{"id":"https://openalex.org/W3130040006","doi":"https://doi.org/10.3390/sym13020341","title":"Complexity and Chimera States in a Network of Fractional-Order Laser Systems","display_name":"Complexity and Chimera States in a Network of Fractional-Order Laser Systems","publication_year":2021,"publication_date":"2021-02-20","ids":{"openalex":"https://openalex.org/W3130040006","doi":"https://doi.org/10.3390/sym13020341","mag":"3130040006"},"language":"en","primary_location":{"id":"doi:10.3390/sym13020341","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13020341","pdf_url":"https://www.mdpi.com/2073-8994/13/2/341/pdf?version=1614267737","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://www.mdpi.com/2073-8994/13/2/341/pdf?version=1614267737","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075708894","display_name":"Shaobo He","orcid":"https://orcid.org/0000-0001-5190-4841"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaobo He","raw_affiliation_strings":["School of Physics Science and Technology, Central South University, Changsha 410083, China"],"raw_orcid":"https://orcid.org/0000-0001-5190-4841","affiliations":[{"raw_affiliation_string":"School of Physics Science and Technology, Central South University, Changsha 410083, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025728188","display_name":"Hayder Natiq","orcid":"https://orcid.org/0000-0003-1303-9089"},"institutions":[{"id":"https://openalex.org/I4401041618","display_name":"Imam Ja\u2019afar Al-Sadiq University","ror":"https://ror.org/02477a553","country_code":null,"type":"education","lineage":["https://openalex.org/I4401041618"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Hayder Natiq","raw_affiliation_strings":["Information Technology Collage, Imam Ja\u2019afar Al-Sadiq University, Baghdad 10001, Iraq","Information Technology Collage, Imam Ja'afar Al-Sadiq University, Baghdad 10001, Iraq"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Technology Collage, Imam Ja\u2019afar Al-Sadiq University, Baghdad 10001, Iraq","institution_ids":["https://openalex.org/I4401041618"]},{"raw_affiliation_string":"Information Technology Collage, Imam Ja'afar Al-Sadiq University, Baghdad 10001, Iraq","institution_ids":["https://openalex.org/I4401041618"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088552753","display_name":"Santo Banerjee","orcid":"https://orcid.org/0000-0002-2135-695X"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Santo Banerjee","raw_affiliation_strings":["Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018654135","display_name":"Kehui Sun","orcid":"https://orcid.org/0000-0002-9292-0263"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kehui Sun","raw_affiliation_strings":["School of Physics Science and Technology, Central South University, Changsha 410083, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics Science and Technology, Central South University, Changsha 410083, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088552753"],"corresponding_institution_ids":["https://openalex.org/I177477856"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.1269,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.8730103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"13","issue":"2","first_page":"341","last_page":"341"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9984999895095825,"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":0.9977999925613403,"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":0.5423579216003418},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.5117330551147461},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.48911935091018677},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.48177239298820496},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46403005719184875},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4508030116558075},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4502326250076294},{"id":"https://openalex.org/keywords/laser","display_name":"Laser","score":0.4164429306983948},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37332189083099365},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3588128089904785},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3566247820854187},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2691000998020172},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2448178231716156},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2180114984512329},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10147744417190552},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08453240990638733},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06765860319137573}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5423579216003418},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.5117330551147461},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.48911935091018677},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.48177239298820496},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46403005719184875},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4508030116558075},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4502326250076294},{"id":"https://openalex.org/C520434653","wikidata":"https://www.wikidata.org/wiki/Q38867","display_name":"Laser","level":2,"score":0.4164429306983948},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37332189083099365},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3588128089904785},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3566247820854187},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2691000998020172},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2448178231716156},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2180114984512329},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10147744417190552},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08453240990638733},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06765860319137573},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym13020341","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13020341","pdf_url":"https://www.mdpi.com/2073-8994/13/2/341/pdf?version=1614267737","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:b689f6cdf5de400a9a70db2ce8e1df22","is_oa":true,"landing_page_url":"https://doaj.org/article/b689f6cdf5de400a9a70db2ce8e1df22","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 13, Iss 2, p 341 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/2/341/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13020341","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym13020341","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13020341","pdf_url":"https://www.mdpi.com/2073-8994/13/2/341/pdf?version=1614267737","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":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3130040006.pdf"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1965519732","https://openalex.org/W1970940224","https://openalex.org/W2006803905","https://openalex.org/W2008052025","https://openalex.org/W2010835136","https://openalex.org/W2014683958","https://openalex.org/W2018517858","https://openalex.org/W2027245524","https://openalex.org/W2030308954","https://openalex.org/W2059851411","https://openalex.org/W2064152581","https://openalex.org/W2067064980","https://openalex.org/W2070722739","https://openalex.org/W2085119505","https://openalex.org/W2090043210","https://openalex.org/W2095360730","https://openalex.org/W2111376559","https://openalex.org/W2122093158","https://openalex.org/W2203934738","https://openalex.org/W2289692454","https://openalex.org/W2431176980","https://openalex.org/W2555514792","https://openalex.org/W2557834801","https://openalex.org/W2608986810","https://openalex.org/W2791130675","https://openalex.org/W2801192398","https://openalex.org/W2885704624","https://openalex.org/W2889711596","https://openalex.org/W2890982367","https://openalex.org/W2897153593","https://openalex.org/W2907146791","https://openalex.org/W2911561069","https://openalex.org/W2944259617","https://openalex.org/W2946943331","https://openalex.org/W2974059465","https://openalex.org/W2979923535","https://openalex.org/W3005601776","https://openalex.org/W3022413018","https://openalex.org/W3038494610","https://openalex.org/W3091627458","https://openalex.org/W3114172377","https://openalex.org/W6642911591","https://openalex.org/W6665389906","https://openalex.org/W6736701576"],"related_works":["https://openalex.org/W2391540797","https://openalex.org/W4206623065","https://openalex.org/W2005355485","https://openalex.org/W1570727143","https://openalex.org/W168375694","https://openalex.org/W2703435152","https://openalex.org/W2119092717","https://openalex.org/W2063555990","https://openalex.org/W2002820797","https://openalex.org/W3153461053"],"abstract_inverted_index":{"By":[0],"applying":[1],"the":[2,9,22,31,36,41,49,54,62,84],"Adams-Bashforth-Moulton":[3],"method":[4],"(ABM),":[5],"this":[6,59],"paper":[7,60],"explores":[8],"complexity":[10,38],"and":[11,28,40,69],"synchronization":[12],"of":[13,24,30,56,66,83],"a":[14],"fractional-order":[15,64,86],"laser":[16,67,87],"dynamical":[17],"model.":[18],"The":[19],"dynamics":[20],"under":[21],"variance":[23],"derivative":[25],"order":[26],"q":[27],"parameters":[29],"system":[32,50],"have":[33,79],"examined":[34],"using":[35,75],"multiscale":[37],"algorithm":[39],"bifurcation":[42],"diagram.":[43],"Numerical":[44],"simulation":[45],"outcomes":[46],"demonstrate":[47],"that":[48],"generates":[51],"chaos":[52],"with":[53],"decreasing":[55],"q.":[57],"Moreover,":[58],"designs":[61],"coupled":[63],"network":[65],"systems":[68],"subsequently":[70],"obtains":[71],"its":[72],"numerical":[73],"solution":[74],"ABM.":[76],"These":[77],"solutions":[78],"demonstrated":[80],"chimera":[81],"states":[82],"proposed":[85],"network.":[88]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}