{"id":"https://openalex.org/W2136719407","doi":"https://doi.org/10.1162/neco_a_00393","title":"Dynamical Movement Primitives: Learning Attractor Models for Motor Behaviors","display_name":"Dynamical Movement Primitives: Learning Attractor Models for Motor Behaviors","publication_year":2012,"publication_date":"2012-11-13","ids":{"openalex":"https://openalex.org/W2136719407","doi":"https://doi.org/10.1162/neco_a_00393","mag":"2136719407","pmid":"https://pubmed.ncbi.nlm.nih.gov/23148415"},"language":"en","primary_location":{"id":"doi:10.1162/neco_a_00393","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco_a_00393","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.pure.ed.ac.uk/ws/files/7874487/NECO_a_00393.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069603317","display_name":"Auke Jan Ijspeert","orcid":"https://orcid.org/0000-0003-1417-9980"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Auke Jan Ijspeert","raw_affiliation_strings":["Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne CH-1015, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne CH-1015, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103273860","display_name":"Jun Nakanishi","orcid":"https://orcid.org/0000-0001-9026-6440"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Jun Nakanishi","raw_affiliation_strings":["School of Informatics, University of Edinburgh, Edinburgh EH8 9AB, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Informatics, University of Edinburgh, Edinburgh EH8 9AB, U.K","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103394599","display_name":"H. Hoffmann","orcid":"https://orcid.org/0000-0003-3817-5626"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Heiko Hoffmann","raw_affiliation_strings":["Computer Science, Neuroscience, and Biomedical Engineering, University of Southern California, Los Angeles, CA 90089, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Neuroscience, and Biomedical Engineering, University of Southern California, Los Angeles, CA 90089, U.S.A","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103760848","display_name":"Peter P\u00e1stor","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Peter Pastor","raw_affiliation_strings":["Computer Science, Neuroscience, and Biomedical Engineering, University of Southern California, Los Angeles, CA 90089, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Neuroscience, and Biomedical Engineering, University of Southern California, Los Angeles, CA 90089, U.S.A","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107392143","display_name":"Stefan Schaal","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I4210104143","display_name":"Advanced Telecommunications Research Institute International","ror":"https://ror.org/01pe1d703","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210104143"]},{"id":"https://openalex.org/I4210135521","display_name":"Max Planck Institute for Intelligent Systems","ror":"https://ror.org/04fq9j139","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210135521"]}],"countries":["DE","JP","US"],"is_corresponding":true,"raw_author_name":"Stefan Schaal","raw_affiliation_strings":["Computer Science, Neuroscience, and Biomedical Engineering, University of Southern California, Los Angeles, CA 90089, U.S.A.; Max-Planck-Institute for Intelligent Systems, T\u00fcbingen 72076, Germany; and ATR Computational Neuroscience Laboratories, Kyoto 619-0288, Japan","ATR Computational Neuroscience Laboratories, Kyoto 619-0288, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science, Neuroscience, and Biomedical Engineering, University of Southern California, Los Angeles, CA 90089, U.S.A.; Max-Planck-Institute for Intelligent Systems, T\u00fcbingen 72076, Germany; and ATR Computational Neuroscience Laboratories, Kyoto 619-0288, Japan","institution_ids":["https://openalex.org/I4210135521","https://openalex.org/I1174212"]},{"raw_affiliation_string":"ATR Computational Neuroscience Laboratories, Kyoto 