{"id":"https://openalex.org/W2955447291","doi":"https://doi.org/10.1109/access.2019.2921661","title":"Anti-Synchronization and Synchronization of Coupled Chaotic System With Ring Connection and Stochastic Perturbations","display_name":"Anti-Synchronization and Synchronization of Coupled Chaotic System With Ring Connection and Stochastic Perturbations","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2955447291","doi":"https://doi.org/10.1109/access.2019.2921661","mag":"2955447291"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2921661","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2921661","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08733031.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08733031.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101538635","display_name":"Chaolong Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I94357780","display_name":"Zhongkai University of Agriculture and Engineering","ror":"https://ror.org/000b7ms85","country_code":"CN","type":"education","lineage":["https://openalex.org/I94357780"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chaolong Zhang","raw_affiliation_strings":["College of Computational Science, Zhongkai University of Agriculture and Engineering, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Computational Science, Zhongkai University of Agriculture and Engineering, Guangzhou, China","institution_ids":["https://openalex.org/I94357780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063134490","display_name":"Feiqi Deng","orcid":"https://orcid.org/0000-0002-0257-5647"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feiqi Deng","raw_affiliation_strings":["Systems Engineering Institute, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Systems Engineering Institute, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100751241","display_name":"Wenfeng Zhang","orcid":"https://orcid.org/0000-0002-3467-2409"},"institutions":[{"id":"https://openalex.org/I94357780","display_name":"Zhongkai University of Agriculture and Engineering","ror":"https://ror.org/000b7ms85","country_code":"CN","type":"education","lineage":["https://openalex.org/I94357780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenfeng Zhang","raw_affiliation_strings":["Institute of Rural Development, Zhongkai University of Agriculture and Engineering, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Institute of Rural Development, Zhongkai University of Agriculture and Engineering, Guangzhou, China","institution_ids":["https://openalex.org/I94357780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013401457","display_name":"Ting Hou","orcid":"https://orcid.org/0000-0001-9587-180X"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ting Hou","raw_affiliation_strings":["College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061797775","display_name":"Zhiwei Yang","orcid":"https://orcid.org/0000-0001-6969-8177"},"institutions":[{"id":"https://openalex.org/I94357780","display_name":"Zhongkai University of Agriculture and Engineering","ror":"https://ror.org/000b7ms85","country_code":"CN","type":"education","lineage":["https://openalex.org/I94357780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiwei Yang","raw_affiliation_strings":["College of Computational Science, Zhongkai University of Agriculture and Engineering, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Computational Science, Zhongkai University of Agriculture and Engineering, Guangzhou, China","institution_ids":["https://openalex.org/I94357780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101538635"],"corresponding_institution_ids":["https://openalex.org/I94357780"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.432,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60687422,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"7","issue":null,"first_page":"76902","last_page":"76909"},"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/T11261","display_name":"Quantum chaos and dynamical systems","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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9952999949455261,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.8056223392486572},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6754602789878845},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.628994882106781},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6058805584907532},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.6038861870765686},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5523868799209595},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5243666172027588},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.518661618232727},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5089907646179199},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.47888845205307007},{"id":"https://openalex.org/keywords/chen","display_name":"Chen","score":0.4758182168006897},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.44612306356430054},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4310237169265747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36287814378738403},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23533278703689575},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.22551622986793518},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2091171145439148},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0925866961479187},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09063348174095154}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.8056223392486572},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6754602789878845},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.628994882106781},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6058805584907532},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.6038861870765686},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5523868799209595},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5243666172027588},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.518661618232727},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5089907646179199},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.47888845205307007},{"id":"https://openalex.org/C2776085556","wikidata":"https://www.wikidata.org/wiki/Q183361","display_name":"Chen","level":2,"score":0.4758182168006897},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.44612306356430054},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4310237169265747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36287814378738403},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23533278703689575},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.22551622986793518},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2091171145439148},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0925866961479187},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09063348174095154},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2921661","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2921661","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08733031.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8af417b453e14d55a348dae880212672","is_oa":true,"landing_page_url":"https://doaj.org/article/8af417b453e14d55a348dae880212672","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 76902-76909 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2921661","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2921661","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08733031.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1023919524","display_name":null,"funder_award_id":", Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G127781817","display_name":null,"funder_award_id":"61273126","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1436023622","display_name":null,"funder_award_id":"11372107","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1477544716","display_name":null,"funder_award_id":"Guangdong","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2010386442","display_name":null,"funder_award_id":"201704","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2599632846","display_name":null,"funder_award_id":"61503142","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2696157397","display_name":null,"funder_award_id":"ZR201","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G2817589173","display_name":null,"funder_award_id":"61573156","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3049186252","display_name":null,"funder_award_id":"2018A03","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4624825998","display_name":null,"funder_award_id":"ZR2016JL022","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G4675149505","display_name":null,"funder_award_id":"2018A0303130015","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G5869177451","display_name":null,"funder_award_id":"ZR2016JL022","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6226325643","display_name":null,"funder_award_id":"ZR2016JL02","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G6429044885","display_name":null,"funder_award_id":"20170403","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6685450207","display_name":null,"funder_award_id":"61273126","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G7712492769","display_name":null,"funder_award_id":"2018A030313001","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2955447291.pdf","grobid_xml":"https://content.openalex.org/works/W2955447291.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1275718198","https://openalex.org/W1419949155","https://openalex.org/W1687474348","https://openalex.org/W1828618237","https://openalex.org/W1984752193","https://openalex.org/W1999622903","https://openalex.org/W2015743197","https://openalex.org/W2049370582","https://openalex.org/W2077222746","https://openalex.org/W2079756553","https://openalex.org/W2088785901","https://openalex.org/W2137651985","https://openalex.org/W2141759339","https://openalex.org/W2514455149","https://openalex.org/W2522932018","https://openalex.org/W2539932366","https://openalex.org/W2572812326","https://openalex.org/W2613344756","https://openalex.org/W2739145919","https://openalex.org/W2745054170","https://openalex.org/W2795483233","https://openalex.org/W6680995840"],"related_works":["https://openalex.org/W2098435250","https://openalex.org/W2063993333","https://openalex.org/W2144774578","https://openalex.org/W2059319702","https://openalex.org/W2370291258","https://openalex.org/W4396943670","https://openalex.org/W2377945738","https://openalex.org/W2151334249","https://openalex.org/W2068679756","https://openalex.org/W2369102588"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3,35],"anti-synchronization":[4],"and":[5,16,31,39,59],"synchronization":[6],"of":[7,26,71],"a":[8],"stochastic":[9,40,63],"multi-coupled":[10],"chaotic":[11],"system":[12,21,61],"with":[13,62],"ring":[14],"connection":[15],"control":[17,50],"schemes.":[18],"First,":[19],"the":[20,27,32,36,54,69,72],"is":[22],"simplified":[23],"by":[24,48],"means":[25],"formula":[28],"deformation":[29],"technique":[30],"controller.":[33],"Based":[34],"Lyapunov":[37],"method":[38],"differential":[41],"theory,":[42],"some":[43,49],"sufficient":[44],"conditions":[45],"are":[46,65],"obtained":[47],"methods.":[51],"At":[52],"last,":[53],"Chen":[55],"system,":[56,58],"Lorenz":[57],"L\u00fc":[60],"perturbations":[64],"used":[66],"to":[67],"verify":[68],"correctness":[70],"conclusions.":[73]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}