{"id":"https://openalex.org/W2075253754","doi":"https://doi.org/10.1142/s0218127409022890","title":"HYPERCHAOS IN THE FRACTIONAL-ORDER R\u00d6SSLER SYSTEM WITH LOWEST-ORDER","display_name":"HYPERCHAOS IN THE FRACTIONAL-ORDER R\u00d6SSLER SYSTEM WITH LOWEST-ORDER","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2075253754","doi":"https://doi.org/10.1142/s0218127409022890","mag":"2075253754"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409022890","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409022890","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/A5073255599","display_name":"Donato Cafagna","orcid":"https://orcid.org/0000-0002-3804-8021"},"institutions":[{"id":"https://openalex.org/I142910587","display_name":"University of Salento","ror":"https://ror.org/03fc1k060","country_code":"IT","type":"education","lineage":["https://openalex.org/I142910587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"DONATO CAFAGNA","raw_affiliation_strings":["Dipartimento Ingegneria Innovazione, Universit\u00e0 del Salento, Lecce, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento Ingegneria Innovazione, Universit\u00e0 del Salento, Lecce, Italy","institution_ids":["https://openalex.org/I142910587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055199720","display_name":"Giuseppe Grassi","orcid":"https://orcid.org/0000-0002-8876-3760"},"institutions":[{"id":"https://openalex.org/I142910587","display_name":"University of Salento","ror":"https://ror.org/03fc1k060","country_code":"IT","type":"education","lineage":["https://openalex.org/I142910587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"GIUSEPPE GRASSI","raw_affiliation_strings":["Dipartimento Ingegneria Innovazione, Universit\u00e0 del Salento, Lecce, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento Ingegneria Innovazione, Universit\u00e0 del Salento, Lecce, Italy","institution_ids":["https://openalex.org/I142910587"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I142910587"],"apc_list":null,"apc_paid":null,"fwci":1.11,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.77496038,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"19","issue":"01","first_page":"339","last_page":"347"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9957000017166138,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9596999883651733,"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/order","display_name":"Order (exchange)","score":0.7448075413703918},{"id":"https://openalex.org/keywords/adomian-decomposition-method","display_name":"Adomian decomposition method","score":0.7352636456489563},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.502251148223877},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48734816908836365},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.48152074217796326},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4663355350494385},{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.44240522384643555},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.4230322539806366},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4019300937652588},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36691421270370483},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.3489416837692261},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.295258104801178},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.21868795156478882},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19099649786949158},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18517625331878662},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07250261306762695}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.7448075413703918},{"id":"https://openalex.org/C120317633","wikidata":"https://www.wikidata.org/wiki/Q3042796","display_name":"Adomian decomposition method","level":3,"score":0.7352636456489563},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.502251148223877},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48734816908836365},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.48152074217796326},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4663355350494385},{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.44240522384643555},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4230322539806366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4019300937652588},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36691421270370483},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.3489416837692261},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.295258104801178},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.21868795156478882},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19099649786949158},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18517625331878662},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07250261306762695},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409022890","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409022890","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W55790716","https://openalex.org/W1509146820","https://openalex.org/W1560556759","https://openalex.org/W1967262495","https://openalex.org/W1984762618","https://openalex.org/W1987580284","https://openalex.org/W2001065150","https://openalex.org/W2014052538","https://openalex.org/W2023565590","https://openalex.org/W2027955822","https://openalex.org/W2031668778","https://openalex.org/W2033275894","https://openalex.org/W2038287390","https://openalex.org/W2046035016","https://openalex.org/W2051022759","https://openalex.org/W2056134058","https://openalex.org/W2057645973","https://openalex.org/W2070454382","https://openalex.org/W2086737859","https://openalex.org/W2091877690","https://openalex.org/W2128470802","https://openalex.org/W2133242986","https://openalex.org/W2134837756","https://openalex.org/W2135879504","https://openalex.org/W2152254020","https://openalex.org/W2154953502","https://openalex.org/W2155572235","https://openalex.org/W2303324995","https://openalex.org/W2483375472","https://openalex.org/W4246761151","https://openalex.org/W4247371619","https://openalex.org/W4253062931","https://openalex.org/W4301223505"],"related_works":["https://openalex.org/W2233017382","https://openalex.org/W52595378","https://openalex.org/W2157347895","https://openalex.org/W2156757264","https://openalex.org/W1780388054","https://openalex.org/W3048266432","https://openalex.org/W71690152","https://openalex.org/W2272010806","https://openalex.org/W2429002706","https://openalex.org/W3161822928"],"abstract_inverted_index":{"This":[0,55],"Letter":[1,39],"analyzes":[2],"the":[3,7,20,30,38,45,57],"hyperchaotic":[4,65],"dynamics":[5],"of":[6,15,29,37],"fractional-order":[8],"R\u00f6ssler":[9,47],"system":[10,48,66],"from":[11],"a":[12],"time-domain":[13],"point":[14],"view.":[16],"The":[17],"approach":[18],"exploits":[19],"Adomian":[21],"decomposition":[22],"method":[23],"(ADM),":[24],"which":[25],"generates":[26],"series":[27],"solution":[28],"fractional":[31,46],"differential":[32],"equations.":[33],"A":[34],"remarkable":[35],"finding":[36],"is":[40],"that":[41],"hyperchaos":[42],"occurs":[43],"in":[44,61],"with":[49],"order":[50,59],"as":[51,53],"low":[52],"3.12.":[54],"represents":[56],"lowest":[58],"reported":[60],"literature":[62],"for":[63],"any":[64],"studied":[67],"so":[68],"far.":[69]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}