{"id":"https://openalex.org/W1900342038","doi":"https://doi.org/10.1007/3-540-44868-3_19","title":"SO(2)-Networks as Neural Oscillators","display_name":"SO(2)-Networks as Neural Oscillators","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1900342038","doi":"https://doi.org/10.1007/3-540-44868-3_19","mag":"1900342038"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-44868-3_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44868-3_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer 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/A5008203037","display_name":"Frank Pasemann","orcid":null},"institutions":[{"id":"https://openalex.org/I4210144576","display_name":"Fraunhofer Institute for Intelligent Analysis and Information Systems","ror":"https://ror.org/04nc32781","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210144576","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Frank Pasemann","raw_affiliation_strings":["Fraunhofer Institute for Autonomous Intelligent Systems (AiS), Schloss Birlinghoven, D-53754, Sankt Augustin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Institute for Autonomous Intelligent Systems (AiS), Schloss Birlinghoven, D-53754, Sankt Augustin, Germany","institution_ids":["https://openalex.org/I4210144576"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034683443","display_name":"Manfred Hild","orcid":null},"institutions":[{"id":"https://openalex.org/I4210144576","display_name":"Fraunhofer Institute for Intelligent Analysis and Information Systems","ror":"https://ror.org/04nc32781","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210144576","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Manfred Hild","raw_affiliation_strings":["Fraunhofer Institute for Autonomous Intelligent Systems (AiS), Schloss Birlinghoven, D-53754, Sankt Augustin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Institute for Autonomous Intelligent Systems (AiS), Schloss Birlinghoven, D-53754, Sankt Augustin, Germany","institution_ids":["https://openalex.org/I4210144576"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058348013","display_name":"Keyan Ghazi-Zahedi","orcid":"https://orcid.org/0000-0003-0409-6284"},"institutions":[{"id":"https://openalex.org/I4210144576","display_name":"Fraunhofer Institute for Intelligent Analysis and Information Systems","ror":"https://ror.org/04nc32781","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210144576","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Keyan Zahedi","raw_affiliation_strings":["Fraunhofer Institute for Autonomous Intelligent Systems (AiS), Schloss Birlinghoven, D-53754, Sankt Augustin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Institute for Autonomous Intelligent Systems (AiS), Schloss Birlinghoven, D-53754, Sankt Augustin, Germany","institution_ids":["https://openalex.org/I4210144576"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008203037"],"corresponding_institution_ids":["https://openalex.org/I4210144576"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.208,"has_fulltext":false,"cited_by_count":91,"citation_normalized_percentile":{"value":0.88518426,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"144","last_page":"151"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9957000017166138,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9957000017166138,"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"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9894000291824341,"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":0.9886000156402588,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/waveform","display_name":"Waveform","score":0.686127781867981},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6490313410758972},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.647566020488739},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6435340642929077},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6178508996963501},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5819976329803467},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5018389225006104},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46144571900367737},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.444853276014328},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.43346312642097473},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25847312808036804},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24441108107566833},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20843639969825745},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2036793828010559},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16566535830497742},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15746593475341797},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12598615884780884},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10312563180923462}],"concepts":[{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.686127781867981},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6490313410758972},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.647566020488739},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6435340642929077},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6178508996963501},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5819976329803467},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5018389225006104},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46144571900367737},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.444853276014328},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.43346312642097473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25847312808036804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24441108107566833},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20843639969825745},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2036793828010559},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16566535830497742},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15746593475341797},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12598615884780884},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10312563180923462},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/3-540-44868-3_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-44868-3_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.452.920","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.452.920","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://neurorobotics.eu/downloads/publications/2003 Pasemann - SO(2)-Networks as Neural Oscillators.pdf","raw_type":"text"},{"id":"pmh:oai:fraunhofer.de:2004960867","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/2004960867.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer AIS","raw_type":"Conference Paper"},{"id":"pmh:oai:publica.fraunhofer.de:publica/343936","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/343936","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1494916908","https://openalex.org/W1512947503","https://openalex.org/W1531574279","https://openalex.org/W1542782021","https://openalex.org/W1598952354","https://openalex.org/W1763714088","https://openalex.org/W1823257673","https://openalex.org/W1977197990","https://openalex.org/W2016354087","https://openalex.org/W2027674062","https://openalex.org/W2050865596","https://openalex.org/W2115860679","https://openalex.org/W2131526309","https://openalex.org/W2140681816","https://openalex.org/W2280764775","https://openalex.org/W2483550645","https://openalex.org/W2574175061","https://openalex.org/W4249526317"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2006251942","https://openalex.org/W3049714198","https://openalex.org/W2960434112","https://openalex.org/W2364741597","https://openalex.org/W2036805113","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W2592279130","https://openalex.org/W1974895211"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}