{"id":"https://openalex.org/W2612757019","doi":"https://doi.org/10.1142/s0218127417500523","title":"Chaos and Chaos Control of the Frenkel\u2013Kontorova Model with Dichotomous Noise","display_name":"Chaos and Chaos Control of the Frenkel\u2013Kontorova Model with Dichotomous Noise","publication_year":2017,"publication_date":"2017-04-01","ids":{"openalex":"https://openalex.org/W2612757019","doi":"https://doi.org/10.1142/s0218127417500523","mag":"2612757019"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127417500523","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127417500523","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/A5053259043","display_name":"Youming Lei","orcid":"https://orcid.org/0000-0002-8078-1067"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Youming Lei","raw_affiliation_strings":["Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101911592","display_name":"Fan Zheng","orcid":"https://orcid.org/0000-0002-8162-0337"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fan Zheng","raw_affiliation_strings":["Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009356941","display_name":"Xizhen Shao","orcid":null},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xizhen Shao","raw_affiliation_strings":["Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, P. R. China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053259043"],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":null,"apc_paid":null,"fwci":1.036,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.79306683,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"27","issue":"04","first_page":"1750052","last_page":"1750052"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"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":0.9997000098228455,"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/T10244","display_name":"Chaos control and synchronization","score":0.998199999332428,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9954000115394592,"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/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.743289589881897},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.6620895266532898},{"id":"https://openalex.org/keywords/control-of-chaos","display_name":"Control of chaos","score":0.6218598484992981},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6196247935295105},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6041375398635864},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5577985048294067},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5558769702911377},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5510249733924866},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.5271090269088745},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4852313995361328},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.4622943103313446},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.352433979511261},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.19124844670295715},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1601179838180542},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14186310768127441},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12057507038116455}],"concepts":[{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.743289589881897},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.6620895266532898},{"id":"https://openalex.org/C95518870","wikidata":"https://www.wikidata.org/wiki/Q49315702","display_name":"Control of chaos","level":5,"score":0.6218598484992981},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6196247935295105},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6041375398635864},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5577985048294067},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5558769702911377},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5510249733924866},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.5271090269088745},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4852313995361328},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.4622943103313446},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.352433979511261},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.19124844670295715},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1601179838180542},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14186310768127441},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12057507038116455},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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":1,"locations":[{"id":"doi:10.1142/s0218127417500523","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127417500523","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4840497146","display_name":null,"funder_award_id":"11672231","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W126935648","https://openalex.org/W1507377923","https://openalex.org/W1944192336","https://openalex.org/W1963652217","https://openalex.org/W1970442252","https://openalex.org/W1973306916","https://openalex.org/W1980369446","https://openalex.org/W1998367480","https://openalex.org/W2001217516","https://openalex.org/W2001510177","https://openalex.org/W2007256907","https://openalex.org/W2009015431","https://openalex.org/W2013860220","https://openalex.org/W2016687798","https://openalex.org/W2019756178","https://openalex.org/W2021201165","https://openalex.org/W2030098372","https://openalex.org/W2032455714","https://openalex.org/W2038143838","https://openalex.org/W2041419228","https://openalex.org/W2041440472","https://openalex.org/W2042177016","https://openalex.org/W2047161029","https://openalex.org/W2051495774","https://openalex.org/W2053887434","https://openalex.org/W2060920797","https://openalex.org/W2068003521","https://openalex.org/W2068755853","https://openalex.org/W2081834050","https://openalex.org/W2082836281","https://openalex.org/W2089876099","https://openalex.org/W2091177537","https://openalex.org/W2091526134","https://openalex.org/W2091657382","https://openalex.org/W2093734567","https://openalex.org/W2128292256","https://openalex.org/W2129949229","https://openalex.org/W2152254020","https://openalex.org/W2233005761","https://openalex.org/W2486417545","https://openalex.org/W2605610131","https://openalex.org/W3040940214","https://openalex.org/W3214558262","https://openalex.org/W4230976146","https://openalex.org/W4236720462","https://openalex.org/W4244251329","https://openalex.org/W4251015067","https://openalex.org/W4255866674"],"related_works":["https://openalex.org/W1628429654","https://openalex.org/W1083439616","https://openalex.org/W2023046846","https://openalex.org/W2392447668","https://openalex.org/W2052017700","https://openalex.org/W4240432832","https://openalex.org/W3199731469","https://openalex.org/W2069679324","https://openalex.org/W2167530057","https://openalex.org/W2365276084"],"abstract_inverted_index":{"Chaos":[0],"and":[1,15,56,75,143,160],"chaos":[2,24,70,85,99,126],"control":[3,100,114],"of":[4,23,52,78,84,90,98,105,118,124,151,155,169],"the":[5,21,26,34,43,53,72,76,82,88,95,106,111,116,122,128,138,144,149,152,167,170],"Frenkel\u2013Kontorova":[6],"(FK)":[7],"model":[8,28,55,130],"with":[9,38,87],"dichotomous":[10,65],"noise":[11,66,79,119],"are":[12,29,163],"studied":[13],"theoretically":[14],"numerically.":[16],"The":[17],"threshold":[18,77,117],"conditions":[19],"for":[20,58,81,121],"onset":[22,83,123],"in":[25,71,127],"FK":[27,54,73,129],"firstly":[30],"derived":[31],"by":[32,103],"applying":[33],"random":[35],"Melnikov":[36],"method":[37],"a":[39,48],"mean-square":[40],"criterion":[41,97],"to":[42,165],"soliton":[44],"equation,":[45],"which":[46],"is":[47,101,131],"fundamental":[49],"topological":[50],"mode":[51],"accounts":[57],"its":[59,91],"nonlinear":[60],"phenomena.":[61],"We":[62],"found":[63],"that":[64],"can":[67],"induce":[68],"stochastic":[69],"model,":[74],"amplitude":[80,120],"increases":[86],"increase":[89],"transition":[92],"rate.":[93],"Then":[94],"analytical":[96,153],"obtained":[102],"means":[104],"time-delay":[107,112],"feedback":[108,113],"method.":[109],"Since":[110],"raises":[115],"chaos,":[125],"effectively":[132],"suppressed.":[133],"Through":[134],"numerical":[135],"simulations":[136],"including":[137],"mean":[139],"top":[140],"Lyapunov":[141],"exponent":[142],"safe":[145],"basin,":[146],"we":[147],"demonstrate":[148],"validity":[150],"predictions":[154],"chaos.":[156],"Furthermore,":[157],"time":[158],"histories":[159],"phase":[161],"portraits":[162],"utilized":[164],"verify":[166],"effectiveness":[168],"proposed":[171],"control.":[172]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}