{"id":"https://openalex.org/W1981342528","doi":"https://doi.org/10.1017/s0263574700019822","title":"Nonlinear regular dynamics of a single-degree robot model","display_name":"Nonlinear regular dynamics of a single-degree robot model","publication_year":1996,"publication_date":"1996-07-01","ids":{"openalex":"https://openalex.org/W1981342528","doi":"https://doi.org/10.1017/s0263574700019822","mag":"1981342528"},"language":"en","primary_location":{"id":"doi:10.1017/s0263574700019822","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0263574700019822","pdf_url":null,"source":{"id":"https://openalex.org/S92163612","display_name":"Robotica","issn_l":"0263-5747","issn":["0263-5747","1469-8668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Robotica","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/A5057367194","display_name":"V. Paar","orcid":"https://orcid.org/0000-0001-5349-9886"},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"V. Paar","raw_affiliation_strings":["Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia","* Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia","institution_ids":["https://openalex.org/I181343428"]},{"raw_affiliation_string":"* Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia)","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068175423","display_name":"Nenad Pavin","orcid":"https://orcid.org/0000-0002-4313-1081"},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"N. Pavin","raw_affiliation_strings":["Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia","* Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia","institution_ids":["https://openalex.org/I181343428"]},{"raw_affiliation_string":"* Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia)","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061916802","display_name":"\u039d. Paar","orcid":"https://orcid.org/0000-0002-6673-6622"},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"N. Paar","raw_affiliation_strings":["Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia","* Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia","institution_ids":["https://openalex.org/I181343428"]},{"raw_affiliation_string":"* Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia)","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062215553","display_name":"Branko Novakovi\u0107","orcid":"https://orcid.org/0000-0003-0735-770X"},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"B. Novakovi\u0107","raw_affiliation_strings":["\u2020 Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb (Croatia","Faculty of Mechanical Engineering and Naval Architecture University of Zagreb, Zagreb, Croatia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u2020 Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb (Croatia","institution_ids":["https://openalex.org/I181343428"]},{"raw_affiliation_string":"Faculty of Mechanical Engineering and Naval Architecture University of Zagreb, Zagreb, Croatia","institution_ids":["https://openalex.org/I181343428"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I181343428"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.6262,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.63565089,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"4","first_page":"423","last_page":"431"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9993000030517578,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9993000030517578,"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/T10244","display_name":"Chaos control and synchronization","score":0.9991000294685364,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quasiperiodic-function","display_name":"Quasiperiodic function","score":0.8212271928787231},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.60123211145401},{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.5392550230026245},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5112012028694153},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4951414167881012},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47205740213394165},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.46971574425697327},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46935543417930603},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3079904317855835},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3059386610984802},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2625577449798584},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19698965549468994},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18679377436637878},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1497759222984314},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.08075651526451111},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.07447677850723267}],"concepts":[{"id":"https://openalex.org/C55637507","wikidata":"https://www.wikidata.org/wiki/Q5870963","display_name":"Quasiperiodic function","level":2,"score":0.8212271928787231},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.60123211145401},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.5392550230026245},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5112012028694153},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4951414167881012},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47205740213394165},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.46971574425697327},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46935543417930603},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3079904317855835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3059386610984802},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2625577449798584},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19698965549468994},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18679377436637878},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1497759222984314},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.08075651526451111},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.07447677850723267},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0263574700019822","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0263574700019822","pdf_url":null,"source":{"id":"https://openalex.org/S92163612","display_name":"Robotica","issn_l":"0263-5747","issn":["0263-5747","1469-8668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Robotica","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W947370289","https://openalex.org/W1577466517","https://openalex.org/W1582353822","https://openalex.org/W1673910396","https://openalex.org/W1990018592","https://openalex.org/W1992432228","https://openalex.org/W1995752358","https://openalex.org/W1997453391","https://openalex.org/W2020977766","https://openalex.org/W2021800589","https://openalex.org/W2033054095","https://openalex.org/W2048108650","https://openalex.org/W2049494458","https://openalex.org/W2052502319","https://openalex.org/W2058236317","https://openalex.org/W2058374277","https://openalex.org/W2062972229","https://openalex.org/W2069282976","https://openalex.org/W2086182699","https://openalex.org/W2123312609","https://openalex.org/W2125059171","https://openalex.org/W2574175061","https://openalex.org/W4231409469","https://openalex.org/W6647660304","https://openalex.org/W6665096776","https://openalex.org/W6667735527","https://openalex.org/W6671997468","https://openalex.org/W6678278345"],"related_works":["https://openalex.org/W3112195757","https://openalex.org/W3206287350","https://openalex.org/W4391047362","https://openalex.org/W2067095166","https://openalex.org/W2597882770","https://openalex.org/W2800674439","https://openalex.org/W2378287236","https://openalex.org/W4288753900","https://openalex.org/W2052513037","https://openalex.org/W2514951647"],"abstract_inverted_index":{"SUMMARY":[0],"This":[1],"paper":[2],"presents":[3],"a":[4,8,22,51,93],"mathematical":[5],"model":[6],"of":[7,13,18,33,39,68,79,86,88,97,109],"robot":[9],"with":[10],"one":[11],"degree":[12],"freedom":[14],"and":[15,41,60,66],"numerical":[16],"investigation":[17],"its":[19],"dynamics":[20],"in":[21,72,102],"particular":[23],"parameter":[24,46,77,104],"scan":[25],"which":[26],"is":[27,48,100],"close":[28],"to":[29,83],"the":[30,34,37,44,58,73,76,84,103,107],"upper":[31],"boundary":[32],"estimates":[35],"for":[36],"parameters":[38],"rigidity":[40],"friction,":[42],"while":[43],"length":[45],"L":[47],"treated":[49],"as":[50],"free":[52],"control":[53],"parameter.":[54],"In":[55,91],"this":[56],"L-scan":[57],"quasiperiodic":[59],"frequency":[61],"locked":[62],"solutions,":[63],"their":[64],"pattern":[65],"order":[67],"appearance":[69,87],"are":[70],"studied":[71],"interval":[74],"from":[75],"range":[78,108],"immediate":[80],"engineering":[81,110],"significance":[82],"point":[85],"transient":[89],"chaos.":[90],"particular,":[92],"fractaltype":[94],"multiple":[95],"splitting":[96],"Arnold":[98],"tongues":[99],"found":[101],"region":[105],"bordering":[106],"significance.":[111]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}