{"id":"https://openalex.org/W4403172089","doi":"https://doi.org/10.3390/sym16101319","title":"Synchronization of Chaotic Satellite Systems with Fractional Derivatives Analysis Using Feedback Active Control Techniques","display_name":"Synchronization of Chaotic Satellite Systems with Fractional Derivatives Analysis Using Feedback Active Control Techniques","publication_year":2024,"publication_date":"2024-10-06","ids":{"openalex":"https://openalex.org/W4403172089","doi":"https://doi.org/10.3390/sym16101319"},"language":"en","primary_location":{"id":"doi:10.3390/sym16101319","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16101319","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/sym16101319","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021979612","display_name":"Sanjay Kumar","orcid":"https://orcid.org/0000-0003-2943-4825"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sanjay Kumar","raw_affiliation_strings":["Amity School of Engineering and Technology, Amity University, Patna 801503, India"],"affiliations":[{"raw_affiliation_string":"Amity School of Engineering and Technology, Amity University, Patna 801503, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101394546","display_name":"Amit Kumar","orcid":null},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Amit Kumar","raw_affiliation_strings":["Department of Mathematics, Atma Ram Sanatan Dharma College, University of Delhi, New Delhi 110021, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Atma Ram Sanatan Dharma College, University of Delhi, New Delhi 110021, India","institution_ids":["https://openalex.org/I110166357"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101835040","display_name":"Pooja Gupta","orcid":"https://orcid.org/0000-0001-6110-1524"},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Pooja Gupta","raw_affiliation_strings":["Department of Mathematics, Gargi College, University of Delhi, New Delhi 110049, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Gargi College, University of Delhi, New Delhi 110049, India","institution_ids":["https://openalex.org/I110166357"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112558672","display_name":"Ram Pravesh Prasad","orcid":null},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ram Pravesh Prasad","raw_affiliation_strings":["Department of Mathematics, Hansraj College, University of Delhi, New Delhi 110007, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hansraj College, University of Delhi, New Delhi 110007, India","institution_ids":["https://openalex.org/I110166357"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100322234","display_name":"Praveen Kumar","orcid":"https://orcid.org/0000-0003-3098-3653"},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Praveen Kumar","raw_affiliation_strings":["Department of Mathematics, Ramjas College, University of Delhi, New Delhi 110007, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ramjas College, University of Delhi, New Delhi 110007, India","institution_ids":["https://openalex.org/I110166357"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5021979612"],"corresponding_institution_ids":[],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.8821,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73144337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"16","issue":"10","first_page":"1319","last_page":"1319"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9995999932289124,"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":0.9995999932289124,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9973000288009644,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/phase-portrait","display_name":"Phase portrait","score":0.8410452604293823},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.6850795745849609},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6327006816864014},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.629112184047699},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6124742031097412},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6055179834365845},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5328505635261536},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4796191155910492},{"id":"https://openalex.org/keywords/satellite","display_name":"Satellite","score":0.44255322217941284},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.42236876487731934},{"id":"https://openalex.org/keywords/control-of-chaos","display_name":"Control of chaos","score":0.4137003719806671},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.376788854598999},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.371484637260437},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.31273600459098816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2518216073513031},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21619346737861633},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1788894534111023},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0825512707233429},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0822075605392456}],"concepts":[{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.8410452604293823},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6850795745849609},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6327006816864014},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.629112184047699},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6124742031097412},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6055179834365845},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5328505635261536},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4796191155910492},{"id":"https://openalex.org/C19269812","wikidata":"https://www.wikidata.org/wiki/Q26540","display_name":"Satellite","level":2,"score":0.44255322217941284},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.42236876487731934},{"id":"https://openalex.org/C95518870","wikidata":"https://www.wikidata.org/wiki/Q49315702","display_name":"Control of chaos","level":5,"score":0.4137003719806671},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.376788854598999},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.371484637260437},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.31273600459098816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2518216073513031},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21619346737861633},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1788894534111023},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0825512707233429},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0822075605392456},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym16101319","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16101319","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:40cee042f7184f3b8555876b8d7394f8","is_oa":true,"landing_page_url":"https://doaj.org/article/40cee042f7184f3b8555876b8d7394f8","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 16, Iss 10, p 1319 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym16101319","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16101319","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1965562841","https://openalex.org/W1970442252","https://openalex.org/W2004202105","https://openalex.org/W2013530671","https://openalex.org/W2015687261","https://openalex.org/W2015928551","https://openalex.org/W2016601172","https://openalex.org/W2019092498","https://openalex.org/W2024083632","https://openalex.org/W2024467127","https://openalex.org/W2024667987","https://openalex.org/W2037545544","https://openalex.org/W2056073865","https://openalex.org/W2065991528","https://openalex.org/W2083202461","https://openalex.org/W2121652920","https://openalex.org/W2274625716","https://openalex.org/W2800574893","https://openalex.org/W4248774447","https://openalex.org/W4384934988","https://openalex.org/W6656556641","https://openalex.org/W6694464790"],"related_works":["https://openalex.org/W1083439616","https://openalex.org/W2023046846","https://openalex.org/W1628429654","https://openalex.org/W2392447668","https://openalex.org/W1496745782","https://openalex.org/W2411553537","https://openalex.org/W1581278046","https://openalex.org/W2378640948","https://openalex.org/W2069679324","https://openalex.org/W1972982459"],"abstract_inverted_index":{"This":[0],"research":[1],"article":[2],"introduces":[3],"a":[4,80],"novel":[5],"chaotic":[6,117],"satellite":[7,22,45,131],"system":[8],"based":[9],"on":[10],"fractional":[11,20,33,52],"derivatives.":[12],"The":[13],"study":[14],"explores":[15],"the":[16,40,48,99,107],"characteristics":[17],"of":[18,43,50,82,101,116],"various":[19],"derivative":[21,53],"systems":[23,68],"through":[24],"detailed":[25],"phase":[26,41],"portrait":[27],"analysis":[28],"and":[29,38,55,93,103],"computational":[30],"simulations,":[31],"employing":[32],"calculus.":[34],"We":[35],"provide":[36],"illustrations":[37],"tabulate":[39],"portraits":[42],"these":[44],"systems,":[46],"highlighting":[47],"influence":[49],"different":[51],"orders":[54],"parameter":[56],"values.":[57],"Notably,":[58],"our":[59,76],"findings":[60],"reveal":[61],"that":[62],"chaos":[63,102,129],"can":[64],"occur":[65],"even":[66],"in":[67,130],"with":[69],"fewer":[70],"than":[71],"three":[72],"dimensions.":[73],"To":[74],"validate":[75],"results,":[77],"we":[78,112],"utilize":[79],"range":[81],"analytical":[83],"tools,":[84],"including":[85],"equilibrium":[86],"point":[87],"analysis,":[88],"dissipative":[89],"measures,":[90],"Lyapunov":[91],"exponents,":[92],"bifurcation":[94],"diagrams.":[95],"These":[96],"methods":[97],"confirm":[98],"presence":[100],"offer":[104],"insights":[105],"into":[106],"system\u2019s":[108],"dynamic":[109],"behavior.":[110],"Additionally,":[111],"demonstrate":[113],"effective":[114],"control":[115,122],"dynamics":[118],"using":[119],"feedback":[120],"active":[121],"techniques,":[123],"providing":[124],"practical":[125],"solutions":[126],"for":[127],"managing":[128],"systems.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}