{"id":"https://openalex.org/W2035676895","doi":"https://doi.org/10.3166/ejc.13.529-542","title":"Attenuation of Oscillations in Galerkin Systems Using Center-Manifold Techniques*","display_name":"Attenuation of Oscillations in Galerkin Systems Using Center-Manifold Techniques*","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2035676895","doi":"https://doi.org/10.3166/ejc.13.529-542","mag":"2035676895"},"language":"en","primary_location":{"id":"doi:10.3166/ejc.13.529-542","is_oa":false,"landing_page_url":"https://doi.org/10.3166/ejc.13.529-542","pdf_url":null,"source":{"id":"https://openalex.org/S21401918","display_name":"European Journal of Control","issn_l":"0947-3580","issn":["0947-3580","1435-5671"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Control","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/A5112628504","display_name":"Co\u015fku Kasnako\u011f lu","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Co\u015fku Kasnako\u011f lu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, The Ohio State University, 2015 Neil Ave., Columbus, OH 43210, USA","Department of Electrical and Computer Engineering, the Ohio State University, 2015 Neil Ave., Columbus, OH 43210, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The Ohio State University, 2015 Neil Ave., Columbus, OH 43210, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, the Ohio State University, 2015 Neil Ave., Columbus, OH 43210, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027828418","display_name":"Andrea Serrani","orcid":"https://orcid.org/0000-0003-3281-7341"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andrea Serrani","raw_affiliation_strings":["Department of Electrical and Computer Engineering, The Ohio State University, 2015 Neil Ave., Columbus, OH 43210, USA","Department of Electrical and Computer Engineering, the Ohio State University, 2015 Neil Ave., Columbus, OH 43210, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The Ohio State University, 2015 Neil Ave., Columbus, OH 43210, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, the Ohio State University, 2015 Neil Ave., Columbus, OH 43210, USA","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027828418"],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":{"value":2850,"currency":"USD","value_usd":2850},"apc_paid":null,"fwci":2.4042,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.88656005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"5","first_page":"529","last_page":"542"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9972000122070312,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/center-manifold","display_name":"Center manifold","score":0.8485461473464966},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.691299557685852},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6024474501609802},{"id":"https://openalex.org/keywords/invariant-manifold","display_name":"Invariant manifold","score":0.5936393737792969},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.5913435220718384},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.587665319442749},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5820270776748657},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5640426874160767},{"id":"https://openalex.org/keywords/slow-manifold","display_name":"Slow manifold","score":0.497971773147583},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47774332761764526},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.43083781003952026},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4285238981246948},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.4283595085144043},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3370671272277832},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3303091526031494},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12886956334114075},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.1279626190662384},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.11811986565589905},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10837504267692566},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.09301292896270752},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07623085379600525}],"concepts":[{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.8485461473464966},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.691299557685852},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6024474501609802},{"id":"https://openalex.org/C20483540","wikidata":"https://www.wikidata.org/wiki/Q4200516","display_name":"Invariant manifold","level":2,"score":0.5936393737792969},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.5913435220718384},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.587665319442749},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5820270776748657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5640426874160767},{"id":"https://openalex.org/C2778671503","wikidata":"https://www.wikidata.org/wiki/Q7542110","display_name":"Slow manifold","level":3,"score":0.497971773147583},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47774332761764526},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.43083781003952026},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4285238981246948},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.4283595085144043},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3370671272277832},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3303091526031494},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12886956334114075},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.1279626190662384},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.11811986565589905},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10837504267692566},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.09301292896270752},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07623085379600525},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3166/ejc.13.529-542","is_oa":false,"landing_page_url":"https://doi.org/10.3166/ejc.13.529-542","pdf_url":null,"source":{"id":"https://openalex.org/S21401918","display_name":"European Journal of Control","issn_l":"0947-3580","issn":["0947-3580","1435-5671"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"European Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.800000011920929,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W5986469","https://openalex.org/W1531479937","https://openalex.org/W1561704653","https://openalex.org/W1579236455","https://openalex.org/W1588459899","https://openalex.org/W2002614462","https://openalex.org/W2003167519","https://openalex.org/W2008995486","https://openalex.org/W2017902093","https://openalex.org/W2035695789","https://openalex.org/W2036219060","https://openalex.org/W2038150727","https://openalex.org/W2038440736","https://openalex.org/W2084891866","https://openalex.org/W2089876099","https://openalex.org/W2095377493","https://openalex.org/W2096367301","https://openalex.org/W2119925384","https://openalex.org/W2127176072","https://openalex.org/W2132796867","https://openalex.org/W2140563796","https://openalex.org/W2159271996","https://openalex.org/W2165497955","https://openalex.org/W2166351406","https://openalex.org/W2293945336","https://openalex.org/W2330954544","https://openalex.org/W2527425348","https://openalex.org/W2739685101","https://openalex.org/W3150565301","https://openalex.org/W4213264637","https://openalex.org/W4249919931","https://openalex.org/W4310301864","https://openalex.org/W6600231883","https://openalex.org/W6631996214","https://openalex.org/W6635300286","https://openalex.org/W6671573819","https://openalex.org/W6674460467","https://openalex.org/W6701885241"],"related_works":["https://openalex.org/W4389620335","https://openalex.org/W2804831498","https://openalex.org/W1964162425","https://openalex.org/W2129195111","https://openalex.org/W4294618979","https://openalex.org/W3152370143","https://openalex.org/W2041496883","https://openalex.org/W2162574172","https://openalex.org/W4236903077","https://openalex.org/W1628663864"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}