619-0288, Japan","institution_ids":["https://openalex.org/I4210104143"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5069603317","https://openalex.org/A5103273860","https://openalex.org/A5103394599","https://openalex.org/A5103760848","https://openalex.org/A5107392143"],"corresponding_institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210104143","https://openalex.org/I4210135521","https://openalex.org/I5124864","https://openalex.org/I98677209"],"apc_list":null,"apc_paid":null,"fwci":38.5652,"has_fulltext":true,"cited_by_count":1579,"citation_normalized_percentile":{"value":0.99938166,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"25","issue":"2","first_page":"328","last_page":"373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.989300012588501,"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":0.989300012588501,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9883999824523926,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.98580002784729,"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/attractor","display_name":"Attractor","score":0.8046728372573853},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.7602697014808655},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6315101981163025},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5236696600914001},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5160255432128906},{"id":"https://openalex.org/keywords/robotics","display_name":"Robotics","score":0.5037772059440613},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.47009822726249695},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.4570595622062683},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4303194284439087},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3042060136795044},{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.22983843088150024},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14333575963974},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13652312755584717}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8046728372573853},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.7602697014808655},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6315101981163025},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5236696600914001},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5160255432128906},{"id":"https://openalex.org/C34413123","wikidata":"https://www.wikidata.org/wiki/Q170978","display_name":"Robotics","level":3,"score":0.5037772059440613},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.47009822726249695},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4570595622062683},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4303194284439087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3042060136795044},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.22983843088150024},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14333575963974},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13652312755584717},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009068","descriptor_name":"Movement","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009068","descriptor_name":"Movement","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009068","descriptor_name":"Movement","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012371","descriptor_name":"Robotics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012371","descriptor_name":"Robotics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012371","descriptor_name":"Robotics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":6,"locations":[{"id":"doi:10.1162/neco_a_00393","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco_a_00393","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:23148415","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/23148415","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural computation","raw_type":null},{"id":"pmh:oai:pure.ed.ac.uk:publications/3a347438-6b51-4f11-ba7a-5465173736f8","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/3a347438-6b51-4f11-ba7a-5465173736f8","pdf_url":"https://www.pure.ed.ac.uk/ws/files/7874487/NECO_a_00393.pdf","source":{"id":"https://openalex.org/S4306400321","display_name":"Edinburgh Research Explorer (University of Edinburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98677209","host_organization_name":"University of Edinburgh","host_organization_lineage":["https://openalex.org/I98677209"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.365.6845","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.365.6845","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:escidoc.org:escidoc:1900026","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0015-1662-D","pdf_url":null,"source":{"id":"https://openalex.org/S7407052962","display_name":"Max Planck Digital Library","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:infoscience.epfl.ch:185437","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/185437","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pure.ed.ac.uk:publications/3a347438-6b51-4f11-ba7a-5465173736f8","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/3a347438-6b51-4f11-ba7a-5465173736f8","pdf_url":"https://www.pure.ed.ac.uk/ws/files/7874487/NECO_a_00393.pdf","source":{"id":"https://openalex.org/S4306400321","display_name":"Edinburgh