{"id":"https://openalex.org/W2766253615","doi":"https://doi.org/10.1007/978-3-319-68445-1_38","title":"A Topological View on Forced Oscillations and\u00a0Control of an Inverted Pendulum","display_name":"A Topological View on Forced Oscillations and\u00a0Control of an Inverted Pendulum","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2766253615","doi":"https://doi.org/10.1007/978-3-319-68445-1_38","mag":"2766253615"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-68445-1_38","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-68445-1_38","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/A5055549395","display_name":"Ivan Polekhin","orcid":"https://orcid.org/0000-0002-6312-6511"},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Ivan Polekhin","raw_affiliation_strings":["Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina Str., 119991, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina Str., 119991, Moscow, Russia","institution_ids":["https://openalex.org/I2801160905","https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055549395"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I2801160905"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.756,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.71713748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"329","last_page":"335"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9944000244140625,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9944000244140625,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9937000274658203,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kapitzas-pendulum","display_name":"Kapitza's pendulum","score":0.8886951804161072},{"id":"https://openalex.org/keywords/inverted-pendulum","display_name":"Inverted pendulum","score":0.8549354076385498},{"id":"https://openalex.org/keywords/double-inverted-pendulum","display_name":"Double inverted pendulum","score":0.7643917798995972},{"id":"https://openalex.org/keywords/pendulum","display_name":"Pendulum","score":0.6732591986656189},{"id":"https://openalex.org/keywords/double-pendulum","display_name":"Double pendulum","score":0.6197969913482666},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.589130163192749},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5569192171096802},{"id":"https://openalex.org/keywords/furuta-pendulum","display_name":"Furuta pendulum","score":0.552322268486023},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5363091230392456},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.5093847513198853},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4978346824645996},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.4877355992794037},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.45757174491882324},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4367499053478241},{"id":"https://openalex.org/keywords/gravitational-field","display_name":"Gravitational field","score":0.4236401319503784},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41226091980934143},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3778769075870514},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3716135323047638},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3272961378097534},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.235671728849411},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10592544078826904},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10245516896247864}],"concepts":[{"id":"https://openalex.org/C152442685","wikidata":"https://www.wikidata.org/wiki/Q4286430","display_name":"Kapitza's pendulum","level":5,"score":0.8886951804161072},{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.8549354076385498},{"id":"https://openalex.org/C102540577","wikidata":"https://www.wikidata.org/wiki/Q5300047","display_name":"Double inverted pendulum","level":4,"score":0.7643917798995972},{"id":"https://openalex.org/C110639684","wikidata":"https://www.wikidata.org/wiki/Q20702","display_name":"Pendulum","level":2,"score":0.6732591986656189},{"id":"https://openalex.org/C167183279","wikidata":"https://www.wikidata.org/wiki/Q1243208","display_name":"Double pendulum","level":4,"score":0.6197969913482666},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.589130163192749},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5569192171096802},{"id":"https://openalex.org/C191601290","wikidata":"https://www.wikidata.org/wiki/Q5509824","display_name":"Furuta pendulum","level":5,"score":0.552322268486023},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5363091230392456},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5093847513198853},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4978346824645996},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.4877355992794037},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.45757174491882324},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4367499053478241},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.4236401319503784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41226091980934143},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3778769075870514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3716135323047638},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3272961378097534},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.235671728849411},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10592544078826904},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10245516896247864},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-68445-1_38","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-68445-1_38","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W151344146","https://openalex.org/W349591683","https://openalex.org/W1982039865","https://openalex.org/W2258973247","https://openalex.org/W2588793982","https://openalex.org/W2758761568","https://openalex.org/W2949841909","https://openalex.org/W2963013996","https://openalex.org/W2963320868"],"related_works":["https://openalex.org/W2366496871","https://openalex.org/W3216306759","https://openalex.org/W2612646280","https://openalex.org/W2734833709","https://openalex.org/W2333418779","https://openalex.org/W2912068311","https://openalex.org/W2655681456","https://openalex.org/W2171397601","https://openalex.org/W4306702009","https://openalex.org/W2518122872"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
