{"id":"https://openalex.org/W2345877267","doi":"https://doi.org/10.1155/2016/8958747","title":"Integrable 2D Time-Irreversible Systems with a Cubic Second Integral","display_name":"Integrable 2D Time-Irreversible Systems with a Cubic Second Integral","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2345877267","doi":"https://doi.org/10.1155/2016/8958747","mag":"2345877267"},"language":"en","primary_location":{"id":"doi:10.1155/2016/8958747","doi":"https://doi.org/10.1155/2016/8958747","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2016/8958747","pdf_url":"https://downloads.hindawi.com/journals/amp/2016/8958747.pdf","source":{"id":"https://openalex.org/S69511584","display_name":"Advances in Mathematical Physics","issn_l":"1687-9120","issn":["1687-9120","1687-9139"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematical Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/amp/2016/8958747.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049835431","display_name":"Hamad M. Yehia","orcid":"https://orcid.org/0000-0003-3879-7038","observed_orcids":["https://orcid.org/0000-0003-3879-7038"]},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"H. M. Yehia","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076570756","display_name":"A. A. Elmandouh","orcid":"https://orcid.org/0000-0002-7191-2010","observed_orcids":["https://orcid.org/0000-0002-7191-2010","https://orcid.org/0000-0002-2214-1539"]},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]},{"id":"https://openalex.org/I4626487","display_name":"King Faisal University","ror":"https://ror.org/00dn43547","country_code":"SA","type":"education","lineage":["https://openalex.org/I4626487"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"A. A. Elmandouh","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","Faculty of Science, Mathematics Department, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]},{"raw_affiliation_string":"Faculty of Science, Mathematics Department, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia","institution_ids":["https://openalex.org/I4626487"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049835431"],"corresponding_institution_ids":["https://openalex.org/I159247623"],"apc_list":{"value":2830,"currency":"USD","value_usd":2830},"apc_paid":{"value":2830,"currency":"USD","value_usd":2830},"fwci":1.9607,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84278069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"2016","issue":null,"first_page":"1","last_page":"10"},"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":0.8827999830245972,"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":0.8827999830245972,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.03400000184774399,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.02889999933540821,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/integrable-systems","display_name":"integrable systems","score":0.8700000047683716},{"id":"https://openalex.org/keywords/velocity-dependent-forces","display_name":"velocity-dependent forces","score":0.7099999785423279},{"id":"https://openalex.org/keywords/gyroscopic-forces","display_name":"gyroscopic forces","score":0.9890000224113464},{"id":"https://openalex.org/keywords/riemannian-metrics","display_name":"Riemannian metrics","score":0.9369999766349792},{"id":"https://openalex.org/keywords/rigid-body-dynamics","display_name":"rigid body dynamics","score":0.8389999866485596}],"concepts":[{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.832119882106781},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.6703516244888306},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5848909020423889},{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.5532344579696655},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5421589016914368},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4971220791339874},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48597586154937744},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4756160378456116},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.46283507347106934},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4454346001148224},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.41459351778030396},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3866666555404663},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34485316276550293},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27149346470832825},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2016/8958747","doi":"https://doi.org/10.1155/2016/8958747","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2016/8958747","pdf_url":"https://downloads.hindawi.com/journals/amp/2016/8958747.pdf","source":{"id":"https://openalex.org/S69511584","display_name":"Advances in Mathematical Physics","issn_l":"1687-9120","issn":["1687-9120","1687-9139"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematical Physics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jnlamp:8958747","doi":null,"is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/AMP/2016/8958747.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:fcc87f321a6f457b82619832ce785306","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/fcc87f321a6f457b82619832ce785306","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Mathematical Physics, Vol 2016 (2016)","raw_type":"article"},{"id":"doi:10.60692/9x56a-y7d78","doi":"https://doi.org/10.60692/9x56a-y7d78","is_oa":true,"landing_page_url":"https://doi.org/10.60692/9x56a-y7d78","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.60692/c0kpc-tx848","doi":"https://doi.org/10.60692/c0kpc-tx848","is_oa":true,"landing_page_url":"https://doi.org/10.60692/c0kpc-tx848","pdf_url":null,"source":{"id":"https://openalex.org/S7407051682","display_name":"Greater South Information System","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1155/2016/8958747","doi":"https://doi.org/10.1155/2016/8958747","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2016/8958747","pdf_url":"https://downloads.hindawi.com/journals/amp/2016/8958747.pdf","source":{"id":"https://openalex.org/S69511584","display_name":"Advances in Mathematical Physics","issn_l":"1687-9120","issn":["1687-9120","1687-9139"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematical Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5899999737739563}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2345877267.pdf","grobid_xml":"https://content.openalex.org/works/W2345877267.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W89875752","https://openalex.org/W102943412","https://openalex.org/W1117329829","https://openalex.org/W1965030422","https://openalex.org/W1971449658","https://openalex.org/W1974300448","https://openalex.org/W1979847327","https://openalex.org/W1985075686","https://openalex.org/W2015389217","https://openalex.org/W2019991066","https://openalex.org/W2022951943","https://openalex.org/W2034964009","https://openalex.org/W2044826914","https://openalex.org/W2044834986","https://openalex.org/W2051545293","https://openalex.org/W2057755159","https://openalex.org/W2060022924","https://openalex.org/W2062684694","https://openalex.org/W2065891349","https://openalex.org/W2069002290","https://openalex.org/W2084991310","https://openalex.org/W2091837937","https://openalex.org/W2092321952","https://openalex.org/W2107495553","https://openalex.org/W2151599799","https://openalex.org/W3097988311","https://openalex.org/W3099627745","https://openalex.org/W3105745717","https://openalex.org/W4237540235","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2044787408","https://openalex.org/W4249228129","https://openalex.org/W3104927070","https://openalex.org/W629687403","https://openalex.org/W2780576240","https://openalex.org/W1996508167","https://openalex.org/W4238206434","https://openalex.org/W2897501241","https://openalex.org/W187561811","https://openalex.org/W2101766923"],"abstract_inverted_index":{"We":[0],"construct":[1],"a":[2,11,36,39,42,46,49,64,68],"very":[3],"rare":[4],"integrable":[5],"2D":[6],"mechanical":[7],"system":[8],"which":[9],"admits":[10],"complementary":[12],"integral":[13],"of":[14,23,38,58,61,63,74],"motion":[15,37,62],"cubic":[16,69],"in":[17,20,51],"the":[18,21,52],"velocities":[19],"presence":[22],"conservative":[24],"potential":[25],"and":[26,55,76],"velocity-dependent":[27],"(gyroscopic)":[28],"forces.":[29],"Special":[30],"cases":[31,60],"are":[32],"given":[33],"interpretation":[34],"as":[35],"particle":[40,50],"on":[41],"sphere":[43],"endowed":[44],"with":[45,67],"Riemannian":[47],"metric,":[48],"Euclidean":[53],"plane,":[54],"new":[56],"generalizations":[57],"two":[59],"rigid":[65],"body":[66],"integral,":[70],"known":[71],"by":[72],"names":[73],"Goriachev-Chaplygin":[75],"Goriachev.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3}],"updated_date":"2026-10-13T10:08:12.033832","created_date":"2025-10-10T00:00:00"}
