{"id":"https://openalex.org/W4297268548","doi":"https://doi.org/10.3390/a15100351","title":"Evolutionary Approaches to the Identification of Dynamic Processes in the Form of Differential Equations and Their Systems","display_name":"Evolutionary Approaches to the Identification of Dynamic Processes in the Form of Differential Equations and Their Systems","publication_year":2022,"publication_date":"2022-09-27","ids":{"openalex":"https://openalex.org/W4297268548","doi":"https://doi.org/10.3390/a15100351"},"language":"en","primary_location":{"id":"doi:10.3390/a15100351","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a15100351","pdf_url":"https://www.mdpi.com/1999-4893/15/10/351/pdf?version=1665842251","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/15/10/351/pdf?version=1665842251","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053635285","display_name":"Tatiana Karaseva","orcid":"https://orcid.org/0000-0002-6880-7092"},"institutions":[{"id":"https://openalex.org/I4853710","display_name":"Siberian Federal University","ror":"https://ror.org/05fw97k56","country_code":"RU","type":"education","lineage":["https://openalex.org/I4853710"]},{"id":"https://openalex.org/I56490300","display_name":"Siberian State Aerospace University","ror":"https://ror.org/05r50mj29","country_code":"RU","type":"education","lineage":["https://openalex.org/I56490300"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Tatiana Karaseva","raw_affiliation_strings":["Department of Business Informatics and Business Process Modeling, Siberian Federal University, 660041 Krasnoyarsk, Russia","Department of System Analysis and Operations Research, Reshetnev Siberian State University of Science and Technology, 660037 Krasnoyarsk, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Business Informatics and Business Process Modeling, Siberian Federal University, 660041 Krasnoyarsk, Russia","institution_ids":["https://openalex.org/I4853710"]},{"raw_affiliation_string":"Department of System Analysis and Operations Research, Reshetnev Siberian State University of Science and Technology, 660037 Krasnoyarsk, Russia","institution_ids":["https://openalex.org/I56490300"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035349875","display_name":"Eugene Semenkin","orcid":"https://orcid.org/0000-0002-3776-5707"},"institutions":[{"id":"https://openalex.org/I4853710","display_name":"Siberian Federal University","ror":"https://ror.org/05fw97k56","country_code":"RU","type":"education","lineage":["https://openalex.org/I4853710"]},{"id":"https://openalex.org/I56490300","display_name":"Siberian State Aerospace University","ror":"https://ror.org/05r50mj29","country_code":"RU","type":"education","lineage":["https://openalex.org/I56490300"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Eugene Semenkin","raw_affiliation_strings":["Department of Business Informatics and Business Process Modeling, Siberian Federal University, 660041 Krasnoyarsk, Russia","Department of System Analysis and Operations Research, Reshetnev Siberian State University of Science and Technology, 660037 Krasnoyarsk, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Business Informatics and Business Process Modeling, Siberian Federal University, 660041 Krasnoyarsk, Russia","institution_ids":["https://openalex.org/I4853710"]},{"raw_affiliation_string":"Department of System Analysis and Operations Research, Reshetnev Siberian State University of Science and Technology, 660037 Krasnoyarsk, Russia","institution_ids":["https://openalex.org/I56490300"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053635285"],"corresponding_institution_ids":["https://openalex.org/I4853710","https://openalex.org/I56490300"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.2651,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61482458,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"15","issue":"10","first_page":"351","last_page":"351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9977999925613403,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9977999925613403,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9945999979972839,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9628000259399414,"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/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.7211235761642456},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5904794335365295},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5490853190422058},{"id":"https://openalex.org/keywords/genetic-programming","display_name":"Genetic programming","score":0.49349701404571533},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48915985226631165},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.48636725544929504},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4793734848499298},{"id":"https://openalex.org/keywords/separable-partial-differential-equation","display_name":"Separable partial differential equation","score":0.4699659049510956},{"id":"https://openalex.org/keywords/exact-differential-equation","display_name":"Exact differential equation","score":0.43320202827453613},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.4269216060638428},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.4225960969924927},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3508865237236023},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23133820295333862},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09636375308036804}],"concepts":[{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.7211235761642456},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5904794335365295},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5490853190422058},{"id":"https://openalex.org/C110332635","wikidata":"https://www.wikidata.org/wiki/Q629498","display_name":"Genetic