{"id":"https://openalex.org/W4388961826","doi":"https://doi.org/10.1142/s0218127423501699","title":"Integrability and Global Dynamics of Two Chaotic Systems","display_name":"Integrability and Global Dynamics of Two Chaotic Systems","publication_year":2023,"publication_date":"2023-11-01","ids":{"openalex":"https://openalex.org/W4388961826","doi":"https://doi.org/10.1142/s0218127423501699"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127423501699","doi":"https://doi.org/10.1142/s0218127423501699","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423501699","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,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"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"},"volume":null,"type":"article","is_traditional":true,"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/A5037529455","display_name":"Sarbast Hussein","orcid":"https://orcid.org/0000-0002-4772-7720","observed_orcids":["https://orcid.org/0000-0002-4772-7720"]},"institutions":[{"id":"https://openalex.org/I32706565","display_name":"Soran University","ror":"https://ror.org/03k9q0e81","country_code":"IQ","type":"education","lineage":["https://openalex.org/I32706565"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Sarbast Hussein","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Soran University, Soran 44008, Kurdistan Region, Iraq"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Soran University, Soran 44008, Kurdistan Region, Iraq","institution_ids":["https://openalex.org/I32706565"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066182898","display_name":"Azad Ibrahim Amen","orcid":"https://orcid.org/0000-0002-9310-6474","observed_orcids":["https://orcid.org/0000-0002-9310-6474"]},"institutions":[{"id":"https://openalex.org/I3132703562","display_name":"University of Raparin","ror":"https://ror.org/00fs9wb06","country_code":"IQ","type":"education","lineage":["https://openalex.org/I3132703562"]},{"id":"https://openalex.org/I46208956","display_name":"Salahaddin University-Erbil","ror":"https://ror.org/02124dd11","country_code":"IQ","type":"education","lineage":["https://openalex.org/I46208956"]},{"id":"https://openalex.org/I6033180","display_name":"University of Duhok","ror":"https://ror.org/02g07ds81","country_code":"IQ","type":"education","lineage":["https://openalex.org/I6033180"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Azad Ibrahim Amen","raw_affiliation_strings":["Department of Mathematics, Basic Education College, Raparin University, Ranya 46012, Kurdistan Region, Iraq","Department of Mathematics, College of Basic Education, Salahaddin University, Erbil, Erbil 44001, Kurdistan Region, Iraq","Department of Mathematics, College of Science, Duhok University, Duhok 42001, Kurdistan Region, Iraq"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Basic Education College, Raparin University, Ranya 46012, Kurdistan Region, Iraq","institution_ids":["https://openalex.org/I3132703562"]},{"raw_affiliation_string":"Department of Mathematics, College of Basic Education, Salahaddin University, Erbil, Erbil 44001, Kurdistan Region, Iraq","institution_ids":["https://openalex.org/I46208956"]},{"raw_affiliation_string":"Department of Mathematics, College of Science, Duhok University, Duhok 42001, Kurdistan Region, Iraq","institution_ids":["https://openalex.org/I6033180"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6879,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.569202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"33","issue":"14","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9916999936103821,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9916999936103821,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.0052999998442828655,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.0013000000035390258,"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/integrability","display_name":"integrability","score":0.8820000290870667},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"chaotic systems","score":0.7459999918937683},{"id":"https://openalex.org/keywords/conserved-quantities","display_name":"first integrals","score":0.8889999985694885},{"id":"https://openalex.org/keywords/rational-first-integrals","display_name":"rational first integrals","score":0.8980000019073486},{"id":"https://openalex.org/keywords/polynomial-first-integrals","display_name":"polynomial first integrals","score":0.8619999885559082},{"id":"https://openalex.org/keywords/poincare-compactification","display_name":"Poincar\u00e9 compactification","score":0.8899999856948853},{"id":"https://openalex.org/keywords/global-dynamics","display_name":"global dynamics","score":0.9559999704360962}],"concepts":[{"id":"https://openalex.org/C2779165322","wikidata":"https://www.wikidata.org/wiki/Q546145","display_name":"Compactification (mathematics)","level":2,"score":0.728568971157074},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7182067632675171},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6570393443107605},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.6052828431129456},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.5685989856719971},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.4941544830799103},{"id":"https://openalex.org/C2776728590","wikidata":"https://www.wikidata.org/wiki/Q363948","display_name":"Contradiction","level":2,"score":0.4374937415122986},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43389081954956055},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3531717360019684},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3281996250152588},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28717321157455444},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23563599586486816},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09128105640411377},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127423501699","doi":"https://doi.org/10.1142/s0218127423501699","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423501699","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,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1515307033","https://openalex.org/W1971650444","https://openalex.org/W1980937202","https://openalex.org/W1999843984","https://openalex.org/W2001944982","https://openalex.org/W2009453463","https://openalex.org/W2023858889","https://openalex.org/W2025510029","https://openalex.org/W2027726575","https://openalex.org/W2030496841","https://openalex.org/W2037061473","https://openalex.org/W2043724249","https://openalex.org/W2054208173","https://openalex.org/W2104604364","https://openalex.org/W2123433550","https://openalex.org/W2129164692","https://openalex.org/W2366551305","https://openalex.org/W2514631144","https://openalex.org/W2605218761","https://openalex.org/W2710403318","https://openalex.org/W2750196302","https://openalex.org/W2795801914","https://openalex.org/W3011890802","https://openalex.org/W3021765168","https://openalex.org/W3194529893","https://openalex.org/W3205232889","https://openalex.org/W4238936271"],"related_works":["https://openalex.org/W2086855752","https://openalex.org/W2792256976","https://openalex.org/W1976919849","https://openalex.org/W2135149149","https://openalex.org/W2227935301","https://openalex.org/W7119577989","https://openalex.org/W2113629153","https://openalex.org/W2171161332","https://openalex.org/W2201023329","https://openalex.org/W334892376"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"integrability":[3],"and":[4,13,33],"the":[5,21,42,54,65],"global":[6],"dynamics":[7,66],"of":[8,64],"two":[9],"chaotic":[10],"systems,":[11,15],"Coullet":[12],"Malasoma":[14],"are":[16,56],"studied.":[17],"We":[18,58],"mainly":[19],"use":[20],"contradiction":[22],"technique":[23,72],"to":[24],"show":[25],"that":[26,41],"both":[27,74],"systems":[28],"have":[29],"no":[30,46],"polynomial,":[31],"Darboux":[32],"rational":[34],"first":[35,48],"integrals.":[36],"Moreover,":[37],"it":[38],"is":[39],"proved":[40],"Cullet":[43],"system":[44],"has":[45],"analytic":[47],"integrals":[49],"if":[50],"some":[51],"conditions":[52],"on":[53],"parameters":[55],"satisfied.":[57],"also":[59],"give":[60],"a":[61],"complete":[62],"description":[63],"at":[67],"infinity":[68],"by":[69],"Poincar\u00e9":[70],"compactification":[71],"for":[73],"aforementioned":[75],"systems.":[76]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2023-11-24T00:00:00"}