{"id":"https://openalex.org/W2575138818","doi":"https://doi.org/10.1109/jas.2017.7510343","title":"Stability analysis, chaos control of fractional order Vallis and El-Nino systems and their synchronization","display_name":"Stability analysis, chaos control of fractional order Vallis and El-Nino systems and their synchronization","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2575138818","doi":"https://doi.org/10.1109/jas.2017.7510343","mag":"2575138818"},"language":"en","primary_location":{"id":"doi:10.1109/jas.2017.7510343","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jas.2017.7510343","pdf_url":null,"source":{"id":"https://openalex.org/S2484288132","display_name":"IEEE/CAA Journal of Automatica Sinica","issn_l":"2329-9266","issn":["2329-9266","2329-9274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/CAA Journal of Automatica Sinica","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/A5029915868","display_name":"Subir Das","orcid":"https://orcid.org/0000-0002-9540-2883"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Subir Das","raw_affiliation_strings":["Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi 221005, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi 221005, India","institution_ids":["https://openalex.org/I91357014"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015119142","display_name":"Vijay K. Yadav","orcid":"https://orcid.org/0000-0002-2840-2998"},"institutions":[{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vijay K Yadav","raw_affiliation_strings":["Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi 221005, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi 221005, India","institution_ids":["https://openalex.org/I91357014"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029915868"],"corresponding_institution_ids":["https://openalex.org/I91357014"],"apc_list":null,"apc_paid":null,"fwci":1.9089,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.85320958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"4","issue":"1","first_page":"114","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9998000264167786,"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/T10244","display_name":"Chaos control and synchronization","score":0.9998000264167786,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9961000084877014,"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":0.9879999756813049,"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/synchronization","display_name":"Synchronization (alternating current)","score":0.7393516302108765},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6806135177612305},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.6087871193885803},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5874143838882446},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5700340270996094},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5478843450546265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4697701632976532},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4604438543319702},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.4146284759044647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3868267834186554},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3443700075149536},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3225364089012146},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.15053477883338928},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09707272052764893},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09262651205062866}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7393516302108765},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6806135177612305},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.6087871193885803},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5874143838882446},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5700340270996094},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5478843450546265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4697701632976532},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4604438543319702},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.4146284759044647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3868267834186554},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3443700075149536},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3225364089012146},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.15053477883338928},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09707272052764893},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09262651205062866},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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:10.1109/jas.2017.7510343","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jas.2017.7510343","pdf_url":null,"source":{"id":"https://openalex.org/S2484288132","display_name":"IEEE/CAA Journal of Automatica Sinica","issn_l":"2329-9266","issn":["2329-9266","2329-9274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/CAA Journal of Automatica Sinica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W56786142","https://openalex.org/W1584611818","https://openalex.org/W1969594279","https://openalex.org/W1969964811","https://openalex.org/W1970442252","https://openalex.org/W1973651275","https://openalex.org/W2016687798","https://openalex.org/W2028668520","https://openalex.org/W2053840485","https://openalex.org/W2063133641","https://openalex.org/W2071051269","https://openalex.org/W2089031727","https://openalex.org/W2092861539","https://openalex.org/W2103233901","https://openalex.org/W2109777786","https://openalex.org/W2111068378","https://openalex.org/W2151015649","https://openalex.org/W2156367245","https://openalex.org/W2162144003","https://openalex.org/W2166000125"],"related_works":["https://openalex.org/W1976339860","https://openalex.org/W2385261246","https://openalex.org/W2378977836","https://openalex.org/W2378473052","https://openalex.org/W2771006323","https://openalex.org/W2361974046","https://openalex.org/W2016918291","https://openalex.org/W2353355202","https://openalex.org/W2392442938","https://openalex.org/W205559535"],"abstract_inverted_index":{"In":[0],"this":[1],"article":[2],"the":[3,7,14,34,50,70,92,103,107],"authors":[4],"have":[5],"studied":[6,28],"stability":[8,45],"analysis":[9],"and":[10,18,43,57,76],"chaos":[11,22],"control":[12,23,31],"of":[13,24,36,80,87,89,106],"fractional":[15,54,81,100],"order":[16,55,82,98,101],"Vallis":[17],"El-Nino":[19],"systems.":[20,84],"The":[21,47,85],"these":[25],"systems":[26,51,93],"is":[27,72,102],"using":[29],"nonlinear":[30],"method":[32,71],"with":[33],"help":[35],"a":[37],"new":[38],"lemma":[39],"for":[40,52,63,78],"Caputo":[41],"derivative":[42],"Lyapunov":[44],"theory.":[46],"synchronization":[48,79,90],"between":[49],"different":[53,64],"cases":[56,66],"numerical":[58],"simulation":[59],"through":[60],"graphical":[61],"plots":[62],"particular":[65],"clearly":[67],"exhibit":[68],"that":[69],"easy":[73],"to":[74,99],"implement":[75],"reliable":[77],"chaotic":[83],"comparison":[86],"time":[88],"when":[91],"pair":[94],"approaches":[95],"from":[96],"standard":[97],"key":[104],"feature":[105],"article.":[108]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-26T13:28:51.108037","created_date":"2025-10-10T00:00:00"}