Research Explorer (University of Edinburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98677209","host_organization_name":"University of Edinburgh","host_organization_lineage":["https://openalex.org/I98677209"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3931327750","display_name":null,"funder_award_id":"ICT-248311","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5461210421","display_name":"Adaptive Modular Architecture for Rich Motor Skills","funder_award_id":"248311","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5483342299","display_name":null,"funder_award_id":"FP7-ICT","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320338370","display_name":"FP7 Information and Communication Technologies","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2136719407.pdf","grobid_xml":"https://content.openalex.org/works/W2136719407.grobid-xml"},"referenced_works_count":142,"referenced_works":["https://openalex.org/W76237600","https://openalex.org/W325306869","https://openalex.org/W600389904","https://openalex.org/W1005295143","https://openalex.org/W1276163824","https://openalex.org/W1487127700","https://openalex.org/W1488708381","https://openalex.org/W1506806321","https://openalex.org/W1509579450","https://openalex.org/W1514910877","https://openalex.org/W1516801383","https://openalex.org/W1551864151","https://openalex.org/W1663973292","https://openalex.org/W1684361744","https://openalex.org/W1698657956","https://openalex.org/W1724705168","https://openalex.org/W1818678634","https://openalex.org/W1876456565","https://openalex.org/W1885639605","https://openalex.org/W1899790843","https://openalex.org/W1925816294","https://openalex.org/W1965386059","https://openalex.org/W1965549765","https://openalex.org/W1975318316","https://openalex.org/W1978579256","https://openalex.org/W1983706851","https://openalex.org/W1987052642","https://openalex.org/W1992530134","https://openalex.org/W1993188338","https://openalex.org/W1993897290","https://openalex.org/W1995086487","https://openalex.org/W1998054745","https://openalex.org/W2003155905","https://openalex.org/W2004382882","https://openalex.org/W2004406110","https://openalex.org/W2010953845","https://openalex.org/W2015884067","https://openalex.org/W2022638737","https://openalex.org/W2028867938","https://openalex.org/W2029517350","https://openalex.org/W2029705953","https://openalex.org/W2029776687","https://openalex.org/W2030363462","https://openalex.org/W2032010830","https://openalex.org/W2033226680","https://openalex.org/W2033546134","https://openalex.org/W2036956268","https://openalex.org/W2038648922","https://openalex.org/W2041051914","https://openalex.org/W2043256568","https://openalex.org/W2048168680","https://openalex.org/W2051331168","https://openalex.org/W2051453180","https://openalex.org/W2051494250","https://openalex.org/W2053324916","https://openalex.org/W2053947907","https://openalex.org/W2056147588","https://openalex.org/W2056361775","https://openalex.org/W2057545999","https://openalex.org/W2059966456","https://openalex.org/W2064257383","https://openalex.org/W2078763164","https://openalex.org/W2083552623","https://openalex.org/W2083990312","https://openalex.org/W2085444192","https://openalex.org/W2087780909","https://openalex.org/W2089876099","https://openalex.org/W2091399243","https://openalex.org/W2091742402","https://openalex.org/W2092535029","https://openalex.org/W2096664238","https://openalex.org/W2099171748","https://openalex.org/W2101260583","https://openalex.org/W2103120971","https://openalex.org/W2103179919","https://openalex.org/W2104797671","https://openalex.org/W2105070643","https://openalex.org/W2107489452","https://openalex.org/W2108540779","https://openalex.org/W2110144538","https://openalex.org/W2110304639","https://openalex.org/W2112707027","https://openalex.org/W2113698995","https://openalex.org/W2113830385","https://openalex.org/W2114892500","https://openalex.org/W2115510499","https://openalex.org/W2115817551","https://openalex.org/W2116226448","https://openalex.org/W2117011443","https://openalex.org/W2118706537","https://openalex.org/W2125612430","https://openalex.org/W2125973284","https://openalex.org/W2126097529","https://openalex.org/W2127515439","https://openalex.org/W2128160875","https://openalex.org/W2128458185","https://openalex.org/W2128483493","https://openalex.org/W2130726249","https://openalex.org/W2132714442","https://openalex.org/W2134889984","https://openalex.org/W2135226410","https://openalex.org/W2136951124","https://openalex.org/W2137782470","https://openalex.org/W2137959099","https://openalex.org/W2141037210","https://openalex.org/W2144908