{"id":"https://openalex.org/W3095797547","doi":"https://doi.org/10.1142/s0218127420501977","title":"A New Formulation of a H\u00e9non\u2013Heiles Potential with Additional Singular Gravitational Terms","display_name":"A New Formulation of a H\u00e9non\u2013Heiles Potential with Additional Singular Gravitational Terms","publication_year":2020,"publication_date":"2020-10-01","ids":{"openalex":"https://openalex.org/W3095797547","doi":"https://doi.org/10.1142/s0218127420501977","mag":"3095797547"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127420501977","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420501977","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10045/110153","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074079045","display_name":"Euaggelos E. Zotos","orcid":"https://orcid.org/0000-0002-1565-4467"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Euaggelos E. Zotos","raw_affiliation_strings":["Department of Physics, School of Science, Aristotle University of Thessaloniki, GR-541 24, Thessaloniki, Greece"],"raw_orcid":"https://orcid.org/0000-0002-1565-4467","affiliations":[{"raw_affiliation_string":"Department of Physics, School of Science, Aristotle University of Thessaloniki, GR-541 24, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103176295","display_name":"Wei Chen","orcid":"https://orcid.org/0000-0002-2035-9737"},"institutions":[{"id":"https://openalex.org/I4210136793","display_name":"Peng Cheng Laboratory","ror":"https://ror.org/03qdqbt06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210136793"]},{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Chen","raw_affiliation_strings":["Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing 100191, P. R. China","LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, P. R. China","Peng Cheng Laboratory, Shenzhen, Guangdong 518055, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing 100191, P. R. China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, P. R. China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"Peng Cheng Laboratory, Shenzhen, Guangdong 518055, P. R. China","institution_ids":["https://openalex.org/I4210136793"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000693269","display_name":"Juan F. Navarro","orcid":"https://orcid.org/0000-0002-5898-2786"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan F. Navarro","raw_affiliation_strings":["Department of Applied Mathematics, University of Alicante, Carretera San Vicente del Raspeig s/n, 03690, Alicante, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Alicante, Carretera San Vicente del Raspeig s/n, 03690, Alicante, Spain","institution_ids":["https://openalex.org/I130194489"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012641009","display_name":"Tareq Saeed","orcid":"https://orcid.org/0000-0002-0170-5286"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Tareq Saeed","raw_affiliation_strings":["Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074079045"],"corresponding_institution_ids":["https://openalex.org/I21370196"],"apc_list":null,"apc_paid":null,"fwci":0.801,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.71641938,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"30","issue":"13","first_page":"2050197","last_page":"2050197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9993000030517578,"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/T10325","display_name":"Astro and Planetary Science","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/test-particle","display_name":"Test particle","score":0.8028824925422668},{"id":"https://openalex.org/keywords/massless-particle","display_name":"Massless particle","score":0.6552271842956543},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6157776117324829},{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.5890613794326782},{"id":"https://openalex.org/keywords/gravitational-potential","display_name":"Gravitational potential","score":0.5673608183860779},{"id":"https://openalex.org/keywords/gravitation","display_name":"Gravitation","score":0.5448614358901978},{"id":"https://openalex.org/keywords/collision","display_name":"Collision","score":0.5262945294380188},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4924081563949585},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.44736552238464355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21808436512947083},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.2059173583984375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1789071261882782},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11674246191978455}],"concepts":[{"id":"https://openalex.org/C32127712","wikidata":"https://www.wikidata.org/wiki/Q3366867","display_name":"Test particle","level":2,"score":0.8028824925422668},{"id":"https://openalex.org/C54937798","wikidata":"https://www.wikidata.org/wiki/Q2024141","display_name":"Massless particle","level":2,"score":0.6552271842956543},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6157776117324829},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.5890613794326782},{"id":"https://openalex.org/C127090403","wikidata":"https://www.wikidata.org/wiki/Q1544012","display_name":"Gravitational potential","level":3,"score":0.5673608183860779},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.5448614358901978},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.5262945294380188},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4924081563949585},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.44736552238464355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21808436512947083},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2059173583984375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1789071261882782},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11674246191978455},{"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:10.1142/s0218127420501977","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420501977","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"},{"id":"pmh:oai:dnet:ruarepositor::a9d6e1db73b4019d4dc84304b4cc1478","is_oa":true,"landing_page_url":"http://hdl.handle.net/10045/110153","pdf_url":"http://hdl.handle.net/10045/110153","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dnet:ruarepositor::a9d6e1db73b4019d4dc84304b4cc1478","is_oa":true,"landing_page_url":"http://hdl.handle.net/10045/110153","pdf_url":"http://hdl.handle.net/10045/110153","source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3095797547.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W33851185","https://openalex.org/W174887282","https://openalex.org/W1965017705","https://openalex.org/W1979713368","https://openalex.org/W1982482543","https://openalex.org/W1994006347","https://openalex.org/W2007127117","https://openalex.org/W2017405578","https://openalex.org/W2022938336","https://openalex.org/W2030971156","https://openalex.org/W2036186127","https://openalex.org/W2052618094","https://openalex.org/W2057001158","https://openalex.org/W2061623084","https://openalex.org/W2072381121","https://openalex.org/W2072549489","https://openalex.org/W2084031742","https://openalex.org/W2088796586","https://openalex.org/W2091586502","https://openalex.org/W2092883413","https://openalex.org/W2102080051","https://openalex.org/W2139358335","https://openalex.org/W2170453407","https://openalex.org/W2329719292","https://openalex.org/W2460141018","https://openalex.org/W2561998354","https://openalex.org/W2594141678","https://openalex.org/W2754324037","https://openalex.org/W2802822095","https://openalex.org/W2885276484","https://openalex.org/W2945761166","https://openalex.org/W2996852232","https://openalex.org/W3098097796","https://openalex.org/W3098906483","https://openalex.org/W3101369375","https://openalex.org/W3168787274"],"related_works":["https://openalex.org/W3100377814","https://openalex.org/W1823359270","https://openalex.org/W3134784211","https://openalex.org/W2962956804","https://openalex.org/W2810858986","https://openalex.org/W1480074254","https://openalex.org/W2067108811","https://openalex.org/W2988506060","https://openalex.org/W2027632372","https://openalex.org/W4378227395"],"abstract_inverted_index":{"We":[0,75],"examine":[1],"the":[2,26,30,36,40,44,51,67,73,78,81,87,90],"orbital":[3,32],"dynamics":[4,42],"in":[5],"a":[6],"new":[7],"H\u00e9non\u2013Heiles":[8],"system":[9],"with":[10,35,60],"an":[11],"additional":[12],"gravitational":[13],"potential,":[14],"by":[15],"classifying":[16],"sets":[17],"of":[18,21,43,54,70,72,80],"starting":[19],"conditions":[20],"trajectories.":[22],"Specifically,":[23],"we":[24,63],"obtain":[25],"results":[27],"on":[28,86],"how":[29],"total":[31],"energy":[33,88],"along":[34],"transition":[37,91],"parameter":[38],"influence":[39],"overall":[41],"massless":[45],"test":[46],"particle,":[47],"as":[48,50],"well":[49],"respective":[52],"time":[53],"escape/collision.":[55],"By":[56],"using":[57],"modern":[58],"diagrams":[59],"color":[61],"codes":[62],"manage":[64],"to":[65],"present":[66],"different":[68],"types":[69],"basins":[71],"system.":[74],"show":[76],"that":[77],"character":[79],"orbits":[82],"is":[83],"highly":[84],"dependent":[85],"and":[89],"parameter.":[92]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
