{"id":"https://openalex.org/W2122343924","doi":"https://doi.org/10.1142/s0218127401002547","title":"DYNAMICAL SYSTEMS OF DIFFERENT CLASSES AS MODELS OF THE KICKED NONLINEAR OSCILLATOR","display_name":"DYNAMICAL SYSTEMS OF DIFFERENT CLASSES AS MODELS OF THE KICKED NONLINEAR OSCILLATOR","publication_year":2001,"publication_date":"2001-04-01","ids":{"openalex":"https://openalex.org/W2122343924","doi":"https://doi.org/10.1142/s0218127401002547","mag":"2122343924"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127401002547","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127401002547","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5057353831","display_name":"\u0410. \u041f. \u041a\u0443\u0437\u043d\u0435\u0446\u043e\u0432","orcid":"https://orcid.org/0000-0001-5528-1979"},"institutions":[{"id":"https://openalex.org/I4210152187","display_name":"Institute of Radio-Engineering and Electronics","ror":"https://ror.org/05gbyky62","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210096333","https://openalex.org/I4210152187"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. P. KUZNETSOV","raw_affiliation_strings":["Institute of Radio-Engineering and Electronics of RAS, Saratov Division, Zelenaya 38, Saratov, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Radio-Engineering and Electronics of RAS, Saratov Division, Zelenaya 38, Saratov, Russia","institution_ids":["https://openalex.org/I4210152187"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001620034","display_name":"L. V. Turukina","orcid":"https://orcid.org/0000-0002-4221-8900"},"institutions":[{"id":"https://openalex.org/I4210152187","display_name":"Institute of Radio-Engineering and Electronics","ror":"https://ror.org/05gbyky62","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210096333","https://openalex.org/I4210152187"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"L. V. TURUKINA","raw_affiliation_strings":["Institute of Radio-Engineering and Electronics of RAS, Saratov Division, Zelenaya 38, Saratov, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Radio-Engineering and Electronics of RAS, Saratov Division, Zelenaya 38, Saratov, Russia","institution_ids":["https://openalex.org/I4210152187"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076322824","display_name":"Erik Mosekilde","orcid":"https://orcid.org/0000-0001-7575-8543"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"E. MOSEKILDE","raw_affiliation_strings":["Department of Physics, Technical University of Denmark, Build. 309, DK-2800, Kgs. Lyngby, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Technical University of Denmark, Build. 309, DK-2800, Kgs. Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057353831"],"corresponding_institution_ids":["https://openalex.org/I4210152187"],"apc_list":null,"apc_paid":null,"fwci":1.3407,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.86882409,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"11","issue":"04","first_page":"1065","last_page":"1077"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9970999956130981,"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":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.7110909223556519},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.6173168420791626},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6058850884437561},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6040600538253784},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5937268137931824},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.5782192945480347},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5496158003807068},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5073537230491638},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4827517867088318},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.461626797914505},{"id":"https://openalex.org/keywords/standard-map","display_name":"Standard map","score":0.4464249610900879},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.44588813185691833},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3565319776535034},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27265316247940063},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21113428473472595},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.14963123202323914},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12929832935333252},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0995979905128479}],"concepts":[{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.7110909223556519},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.6173168420791626},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6058850884437561},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6040600538253784},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5937268137931824},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.5782192945480347},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5496158003807068},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5073537230491638},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4827517867088318},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.461626797914505},{"id":"https://openalex.org/C82229145","wikidata":"https://www.wikidata.org/wiki/Q2257676","display_name":"Standard map","level":3,"score":0.4464249610900879},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.44588813185691833},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3565319776535034},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27265316247940063},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21113428473472595},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.14963123202323914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12929832935333252},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0995979905128479},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127401002547","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127401002547","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/68618fe9-d155-4cc7-8f9b-1034b239186f","is_oa":false,"landing_page_url":"https://orbit.dtu.dk/en/publications/68618fe9-d155-4cc7-8f9b-1034b239186f","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kuznetsov , A P , Turukina , L V & Mosekilde , E 2001 , ' Dynamical Systems of Different Classes as Models of the Kicked Nonlinear Oscillator ' , International Journal of Bifurcation and Chaos in Applied Sciences and Engineering , vol. 11 , no. 4 , pp. 1065-1077 .","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1542420084","https://openalex.org/W1975427058","https://openalex.org/W1975608187","https://openalex.org/W1991291444","https://openalex.org/W2017798718","https://openalex.org/W2023921536","https://openalex.org/W2026122174","https://openalex.org/W2028250031","https://openalex.org/W2097029549","https://openalex.org/W2110599588","https://openalex.org/W2246188494"],"related_works":["https://openalex.org/W2313198288","https://openalex.org/W2168856305","https://openalex.org/W4214588273","https://openalex.org/W2364686153","https://openalex.org/W2362584470","https://openalex.org/W2143208590","https://openalex.org/W4214875847","https://openalex.org/W2034069075","https://openalex.org/W4321135758","https://openalex.org/W2372419504"],"abstract_inverted_index":{"Using":[0],"the":[1,9,12,28,34,40,50,62,68,75,87,90,94],"nonlinear":[2],"dissipative":[3],"kicked":[4],"oscillator":[5],"as":[6],"an":[7],"example,":[8],"correspondence":[10],"between":[11],"descriptions":[13],"provided":[14],"by":[15],"model":[16],"dynamical":[17],"systems":[18],"of":[19,27,42,52,57,74,89,103,115],"different":[20],"classes":[21],"is":[22,32,37,46,97,106],"discussed.":[23],"A":[24,99],"detailed":[25],"study":[26],"approximate":[29],"1D":[30],"map":[31],"undertaken:":[33],"period":[35,44],"doubling":[36,45],"examined":[38],"and":[39,55,67],"possibility":[41],"non-Feigenbaum":[43],"shown.":[47],"Illustrations":[48],"in":[49,79,101,112],"form":[51],"bifurcation":[53],"diagrams":[54,59],"sets":[56],"iteration":[58],"are":[60,65,82],"given,":[61],"scaling":[63],"properties":[64,88],"demonstrated,":[66],"tricritical":[69,104],"points":[70,73],"(the":[71],"terminal":[72],"Feigenbaum":[76],"critical":[77],"curves)":[78],"parameter":[80,116],"space":[81],"found.":[83],"The":[84],"congruity":[85],"with":[86],"corresponding":[91],"2D":[92],"map,":[93,96],"Ikeda":[95],"studied.":[98],"description":[100],"terms":[102],"dynamics":[105],"found":[107],"to":[108],"be":[109],"adequate":[110],"only":[111],"particular":[113],"areas":[114],"space.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}