914","https://openalex.org/W2146670093","https://openalex.org/W2149407058","https://openalex.org/W2150071197","https://openalex.org/W2151464769","https://openalex.org/W2151495024","https://openalex.org/W2151924253","https://openalex.org/W2155307968","https://openalex.org/W2156174987","https://openalex.org/W2160625746","https://openalex.org/W2161395589","https://openalex.org/W2161872510","https://openalex.org/W2164094201","https://openalex.org/W2166302491","https://openalex.org/W2167783371","https://openalex.org/W2167804690","https://openalex.org/W2180293407","https://openalex.org/W2185439502","https://openalex.org/W2289751837","https://openalex.org/W2316793170","https://openalex.org/W2321025784","https://openalex.org/W2323447981","https://openalex.org/W2346626577","https://openalex.org/W2481263544","https://openalex.org/W2540649348","https://openalex.org/W2585198072","https://openalex.org/W2605543710","https://openalex.org/W2799049213","https://openalex.org/W2999905431","https://openalex.org/W3147260715","https://openalex.org/W3163890354","https://openalex.org/W4205275914","https://openalex.org/W4205362845","https://openalex.org/W4211008118","https://openalex.org/W4212863985","https://openalex.org/W4240085024","https://openalex.org/W4241805605"],"related_works":["https://openalex.org/W2083968322","https://openalex.org/W2070724789","https://openalex.org/W4382985020","https://openalex.org/W1973339055","https://openalex.org/W2106609868","https://openalex.org/W3011950536","https://openalex.org/W2230606337","https://openalex.org/W3047972267","https://openalex.org/W1552277675","https://openalex.org/W2089869689"],"abstract_inverted_index":{"Nonlinear":[0],"dynamical":[1,111,125,145],"systems":[2,32,64,126],"have":[3],"been":[4],"used":[5],"in":[6,81,201,205],"many":[7],"disciplines":[8],"to":[9,43,70,83,140],"model":[10],"complex":[11,78],"behaviors,":[12],"including":[13],"biological":[14],"motor":[15,206],"control,":[16],"robotics,":[17],"perception,":[18],"economics,":[19],"traffic":[20],"prediction,":[21],"and":[22,87,92,98,109,155,178,197,208],"neuroscience.":[23],"While":[24],"often":[25],"the":[26,34,71,88,128,191],"unexpected":[27],"emergent":[28],"behavior":[29,46,61],"of":[30,36,40,53,74,90,116,122,130,136,151,169,182,194],"nonlinear":[31,63,124,161],"is":[33,39,139],"focus":[35],"investigations,":[37],"it":[38],"equal":[41],"importance":[42],"create":[44],"goal-directed":[45,60],"(e.g.,":[47],"stable":[48],"locomotion":[49],"from":[50],"a":[51,103,114,143,149,159,170],"system":[52,162],"coupled":[54],"oscillators":[55],"under":[56],"perceptual":[57],"guidance).":[58],"Modeling":[59],"with":[62,127,142,163],"is,":[65],"however,":[66],"rather":[67],"difficult":[68],"due":[69],"parameter":[72,85,100],"sensitivity":[73],"these":[75],"systems,":[76],"their":[77,94],"phase":[79],"transitions":[80],"response":[82],"subtle":[84],"changes,":[86],"difficulty":[89],"analyzing":[91],"predicting":[93],"long-term":[95],"behavior;":[96],"intuition":[97],"time-consuming":[99],"tuning":[101],"play":[102],"major":[104],"role.":[105],"This":[106],"letter":[107],"presents":[108],"reviews":[110],"movement":[112],"primitives,":[113],"line":[115],"research":[117],"for":[118],"modeling":[119],"attractor":[120,165],"behaviors":[121],"autonomous":[123,172],"help":[129],"statistical":[131],"learning":[132],"techniques.":[133],"The":[134],"essence":[135],"our":[137,195],"approach":[138,196],"start":[141],"simple":[144],"system,":[146],"such":[147],"as":[148],"set":[150],"linear":[152],"differential":[153],"equations,":[154],"transform":[156],"those":[157],"into":[158],"weakly":[160],"prescribed":[164],"dynamics":[166],"by":[167],"means":[168],"learnable":[171],"forcing":[173],"term.":[174],"Both":[175],"point":[176],"attractors":[177,181],"limit":[179],"cycle":[180],"almost":[183],"arbitrary":[184],"complexity":[185],"can":[186],"be":[187],"generated.":[188],"We":[189],"explain":[190],"design":[192],"principle":[193],"evaluate":[198],"its":[199],"properties":[200],"several":[202],"example":[203],"applications":[204],"control":[207],"robotics.":[209]},"counts_by_year":[{"year":2026,"cited_by_count":38},{"year":2025,"cited_by_count":143},{"year":2024,"cited_by_count":144},{"year":2023,"cited_by_count":155},{"year":2022,"cited_by_count":127},{"year":2021,"cited_by_count":163},{"year":2020,"cited_by_count":142},{"year":2019,"cited_by_count":170},{"year":2018,"cited_by_count":126},{"year":2017,"cited_by_count":114},{"year":2016,"cited_by_count":85},{"year":2015,"cited_by_count":79},{"year":2014,"cited_by_count":64},{"year":2013,"cited_by_count":27},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}