{"id":"https://openalex.org/W4412974741","doi":"https://doi.org/10.3390/axioms14080610","title":"Mathematical Modeling, Bifurcation Theory, and Chaos in a Dusty Plasma System with Generalized (r\u22c6, q\u22c6) Distributions","display_name":"Mathematical Modeling, Bifurcation Theory, and Chaos in a Dusty Plasma System with Generalized (r\u22c6, q\u22c6) Distributions","publication_year":2025,"publication_date":"2025-08-05","ids":{"openalex":"https://openalex.org/W4412974741","doi":"https://doi.org/10.3390/axioms14080610"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14080610","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080610","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","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/axioms14080610","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076275864","display_name":"Beenish","orcid":"https://orcid.org/0000-0002-0998-0995"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Beenish","raw_affiliation_strings":["Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088794826","display_name":"Maria Samreen","orcid":"https://orcid.org/0000-0003-2143-4695"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Maria Samreen","raw_affiliation_strings":["Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002532291","display_name":"Fehaid Salem Alshammari","orcid":"https://orcid.org/0000-0002-3110-414X"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Fehaid Salem Alshammari","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002532291"],"corresponding_institution_ids":["https://openalex.org/I240666556"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":7.4973,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.97444234,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"14","issue":"8","first_page":"610","last_page":"610"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11603","display_name":"Dust and Plasma Wave Phenomena","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11603","display_name":"Dust and Plasma Wave Phenomena","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12350","display_name":"Particle Dynamics in Fluid Flows","score":0.9825000166893005,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.6618028879165649},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5957052707672119},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5562112331390381},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5109633207321167},{"id":"https://openalex.org/keywords/chaos-theory","display_name":"Chaos theory","score":0.4624974727630615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4005144238471985},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3218991160392761},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3218270540237427},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2012377381324768},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17106187343597412},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.14563101530075073},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09534206986427307}],"concepts":[{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.6618028879165649},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5957052707672119},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5562112331390381},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5109633207321167},{"id":"https://openalex.org/C92866567","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaos theory","level":3,"score":0.4624974727630615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4005144238471985},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3218991160392761},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3218270540237427},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2012377381324768},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17106187343597412},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.14563101530075073},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09534206986427307},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14080610","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080610","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:fd89ae8b79ee406199f3eb2205a8e3f6","is_oa":true,"landing_page_url":"https://doaj.org/article/fd89ae8b79ee406199f3eb2205a8e3f6","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":"Axioms, Vol 14, Iss 8, p 610 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14080610","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080610","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1982911382","https://openalex.org/W1983874169","https://openalex.org/W2017501067","https://openalex.org/W2052204818","https://openalex.org/W2087523030","https://openalex.org/W2598512578","https://openalex.org/W2726689906","https://openalex.org/W2759333229","https://openalex.org/W2802246565","https://openalex.org/W2962982142","https://openalex.org/W2995299078","https://openalex.org/W3016704997","https://openalex.org/W3138146974","https://openalex.org/W4288046734","https://openalex.org/W4293072990","https://openalex.org/W4297928251","https://openalex.org/W4298012125","https://openalex.org/W4319864157","https://openalex.org/W4391160461","https://openalex.org/W4402996390","https://openalex.org/W4404727552","https://openalex.org/W4405311462","https://openalex.org/W4410302292","https://openalex.org/W4412042789","https://openalex.org/W6843708061"],"related_works":["https://openalex.org/W2350515275","https://openalex.org/W2385251151","https://openalex.org/W641155931","https://openalex.org/W4380763934","https://openalex.org/W3156857170","https://openalex.org/W157482499","https://openalex.org/W2091409023","https://openalex.org/W2347964653","https://openalex.org/W2325367974","https://openalex.org/W598958034"],"abstract_inverted_index":{"This":[0],"study":[1],"investigates":[2],"the":[3,28,45,59,68,71,88,92,98,112,116,123,139,176],"dynamics":[4,127],"of":[5,58,67,70,77,91,97,118,128,141,148],"dust":[6,129],"acoustic":[7,131],"periodic":[8,121],"waves":[9,132],"in":[10],"a":[11,31],"three-component,":[12],"unmagnetized":[13],"dusty":[14],"plasma":[15],"system":[16,60,100],"using":[17,146],"generalized":[18],"(r\u22c6,q\u22c6)":[19],"distributions.":[20],"First,":[21],"boundary":[22],"conditions":[23,66,182],"are":[24,61,133],"applied":[25,42],"to":[26,30,43,86,106,179],"reduce":[27],"model":[29],"second-order":[32,46],"nonlinear":[33],"ordinary":[34,47],"differential":[35,48],"equation.":[36],"The":[37,81,94],"Galilean":[38],"transformation":[39],"is":[40,84,101],"subsequently":[41,102],"reformulate":[44],"equation":[49],"into":[50],"an":[51,119],"unperturbed":[52,99],"dynamical":[53],"system.":[54,93],"Next,":[55],"phase":[56,89,113,172],"portraits":[57,90],"examined":[62,184],"under":[63],"all":[64],"possible":[65],"discriminant":[69],"associated":[72],"cubic":[73],"polynomial,":[74],"identifying":[75],"regions":[76],"stability":[78],"and":[79,104,110,125,143,168,170],"instability.":[80],"Runge\u2013Kutta":[82],"method":[83],"employed":[85],"construct":[87],"Hamiltonian":[95],"function":[96],"derived":[103],"used":[105],"analyze":[107],"energy":[108],"levels":[109],"verify":[111],"portraits.":[114,173],"Under":[115],"influence":[117],"external":[120],"perturbation,":[122],"quasi-periodic":[124,142],"chaotic":[126,144],"ion":[130],"explored.":[134],"Chaos":[135],"detection":[136],"tools":[137],"confirm":[138],"presence":[140],"patterns":[145],"Basin":[147],"attraction,":[149],"Lyapunov":[150],"exponents,":[151],"Fractal":[152],"Dimension,":[153],"Bifurcation":[154],"diagram,":[155],"Poincar\u00e9":[156],"map,":[157,165],"Time":[158],"analysis,":[159,161],"Multi-stability":[160],"Chaotic":[162],"attractor,":[163],"Return":[164],"Power":[166],"spectrum,":[167],"3D":[169],"2D":[171],"In":[174],"addition,":[175],"model\u2019s":[177],"response":[178],"different":[180],"initial":[181],"was":[183],"through":[185],"sensitivity":[186],"analysis.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-08-05T00:00:00"}
