{"id":"https://openalex.org/W2043966337","doi":"https://doi.org/10.4236/am.2014.516251","title":"Geometrodynamical Analysis to Characterize the Dynamics and Stability of a Molecular System through the Boundary of the Hill\u2019s Region","display_name":"Geometrodynamical Analysis to Characterize the Dynamics and Stability of a Molecular System through the Boundary of the Hill\u2019s Region","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2043966337","doi":"https://doi.org/10.4236/am.2014.516251","mag":"2043966337"},"language":"en","primary_location":{"id":"doi:10.4236/am.2014.516251","doi":"https://doi.org/10.4236/am.2014.516251","is_oa":true,"landing_page_url":"https://doi.org/10.4236/am.2014.516251","pdf_url":"https://content.scirp.org/pdf/am_2014091911140893.pdf","source":{"id":"https://openalex.org/S4210211746","display_name":"Applied Mathematics","issn_l":"2152-7385","issn":["2152-7385","2152-7393"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2043966337"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://content.scirp.org/pdf/am_2014091911140893.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010364145","display_name":"A. Vergel","orcid":"https://orcid.org/0000-0003-4490-1989","observed_orcids":["https://orcid.org/0000-0003-4490-1989"]},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Alberto Vergel","raw_affiliation_strings":["Grupo de Sistemas Complejos , Departamento de F\u00edsica y Mec\u00e1nica , Escuela T\u00e9cnica Superior de Ingenieros Agr\u00f3nomos , Universidad Polit\u00e9cnica de Madrid , Madrid , Spain","Technical University Of Madrid"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Sistemas Complejos , Departamento de F\u00edsica y Mec\u00e1nica , Escuela T\u00e9cnica Superior de Ingenieros Agr\u00f3nomos , Universidad Polit\u00e9cnica de Madrid , Madrid , Spain","institution_ids":["https://openalex.org/I88060688"]},{"raw_affiliation_string":"Technical University Of Madrid","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029099160","display_name":"R. M. Benito","orcid":"https://orcid.org/0000-0003-3949-8232","observed_orcids":["https://orcid.org/0000-0003-3949-8232"]},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Rosa M. Benito","raw_affiliation_strings":["Grupo de Sistemas Complejos , Departamento de F\u00edsica y Mec\u00e1nica , Escuela T\u00e9cnica Superior de Ingenieros Agr\u00f3nomos , Universidad Polit\u00e9cnica de Madrid , Madrid , Spain","Technical University Of Madrid"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Sistemas Complejos , Departamento de F\u00edsica y Mec\u00e1nica , Escuela T\u00e9cnica Superior de Ingenieros Agr\u00f3nomos , Universidad Polit\u00e9cnica de Madrid , Madrid , Spain","institution_ids":["https://openalex.org/I88060688"]},{"raw_affiliation_string":"Technical University Of Madrid","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019337230","display_name":"Juan Carlos Losada","orcid":"https://orcid.org/0000-0002-4373-603X","observed_orcids":["https://orcid.org/0000-0002-4373-603X"]},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan C. Losada","raw_affiliation_strings":["Grupo de Sistemas Complejos , Departamento de F\u00edsica y Mec\u00e1nica , Escuela T\u00e9cnica Superior de Ingenieros Agr\u00f3nomos , Universidad Polit\u00e9cnica de Madrid , Madrid , Spain","Technical University Of Madrid"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Sistemas Complejos , Departamento de F\u00edsica y Mec\u00e1nica , Escuela T\u00e9cnica Superior de Ingenieros Agr\u00f3nomos , Universidad Polit\u00e9cnica de Madrid , Madrid , Spain","institution_ids":["https://openalex.org/I88060688"]},{"raw_affiliation_string":"Technical University Of Madrid","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028197766","display_name":"F. Borondo","orcid":"https://orcid.org/0000-0003-3094-8911","observed_orcids":["https://orcid.org/0000-0003-3094-8911"]},"institutions":[{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]},{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Florentino Borondo","raw_affiliation_strings":["Departamento de Qu\u00edmica , Universidad Aut\u00f3noma de Madrid , Madrid , Spain","Instituto de Ciencias Matem\u00e1ticas (ICMAT) , Madrid , Spain","Autonomous University of Madrid"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Qu\u00edmica , Universidad Aut\u00f3noma de Madrid , Madrid , Spain","institution_ids":["https://openalex.org/I63634437"]},{"raw_affiliation_string":"Instituto de Ciencias Matem\u00e1ticas (ICMAT) , Madrid , Spain","institution_ids":["https://openalex.org/I4210157032"]},{"raw_affiliation_string":"Autonomous University of Madrid","institution_ids":["https://openalex.org/I63634437"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"05","issue":"16","first_page":"2630","last_page":"2642"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.4763000011444092,"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":0.4763000011444092,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.31299999356269836,"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/T10244","display_name":"Chaos control and synchronization","score":0.03779999911785126,"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/vibrational-modes","display_name":"vibrational modes","score":0.878000020980835},{"id":"https://openalex.org/keywords/jacobi-metric","display_name":"Jacobi metric","score":0.781000018119812},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.9290000200271606},{"id":"https://openalex.org/keywords/chaotic-trajectories","display_name":"chaotic trajectories","score":0.734000027179718},{"id":"https://openalex.org/keywords/boundary-curvature","display_name":"boundary curvature","score":0.6610000133514404},{"id":"https://openalex.org/keywords/two-dimensional-model","display_name":"two-dimensional