{"id":"https://openalex.org/W2981998189","doi":"https://doi.org/10.1007/978-3-030-81561-5_39","title":"Why a Classification Based on Linear Approximation to Dynamical Systems Often Works Well in Nonlinear Cases","display_name":"Why a Classification Based on Linear Approximation to Dynamical Systems Often Works Well in Nonlinear Cases","publication_year":2021,"publication_date":"2021-12-08","ids":{"openalex":"https://openalex.org/W2981998189","doi":"https://doi.org/10.1007/978-3-030-81561-5_39","mag":"2981998189"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-81561-5_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-81561-5_39","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalcommons.utep.edu/cgi/viewcontent.cgi?article=2380&context=cs_techrep","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046823665","display_name":"Julio C. Urenda","orcid":"https://orcid.org/0000-0002-3220-824X"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julio C. Urenda","raw_affiliation_strings":["Departments of Mathematics and Computer Science, University of Texas at El Paso, El Paso, TX, 79968, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departments of Mathematics and Computer Science, University of Texas at El Paso, El Paso, TX, 79968, USA","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061275811","display_name":"\u0412\u043b\u0430\u0434\u0438\u043a \u041a\u0440\u0435\u0439\u043d\u043e\u0432\u0438\u0447","orcid":"https://orcid.org/0000-0002-1244-1650"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vladik Kreinovich","raw_affiliation_strings":["Departments of Mathematics and Computer Science, University of Texas at El Paso, El Paso, TX, 79968, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departments of Mathematics and Computer Science, University of Texas at El Paso, El Paso, TX, 79968, USA","institution_ids":["https://openalex.org/I164936912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5061275811"],"corresponding_institution_ids":["https://openalex.org/I164936912"],"apc_list":null,"apc_paid":null,"fwci":1.0234,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.73172691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"433","last_page":"437"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.8806999921798706,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.8806999921798706,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.8012999892234802,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.7591000199317932,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7634934186935425},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.762773871421814},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.7138948440551758},{"id":"https://openalex.org/keywords/linear-dynamical-system","display_name":"Linear dynamical system","score":0.5536143779754639},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5115441083908081},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42202654480934143},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35710981488227844},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29662221670150757},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05700680613517761}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7634934186935425},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.762773871421814},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.7138948440551758},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.5536143779754639},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5115441083908081},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42202654480934143},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35710981488227844},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29662221670150757},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05700680613517761}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-030-81561-5_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-81561-5_39","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"},{"id":"pmh:oai:digitalcommons.utep.edu:cs_techrep-2380","is_oa":true,"landing_page_url":"https://digitalcommons.utep.edu/cs_techrep/1377","pdf_url":"https://digitalcommons.utep.edu/cgi/viewcontent.cgi?article=2380&context=cs_techrep","source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"},{"id":"pmh:oai:scholarworks.utep.edu:cs_techrep-2380","is_oa":false,"landing_page_url":"https://scholarworks.utep.edu/cs_techrep/1377","pdf_url":null,"source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:digitalcommons.utep.edu:cs_techrep-2380","is_oa":true,"landing_page_url":"https://digitalcommons.utep.edu/cs_techrep/1377","pdf_url":"https://digitalcommons.utep.edu/cgi/viewcontent.cgi?article=2380&context=cs_techrep","source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2981998189.pdf","grobid_xml":"https://content.openalex.org/works/W2981998189.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W1481101934","https://openalex.org/W1558736232"],"related_works":["https://openalex.org/W1541871911","https://openalex.org/W3212383242","https://openalex.org/W2592826714","https://openalex.org/W1967511663","https://openalex.org/W2184005427","https://openalex.org/W2981998189","https://openalex.org/W2118381768","https://openalex.org/W4390075452","https://openalex.org/W1822519896","https://openalex.org/W1591067685"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}