{"id":"https://openalex.org/W2006370534","doi":"https://doi.org/10.1007/s00332-002-0506-0","title":"For Differential Equations with r Parameters, 2r+1 Experiments Are Enough for Identification","display_name":"For Differential Equations with r Parameters, 2r+1 Experiments Are Enough for Identification","publication_year":2002,"publication_date":"2002-10-18","ids":{"openalex":"https://openalex.org/W2006370534","doi":"https://doi.org/10.1007/s00332-002-0506-0","mag":"2006370534"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-002-0506-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-002-0506-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-002-0506-0.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00332-002-0506-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051247768","display_name":"Sontag","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I4210096112","display_name":"Rutgers Sexual and Reproductive Health and Rights","ror":"https://ror.org/00rcvgx40","country_code":"NL","type":"other","lineage":["https://openalex.org/I4210096112"]}],"countries":["NL","US"],"is_corresponding":true,"raw_author_name":"Sontag","raw_affiliation_strings":["Department of Mathematics,  Rutgers University, New Brunswick, NJ 08903, USA  http://www.math.rutgers.edu/~sontag  e-mail: sontag@hilbert.rutgers.edu, US","School of Arts and Sciences, Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics,  Rutgers University, New Brunswick, NJ 08903, USA  http://www.math.rutgers.edu/~sontag  e-mail: sontag@hilbert.rutgers.edu, US","institution_ids":["https://openalex.org/I102322142","https://openalex.org/I4210096112"]},{"raw_affiliation_string":"School of Arts and Sciences, Mathematics","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051247768"],"corresponding_institution_ids":["https://openalex.org/I102322142","https://openalex.org/I4210096112"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":7.527,"has_fulltext":true,"cited_by_count":62,"citation_normalized_percentile":{"value":0.96061118,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"12","issue":"6","first_page":"553","last_page":"583"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9969000220298767,"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":0.9969000220298767,"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/T11236","display_name":"Control Systems and Identification","score":0.9890000224113464,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9786999821662903,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6483428478240967},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.641480028629303},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.641477644443512},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5701717138290405},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5291728377342224},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.506344199180603},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44530221819877625},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4354771375656128},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3918524384498596},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2049228847026825},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2039412260055542},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.148148775100708},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.058348238468170166}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6483428478240967},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.641480028629303},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.641477644443512},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5701717138290405},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5291728377342224},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.506344199180603},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44530221819877625},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4354771375656128},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3918524384498596},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2049228847026825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2039412260055542},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.148148775100708},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.058348238468170166},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00332-002-0506-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-002-0506-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-002-0506-0.pdf","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"}],"best_oa_location":{"id":"doi:10.1007/s00332-002-0506-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-002-0506-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-002-0506-0.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332467","display_name":"U.S. Air Force","ror":"https://ror.org/006gmme17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2006370534.pdf","grobid_xml":"https://content.openalex.org/works/W2006370534.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1481919380","https://openalex.org/W1484739396","https://openalex.org/W1545848227","https://openalex.org/W1549251788","https://openalex.org/W1549386224","https://openalex.org/W1549690076","https://openalex.org/W1568281949","https://openalex.org/W1570949334","https://openalex.org/W1597228161","https://openalex.org/W1965324089","https://openalex.org/W1971327350","https://openalex.org/W1973181608","https://openalex.org/W1983117693","https://openalex.org/W1987734264","https://openalex.org/W1992848805","https://openalex.org/W1993404610","https://openalex.org/W2000402253","https://openalex.org/W2005815025","https://openalex.org/W2009770446","https://openalex.org/W2013722052","https://openalex.org/W2017147656","https://openalex.org/W2027328359","https://openalex.org/W2038419284","https://openalex.org/W2041355119","https://openalex.org/W2043583920","https://openalex.org/W2047088178","https://openalex.org/W2056716266","https://openalex.org/W2059316644","https://openalex.org/W2067478206","https://openalex.org/W2080803951","https://openalex.org/W2088558746","https://openalex.org/W2092726230","https://openalex.org/W2093399550","https://openalex.org/W2128537398","https://openalex.org/W2131820435","https://openalex.org/W2312457402","https://openalex.org/W2504846205","https://openalex.org/W2887527214","https://openalex.org/W2895207104","https://openalex.org/W4214769085","https://openalex.org/W4235840289","https://openalex.org/W4253175466","https://openalex.org/W4255030675","https://openalex.org/W6632829569","https://openalex.org/W6633055831","https://openalex.org/W6647206199","https://openalex.org/W6655688945","https://openalex.org/W6660033269","https://openalex.org/W6670630355","https://openalex.org/W6698448434","https://openalex.org/W6754132410","https://openalex.org/W6827211017"],"related_works":["https://openalex.org/W4255837520","https://openalex.org/W2387011115","https://openalex.org/W4234808182","https://openalex.org/W4255628145","https://openalex.org/W2382043075","https://openalex.org/W2809151339","https://openalex.org/W2216913934","https://openalex.org/W2360673138","https://openalex.org/W2809370583","https://openalex.org/W2394308601"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