model","score":0.5249999761581421}],"concepts":[{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6099868416786194},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.595696747303009},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5806151628494263},{"id":"https://openalex.org/C59593255","wikidata":"https://www.wikidata.org/wiki/Q901663","display_name":"Molecular dynamics","level":2,"score":0.49410441517829895},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4508100748062134},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34786611795425415},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.33819472789764404},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3325932025909424},{"id":"https://openalex.org/C159467904","wikidata":"https://www.wikidata.org/wiki/Q2001702","display_name":"Chemical physics","level":1,"score":0.327506959438324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28333407640457153},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.14601516723632812},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1294434368610382},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06880712509155273},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06442120671272278},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.4236/am.2014.516251","doi":"https://doi.org/10.4236/am.2014.516251","is_oa":true,"landing_page_url":"https://doi.org/10.4236/am.2014.516251","pdf_url":"https://content.scirp.org/pdf/am_2014091911140893.pdf","source":{"id":"https://openalex.org/S4210211746","display_name":"Applied Mathematics","issn_l":"2152-7385","issn":["2152-7385","2152-7393"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.834.9899","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.834.9899","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.scirp.org/journal/PaperDownload.aspx?paperID%3D49878","raw_type":"text"}],"best_oa_location":{"id":"doi:10.4236/am.2014.516251","doi":"https://doi.org/10.4236/am.2014.516251","is_oa":true,"landing_page_url":"https://doi.org/10.4236/am.2014.516251","pdf_url":"https://content.scirp.org/pdf/am_2014091911140893.pdf","source":{"id":"https://openalex.org/S4210211746","display_name":"Applied Mathematics","issn_l":"2152-7385","issn":["2152-7385","2152-7393"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1399721950","display_name":null,"funder_award_id":"SEV-2011-0087","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G3487970159","display_name":null,"funder_award_id":"SEV-2011-0087","funder_id":"https://openalex.org/F4320312059","funder_display_name":"Instituto de Ciencias Matem\u00e1ticas"},{"id":"https://openalex.org/G3825852721","display_name":null,"funder_award_id":"MTM2012","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G8407739917","display_name":null,"funder_award_id":"MTM2012-39101","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320312059","display_name":"Instituto de Ciencias Matem\u00e1ticas","ror":"https://ror.org/05e9bn444"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2043966337.pdf","grobid_xml":"https://content.openalex.org/works/W2043966337.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W66338087","https://openalex.org/W1515392025","https://openalex.org/W1565212980","https://openalex.org/W1966723683","https://openalex.org/W1973408830","https://openalex.org/W1974509609","https://openalex.org/W1975809205","https://openalex.org/W1999535733","https://openalex.org/W2004863047","https://openalex.org/W2008539626","https://openalex.org/W2012533093","https://openalex.org/W2023131213","https://openalex.org/W2030666928","https://openalex.org/W2038026589","https://openalex.org/W2039470150","https://openalex.org/W2040578831","https://openalex.org/W2046210386","https://openalex.org/W2054363764","https://openalex.org/W2055085818","https://openalex.org/W2055161878","https://openalex.org/W2059884603","https://openalex.org/W2070311015","https://openalex.org/W2078231621","https://openalex.org/W2085496255","https://openalex.org/W2090602755","https://openalex.org/W2118350702","https://openalex.org/W2127143993","https://openalex.org/W2128454427","https://openalex.org/W2135425748","https://openalex.org/W2152175182","https://openalex.org/W2157528880","https://openalex.org/W2312378499","https://openalex.org/W2323408555","https://openalex.org/W3038420293","https://openalex.org/W3098280016"],"related_works":["https://openalex.org/W2323408555","https://openalex.org/W4400061174","https://openalex.org/W4253147737","https://openalex.org/W2090602755","https://openalex.org/W2056925732","https://openalex.org/W4296986249","https://openalex.org/W2140770698","https://openalex.org/W2975098162","https://openalex.org/W1968879094","https://openalex.org/W4283167698"],"abstract_inverted_index":{"In":[0],"this":[1,55,84],"paper":[2],"we":[3],"study":[4],"the":[5,14,17,23,27,32,51,63,66,73,76,81,87],"dynamics":[6,74],"and":[7,47],"stability":[8,88],"of":[9,16,22,54,65,75,80,83,89],"a":[10],"two-dimensional":[11],"model":[12],"for":[13,39,86],"vibrations":[15],"LiCN":[18],"molecule":[19],"making":[20],"use":[21],"Riemannian":[24],"geometry":[25],"via":[26],"Jacobi-Levi-Civita":[28],"equations":[29],"applied":[30],"to":[31,44,71],"Jacobi":[33],"metric.":[34],"The":[35,78],"Stability":[36],"Geometrical":[37],"Indicator":[38],"short":[40],"times":[41],"is":[42,94],"calculated":[43],"locate":[45],"regular":[46],"chaotic":[48],"trajectories":[49,58,90],"as":[50],"relative":[52],"extrema":[53],"indicator.":[56],"Only":[57],"with":[59],"initial":[60],"conditions":[61],"at":[62],"boundary":[64,85],"Hill\u2019s":[67],"region":[68],"are":[69],"considered":[70],"characterize":[72],"system.":[77],"importance":[79],"curvature":[82],"bouncing":[91],"on":[92],"it":[93],"also":[95],"discussed.":[96]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
