{"id":"https://openalex.org/W4388593058","doi":"https://doi.org/10.1007/s00332-023-09994-y","title":"Phase-Amplitude Coordinate-Based Neural Networks for Inferring Oscillatory Dynamics","display_name":"Phase-Amplitude Coordinate-Based Neural Networks for Inferring Oscillatory Dynamics","publication_year":2023,"publication_date":"2023-11-11","ids":{"openalex":"https://openalex.org/W4388593058","doi":"https://doi.org/10.1007/s00332-023-09994-y"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-023-09994-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-023-09994-y","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"Journal of Nonlinear Science","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/A5009653065","display_name":"Talha Ahmed","orcid":"https://orcid.org/0000-0002-2616-8237"},"institutions":[{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Talha Ahmed","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN, 37996, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN, 37996, USA","institution_ids":["https://openalex.org/I75027704"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043942924","display_name":"Dan Wilson","orcid":"https://orcid.org/0000-0003-1363-147X"},"institutions":[{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dan Wilson","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN, 37996, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN, 37996, USA","institution_ids":["https://openalex.org/I75027704"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009653065"],"corresponding_institution_ids":["https://openalex.org/I75027704"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4651,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6111084,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"34","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9997000098228455,"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":0.9997000098228455,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9916999936103821,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.6223911643028259},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.596027672290802},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.5718441009521484},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.5307763814926147},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.5144810676574707},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5052898526191711},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4934912919998169},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.46779686212539673},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46490442752838135},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4323784112930298},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4236436188220978},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4223545789718628},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4133134186267853},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3898146450519562},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3390706777572632},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19524767994880676},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.192184180021286},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11989504098892212}],"concepts":[{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.6223911643028259},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.596027672290802},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.5718441009521484},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.5307763814926147},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.5144810676574707},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5052898526191711},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4934912919998169},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.46779686212539673},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46490442752838135},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4323784112930298},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4236436188220978},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4223545789718628},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4133134186267853},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3898146450519562},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3390706777572632},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19524767994880676},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.192184180021286},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11989504098892212},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00332-023-09994-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-023-09994-y","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"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":"Journal of Nonlinear Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4472568000","display_name":null,"funder_award_id":"CMMI-2140527","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1579236455","https://openalex.org/W1584873371","https://openalex.org/W2014356541","https://openalex.org/W2029754211","https://openalex.org/W2042873906","https://openalex.org/W2048487013","https://openalex.org/W2071248223","https://openalex.org/W2094529522","https://openalex.org/W2112823474","https://openalex.org/W2114876173","https://openalex.org/W2126999002","https://openalex.org/W2159271996","https://openalex.org/W2164954534","https://openalex.org/W2168090960","https://openalex.org/W2239232218","https://openalex.org/W2550753746","https://openalex.org/W2618683729","https://openalex.org/W2746980346","https://openalex.org/W2777417212","https://openalex.org/W2805290893","https://openalex.org/W2889667300","https://openalex.org/W2899283552","https://openalex.org/W2944807899","https://openalex.org/W2950593994","https://openalex.org/W2964258664","https://openalex.org/W2991844785","https://openalex.org/W3000352593","https://openalex.org/W3008586589","https://openalex.org/W3011434022","https://openalex.org/W3024747062","https://openalex.org/W3035247007","https://openalex.org/W3038118776","https://openalex.org/W3092216445","https://openalex.org/W3098172061","https://openalex.org/W3099211663","https://openalex.org/W3102913089","https://openalex.org/W3105646105","https://openalex.org/W3108772450","https://openalex.org/W3126229884","https://openalex.org/W3128465440","https://openalex.org/W3136945292","https://openalex.org/W3173159451","https://openalex.org/W3178054382","https://openalex.org/W3201818010","https://openalex.org/W4210720128","https://openalex.org/W4210968171","https://openalex.org/W4213006119","https://openalex.org/W4214617048","https://openalex.org/W4238160257","https://openalex.org/W4303628994","https://openalex.org/W4318815277","https://openalex.org/W4388297568","https://openalex.org/W6601795639"],"related_works":["https://openalex.org/W2051439117","https://openalex.org/W4388297534","https://openalex.org/W1673883441","https://openalex.org/W3195693990","https://openalex.org/W4298109871","https://openalex.org/W2313188567","https://openalex.org/W4248124207","https://openalex.org/W2996059826","https://openalex.org/W2083477739","https://openalex.org/W2087320822"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}