80303‐3328, USA E-mail: {abbie;jrogers}@boulder.nist.gov#TAB#"],"affiliations":[{"raw_affiliation_string":"National Institute of Standards and Technology, Boulder, CO, 80303-3328, USA","institution_ids":["https://openalex.org/I1321296531"]},{"raw_affiliation_string":"National Institute of Standards and Technology, Boulder, CO 80303‐3328, USA E-mail: {abbie;jrogers}@boulder.nist.gov#TAB#","institution_ids":["https://openalex.org/I1321296531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023409812","display_name":"Janet E. Rogers","orcid":null},"institutions":[{"id":"https://openalex.org/I1321296531","display_name":"National Institute of Standards and Technology","ror":"https://ror.org/05xpvk416","country_code":"US","type":"funder","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Rogers","raw_affiliation_strings":["National Institute of Standards and Technology, Boulder, CO, 80303-3328, USA","National Institute of Standards and Technology, Boulder, CO 80303‐3328, USA E-mail: {abbie;jrogers}@boulder.nist.gov#TAB#"],"affiliations":[{"raw_affiliation_string":"National Institute of Standards and Technology, Boulder, CO, 80303-3328, USA","institution_ids":["https://openalex.org/I1321296531"]},{"raw_affiliation_string":"National Institute of Standards and Technology, Boulder, CO 80303‐3328, USA E-mail: {abbie;jrogers}@boulder.nist.gov#TAB#","institution_ids":["https://openalex.org/I1321296531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062700710"],"corresponding_institution_ids":["https://openalex.org/I188538660"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":9.9663,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.98435065,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"3-4","first_page":"211","last_page":"288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9908999800682068,"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"}},"topics":[{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9908999800682068,"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/T10906","display_name":"AI-based Problem Solving and Planning","score":0.9900000095367432,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9803000092506409,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6447886228561401},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.6066322326660156},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5964588522911072},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.560905933380127},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5490357279777527},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5231308341026306},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5002443790435791},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4474232792854309},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.44510340690612793},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3894721567630768},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3774057924747467},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3291071951389313},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.25563371181488037},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21447023749351501},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.17590954899787903}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6447886228561401},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6066322326660156},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5964588522911072},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.560905933380127},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5490357279777527},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5231308341026306},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5002443790435791},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4474232792854309},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.44510340690612793},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3894721567630768},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3774057924747467},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3291071951389313},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.25563371181488037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21447023749351501},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.17590954899787903},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1018972409754","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1018972409754","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"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":"Annals of Mathematics and Artificial Intelligence","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":37,"referenced_works":["https://openalex.org/W21733867","https://openalex.org/W135863185","https://openalex.org/W624020015","https://openalex.org/W1541276362","https://openalex.org/W1556493078","https://openalex.org/W1597251915","https://openalex.org/W1605272914","https://openalex.org/W1786620475","https://openalex.org/W1920795497","https://openalex.org/W1965324089","https://openalex.org/W1966369881","https://openalex.org/W1996196278","https://openalex.org/W2005003668","https://openalex.org/W2024239067","https://openalex.org/W2046915036","https://openalex.org/W2053190303","https://openalex.org/W2059635037","https://openalex.org/W2068484625","https://openalex.org/W2068844879","https://openalex.org/W2075788737","https://openalex.org/W2077658674","https://openalex.org/W2098918699","https://openalex.org/W2104416102","https://openalex.org/W2105934661","https://openalex.org/W2152036918","https://openalex.org/W2158208985","https://openalex.org/W2168986749","https://openalex.org/W2301746362","https://openalex.org/W2323746689","https://openalex.org/W2610216665","https://openalex.org/W2793946573","https://openalex.org/W3012317737","https://openalex.org/W3145454088","https://openalex.org/W4245478427","https://openalex.org/W4245969954","https://openalex.org/W4254772338","https://openalex.org/W6814314487"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W4288093367","https://openalex.org/W2489516236"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}