{"id":"https://openalex.org/W419087269","doi":"https://doi.org/10.1007/bf02241219","title":"Automatic determination of dynamical symmetries of ordinary differential equations","display_name":"Automatic determination of dynamical symmetries of ordinary differential equations","publication_year":1989,"publication_date":"1989-12-01","ids":{"openalex":"https://openalex.org/W419087269","doi":"https://doi.org/10.1007/bf02241219","mag":"419087269"},"language":"en","primary_location":{"id":"doi:10.1007/bf02241219","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02241219","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5110827646","display_name":"H.-J. Pohle","orcid":null},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"H. J. Pohle","raw_affiliation_strings":["Sektion Physik, Karl-Marx-Universit\u00e4t Leipzig, Karl-Marx-Platz 1, 7010, Leipzig, German Democratic Republic","Karl-Marx Univ. Leipzig, Leipzig, E. Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Sektion Physik, Karl-Marx-Universit\u00e4t Leipzig, Karl-Marx-Platz 1, 7010, Leipzig, German Democratic Republic","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Karl-Marx Univ. Leipzig, Leipzig, E. Germany#TAB#","institution_ids":["https://openalex.org/I926574661"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070109385","display_name":"Thomas Wolf","orcid":"https://orcid.org/0000-0003-4136-8859"},"institutions":[{"id":"https://openalex.org/I193291145","display_name":"Schiller International University","ror":"https://ror.org/003tmp461","country_code":"FR","type":"education","lineage":["https://openalex.org/I193291145"]},{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"T. Wolf","raw_affiliation_strings":["Rechenzentrum der Friedrich-Schiller-Universit\u00e4t Jena, Humboldtstrasse 2, 6900, Jena, German Democratic Republic","Friedrich-Schiller-Univ. Jena, Jena, E. Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Rechenzentrum der Friedrich-Schiller-Universit\u00e4t Jena, Humboldtstrasse 2, 6900, Jena, German Democratic Republic","institution_ids":["https://openalex.org/I76198965","https://openalex.org/I193291145"]},{"raw_affiliation_string":"Friedrich-Schiller-Univ. Jena, Jena, E. Germany#TAB#","institution_ids":["https://openalex.org/I76198965"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110827646"],"corresponding_institution_ids":["https://openalex.org/I926574661"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.01758063,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"4","first_page":"297","last_page":"306"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9781000018119812,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9657999873161316,"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/overdetermined-system","display_name":"Overdetermined system","score":0.9350148439407349},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.7461987733840942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6408029198646545},{"id":"https://openalex.org/keywords/integrating-factor","display_name":"Integrating factor","score":0.6399819850921631},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6366198658943176},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.6090703010559082},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5628913640975952},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.5236266255378723},{"id":"https://openalex.org/keywords/exact-differential-equation","display_name":"Exact differential equation","score":0.49914050102233887},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4630252420902252},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.45854452252388},{"id":"https://openalex.org/keywords/separable-partial-differential-equation","display_name":"Separable partial differential equation","score":0.45216336846351624},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42930927872657776},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.4206240177154541},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38191133737564087},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12377947568893433},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08534035086631775}],"concepts":[{"id":"https://openalex.org/C81901731","wikidata":"https://www.wikidata.org/wiki/Q331348","display_name":"Overdetermined system","level":2,"score":0.9350148439407349},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.7461987733840942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6408029198646545},{"id":"https://openalex.org/C163105828","wikidata":"https://www.wikidata.org/wiki/Q2734005","display_name":"Integrating factor","level":5,"score":0.6399819850921631},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6366198658943176},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.6090703010559082},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5628913640975952},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.5236266255378723},{"id":"https://openalex.org/C185184677","wikidata":"https://www.wikidata.org/wiki/Q1366795","display_name":"Exact differential equation","level":4,"score":0.49914050102233887},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4630252420902252},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.45854452252388},{"id":"https://openalex.org/C101487385","wikidata":"https://www.wikidata.org/wiki/Q7451766","display_name":"Separable partial differential equation","level":5,"score":0.45216336846351624},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42930927872657776},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.4206240177154541},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38191133737564087},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12377947568893433},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08534035086631775},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02241219","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02241219","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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":9,"referenced_works":["https://openalex.org/W1553893196","https://openalex.org/W1973253358","https://openalex.org/W2006664683","https://openalex.org/W2024186631","https://openalex.org/W2050811035","https://openalex.org/W2079802323","https://openalex.org/W2087313526","https://openalex.org/W2478030348","https://openalex.org/W4254127517"],"related_works":["https://openalex.org/W2102363795","https://openalex.org/W4320000798","https://openalex.org/W2165156998","https://openalex.org/W4292934066","https://openalex.org/W3021931947","https://openalex.org/W1590822228","https://openalex.org/W3023756577","https://openalex.org/W1193285027","https://openalex.org/W2332263717","https://openalex.org/W2963113776"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}