programming","level":2,"score":0.49349701404571533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48915985226631165},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.48636725544929504},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4793734848499298},{"id":"https://openalex.org/C101487385","wikidata":"https://www.wikidata.org/wiki/Q7451766","display_name":"Separable partial differential equation","level":5,"score":0.4699659049510956},{"id":"https://openalex.org/C185184677","wikidata":"https://www.wikidata.org/wiki/Q1366795","display_name":"Exact differential equation","level":4,"score":0.43320202827453613},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.4269216060638428},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.4225960969924927},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3508865237236023},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23133820295333862},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09636375308036804},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a15100351","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a15100351","pdf_url":"https://www.mdpi.com/1999-4893/15/10/351/pdf?version=1665842251","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:14713518e7934746b9cbbcceb3b7face","is_oa":true,"landing_page_url":"https://doaj.org/article/14713518e7934746b9cbbcceb3b7face","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 15, Iss 10, p 351 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/15/10/351/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a15100351","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms; Volume 15; Issue 10; Pages: 351","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a15100351","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a15100351","pdf_url":"https://www.mdpi.com/1999-4893/15/10/351/pdf?version=1665842251","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4297268548.pdf","grobid_xml":"https://content.openalex.org/works/W4297268548.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1496218682","https://openalex.org/W1565012712","https://openalex.org/W1595159159","https://openalex.org/W1762962641","https://openalex.org/W1983200154","https://openalex.org/W2036259226","https://openalex.org/W2104727184","https://openalex.org/W2146168695","https://openalex.org/W2229080936","https://openalex.org/W2310612427","https://openalex.org/W2323933758","https://openalex.org/W2625868734","https://openalex.org/W2896179998","https://openalex.org/W2973549057","https://openalex.org/W2977325431","https://openalex.org/W3003934275","https://openalex.org/W3021029423","https://openalex.org/W3083068422","https://openalex.org/W3098925856","https://openalex.org/W3130599110","https://openalex.org/W3132403393","https://openalex.org/W3156437533","https://openalex.org/W3203498960","https://openalex.org/W4248840154","https://openalex.org/W4281782255","https://openalex.org/W6629654686","https://openalex.org/W6700612234","https://openalex.org/W6739775333"],"related_works":["https://openalex.org/W2043753575","https://openalex.org/W2950987283","https://openalex.org/W4297909851","https://openalex.org/W2088064134","https://openalex.org/W2924035449","https://openalex.org/W2229057342","https://openalex.org/W4253645589","https://openalex.org/W1193285027","https://openalex.org/W2391157135","https://openalex.org/W2332263717"],"abstract_inverted_index":{"Evolutionary":[0],"approaches":[1,20,68,100,149],"are":[2],"widely":[3],"applied":[4],"in":[5,33,54,94,103,120,156],"solving":[6],"various":[7],"types":[8],"of":[9,16,24,36,46,57,66,79,90,106,117,135,141],"problems.":[10],"The":[11,63,115,138,147],"paper":[12],"considers":[13],"the":[14,22,34,44,47,55,77,88,95,104,121,124,128,136,142],"application":[15],"EvolODE":[17,27],"and":[18,83,110,123,166],"EvolODES":[19,49],"to":[21,29,86,153],"identification":[23],"dynamic":[25],"systems.":[26],"helps":[28],"obtain":[30,154],"a":[31,52,70],"model":[32,53,129],"form":[35,56,105],"an":[37,58],"ordinary":[38,59,80,107],"differential":[39,60,81,84,108],"equation":[40,61],"without":[41],"restrictions":[42],"on":[43,101,127],"type":[45],"equation.":[48,96],"searches":[50],"for":[51,75,98,133,163],"system.":[62],"algorithmic":[64],"basis":[65],"these":[67,99],"is":[69],"modified":[71],"genetic":[72],"programming":[73],"algorithm":[74],"finding":[76],"structure":[78],"equations":[82,109,144],"evolution":[85],"optimize":[87],"values":[89],"numerical":[91],"constants":[92],"used":[93],"Testing":[97],"problems":[102],"their":[111],"systems":[112],"was":[113,131,145],"conducted.":[114],"influence":[116],"noise":[118],"present":[119],"data":[122],"sample":[125],"size":[126],"error":[130],"considered":[132],"each":[134],"approaches.":[137],"symbolic":[139,157],"accuracy":[140],"resulting":[143],"studied.":[146],"proposed":[148],"make":[150],"it":[151],"possible":[152],"models":[155],"form.":[158],"They":[159],"will":[160],"provide":[161],"opportunities":[162],"further":[164],"interpretation":[165],"application.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-23T23:11:35.936235","created_date":"2025-10-10T00:00:00"}
