{"id":"https://openalex.org/W2003075907","doi":"https://doi.org/10.1142/s0218127414500722","title":"Chaotic Oscillations of Solutions of First Order Hyperbolic Systems in 1D with Nonlinear Boundary Conditions","display_name":"Chaotic Oscillations of Solutions of First Order Hyperbolic Systems in 1D with Nonlinear Boundary Conditions","publication_year":2014,"publication_date":"2014-05-01","ids":{"openalex":"https://openalex.org/W2003075907","doi":"https://doi.org/10.1142/s0218127414500722","mag":"2003075907"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127414500722","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127414500722","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/A5064115698","display_name":"Xiongping Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiongping Dai","raw_affiliation_strings":["Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074290686","display_name":"Tingwen Huang","orcid":"https://orcid.org/0000-0001-9610-846X"},"institutions":[{"id":"https://openalex.org/I58152225","display_name":"Texas A&M University at Qatar","ror":"https://ror.org/03vb4dm14","country_code":"QA","type":"education","lineage":["https://openalex.org/I58152225","https://openalex.org/I91045830"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"Tingwen Huang","raw_affiliation_strings":["Science Program, Texas A&amp;M University at Qatar, P. O. Box 23874, Doha, Qatar"],"affiliations":[{"raw_affiliation_string":"Science Program, Texas A&amp;M University at Qatar, P. O. Box 23874, Doha, Qatar","institution_ids":["https://openalex.org/I58152225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100655967","display_name":"Yu Huang","orcid":"https://orcid.org/0009-0008-9608-0020"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Huang","raw_affiliation_strings":["Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113524040","display_name":"Goong Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]},{"id":"https://openalex.org/I58152225","display_name":"Texas A&M University at Qatar","ror":"https://ror.org/03vb4dm14","country_code":"QA","type":"education","lineage":["https://openalex.org/I58152225","https://openalex.org/I91045830"]}],"countries":["QA","US"],"is_corresponding":false,"raw_author_name":"Goong Chen","raw_affiliation_strings":["Department of Mathematics, Texas A&amp;M University, College Station, TX 77843, USA","Science Program, Texas A&amp;M University at Qatar, P. O. Box 23874, Doha, Qatar"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A&amp;M University, College Station, TX 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Science Program, Texas A&amp;M University at Qatar, P. O. Box 23874, Doha, Qatar","institution_ids":["https://openalex.org/I58152225"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064115698"],"corresponding_institution_ids":["https://openalex.org/I881766915"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.07913858,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"24","issue":"05","first_page":"1450072","last_page":"1450072"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9961000084877014,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9961000084877014,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9886000156402588,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7545497417449951},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5934509634971619},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5776233077049255},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5723773241043091},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5716262459754944},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4972858726978302},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4534873366355896},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41155263781547546},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36285126209259033},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2763892710208893},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11984741687774658}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7545497417449951},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5934509634971619},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5776233077049255},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5723773241043091},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5716262459754944},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4972858726978302},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4534873366355896},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41155263781547546},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36285126209259033},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2763892710208893},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11984741687774658},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127414500722","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127414500722","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":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1641808155","https://openalex.org/W1961956412","https://openalex.org/W1964018952","https://openalex.org/W1970234221","https://openalex.org/W1974777461","https://openalex.org/W1986916895","https://openalex.org/W1990834167","https://openalex.org/W1998328562","https://openalex.org/W2022188539","https://openalex.org/W2031768913","https://openalex.org/W2032362128","https://openalex.org/W2039389503","https://openalex.org/W2042671513","https://openalex.org/W2046109516","https://openalex.org/W2058791052","https://openalex.org/W2059340344","https://openalex.org/W2062427814","https://openalex.org/W2069172908","https://openalex.org/W2080858310","https://openalex.org/W2085961605","https://openalex.org/W2113720055","https://openalex.org/W2121222275","https://openalex.org/W2127497910","https://openalex.org/W2484732246","https://openalex.org/W4212928962","https://openalex.org/W4239883234","https://openalex.org/W4244176413","https://openalex.org/W4299817528","https://openalex.org/W4300093168"],"related_works":["https://openalex.org/W2004708907","https://openalex.org/W2377429601","https://openalex.org/W2386043911","https://openalex.org/W2368252804","https://openalex.org/W3003512042","https://openalex.org/W2379367191","https://openalex.org/W2352594230","https://openalex.org/W2380540883","https://openalex.org/W2513833370","https://openalex.org/W2111215486"],"abstract_inverted_index":{"We":[0],"study":[1],"chaotic":[2],"oscillations":[3],"of":[4,6,36,42,55,59,68],"solutions":[5],"a":[7,52,56],"first":[8],"order":[9],"hyperbolic":[10,48],"system":[11],"in":[12],"one-dimensional":[13],"space,":[14],"where":[15,66],"the":[16,22,37,40],"governing":[17],"equation":[18],"is":[19,39],"linear":[20],"but":[21],"boundary":[23,64],"condition":[24],"contains":[25],"nonlinearity":[26],"with":[27,71],"nonlocal":[28,61],"and":[29,62],"possibly":[30],"time-delay":[31],"effects.":[32],"The":[33],"main":[34],"thrust":[35],"paper":[38],"advancement":[41],"existing":[43],"chaos":[44],"theory":[45],"to":[46],"multicomponent":[47],"PDEs":[49],"that":[50],"allows":[51],"unified":[53],"treatment":[54],"general":[57],"class":[58],"nonlinear,":[60],"time-delayed":[63],"conditions":[65],"components":[67],"waves":[69],"travel":[70],"several":[72],"different":[73],"speeds.":[74]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
