{"id":"https://openalex.org/W4245759422","doi":"https://doi.org/10.1007/978-0-387-30440-3_62","title":"Center Manifolds","display_name":"Center Manifolds","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W4245759422","doi":"https://doi.org/10.1007/978-0-387-30440-3_62"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-30440-3_62","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_62","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5111756199","display_name":"George Osipenko","orcid":null},"institutions":[{"id":"https://openalex.org/I212220629","display_name":"Peter the Great St. Petersburg Polytechnic University","ror":"https://ror.org/02x91aj62","country_code":"RU","type":"education","lineage":["https://openalex.org/I212220629"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"George Osipenko","raw_affiliation_strings":["State Polytechnic University, St.\u00a0Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"State Polytechnic University, St.\u00a0Petersburg, Russia","institution_ids":["https://openalex.org/I212220629"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111756199"],"corresponding_institution_ids":["https://openalex.org/I212220629"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.54498315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"936","last_page":"951"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9916999936103821,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9650999903678894,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.3822076618671417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35801127552986145},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33491992950439453}],"concepts":[{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.3822076618671417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35801127552986145},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33491992950439453}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-30440-3_62","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_62","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W579709999","https://openalex.org/W632343531","https://openalex.org/W1506133525","https://openalex.org/W1562360371","https://openalex.org/W1565627164","https://openalex.org/W1579475312","https://openalex.org/W1602288242","https://openalex.org/W1606157354","https://openalex.org/W1966200641","https://openalex.org/W1966904342","https://openalex.org/W1967724753","https://openalex.org/W1968072005","https://openalex.org/W1970778891","https://openalex.org/W1972097358","https://openalex.org/W1973189438","https://openalex.org/W1977106683","https://openalex.org/W1981287404","https://openalex.org/W1983416177","https://openalex.org/W1983797254","https://openalex.org/W1986793587","https://openalex.org/W1987164871","https://openalex.org/W1988347211","https://openalex.org/W1988891916","https://openalex.org/W1996529664","https://openalex.org/W1998053350","https://openalex.org/W1998959640","https://openalex.org/W2000974272","https://openalex.org/W2023941568","https://openalex.org/W2027447627","https://openalex.org/W2034620513","https://openalex.org/W2035963399","https://openalex.org/W2045401785","https://openalex.org/W2046955379","https://openalex.org/W2054079954","https://openalex.org/W2054333103","https://openalex.org/W2057743846","https://openalex.org/W2058962910","https://openalex.org/W2059625173","https://openalex.org/W2064692957","https://openalex.org/W2069030560","https://openalex.org/W2077286646","https://openalex.org/W2079613409","https://openalex.org/W2083115202","https://openalex.org/W2087792373","https://openalex.org/W2088575656","https://openalex.org/W2090300847","https://openalex.org/W2101222417","https://openalex.org/W2131763477","https://openalex.org/W2134996852","https://openalex.org/W2175370996","https://openalex.org/W2182274314","https://openalex.org/W2312521414","https://openalex.org/W2319479038","https://openalex.org/W2333891930","https://openalex.org/W2461150107","https://openalex.org/W3140194025","https://openalex.org/W4213385762","https://openalex.org/W4240634088","https://openalex.org/W4242005639","https://openalex.org/W4247332364","https://openalex.org/W4249237846","https://openalex.org/W4255200020","https://openalex.org/W4292366025","https://openalex.org/W4292908474","https://openalex.org/W4320522609","https://openalex.org/W4403704529"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-05-12T00:00:00"}
