{"id":"https://openalex.org/W2000386378","doi":"https://doi.org/10.1007/s11425-014-4803-5","title":"Analytic intermediate dimensional elliptic tori for the planetary many-body problem","display_name":"Analytic intermediate dimensional elliptic tori for the planetary many-body problem","publication_year":2014,"publication_date":"2014-03-12","ids":{"openalex":"https://openalex.org/W2000386378","doi":"https://doi.org/10.1007/s11425-014-4803-5","mag":"2000386378"},"language":"en","primary_location":{"id":"doi:10.1007/s11425-014-4803-5","doi":"https://doi.org/10.1007/s11425-014-4803-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11425-014-4803-5","pdf_url":null,"source":{"id":"https://openalex.org/S18344391","display_name":"Science China Mathematics","issn_l":"1869-1862","issn":["1869-1862","1674-7283"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science China Mathematics","raw_type":"journal-article"},"volume":null,"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/A5036667452","display_name":"Dongfeng Yan","orcid":"https://orcid.org/0000-0001-5370-347X","observed_orcids":["https://orcid.org/0000-0001-5370-347X"]},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"DongFeng Yan","raw_affiliation_strings":["School of Mathematical Sciences, Fudan University, Shanghai, China","Fudan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Fudan University","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036667452"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08287174,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"57","issue":"7","first_page":"1487","last_page":"1504"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.6654999852180481,"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":0.6654999852180481,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.22609999775886536,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.051100000739097595,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/intermediate-dimensions","display_name":"intermediate dimensions","score":0.6690000295639038},{"id":"https://openalex.org/keywords/celestial-mechanics","display_name":"celestial mechanics","score":0.7310000061988831},{"id":"https://openalex.org/keywords/gravitational-dynamics","display_name":"gravitational dynamics","score":0.3059999942779541}],"concepts":[{"id":"https://openalex.org/C8522634","wikidata":"https://www.wikidata.org/wiki/Q587081","display_name":"Kolmogorov\u2013Arnold\u2013Moser theorem","level":3,"score":0.7997424602508545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7107018232345581},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.7029018402099609},{"id":"https://openalex.org/C76941334","wikidata":"https://www.wikidata.org/wiki/Q1199050","display_name":"n-body problem","level":2,"score":0.6372547745704651},{"id":"https://openalex.org/C34725247","wikidata":"https://www.wikidata.org/wiki/Q607699","display_name":"Three-body problem","level":2,"score":0.6230091452598572},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.6124787330627441},{"id":"https://openalex.org/C27638517","wikidata":"https://www.wikidata.org/wiki/Q184274","display_name":"Celestial mechanics","level":2,"score":0.601797878742218},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.5631550550460815},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5592018961906433},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5297347903251648},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5136145949363708},{"id":"https://openalex.org/C20422478","wikidata":"https://www.wikidata.org/wiki/Q2564682","display_name":"Kepler problem","level":2,"score":0.49834346771240234},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49003899097442627},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3079560399055481},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2763793468475342},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.21866565942764282},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.21651071310043335},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1863563358783722},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07416784763336182},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11425-014-4803-5","doi":"https://doi.org/10.1007/s11425-014-4803-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11425-014-4803-5","pdf_url":null,"source":{"id":"https://openalex.org/S18344391","display_name":"Science China Mathematics","issn_l":"1869-1862","issn":["1869-1862","1674-7283"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science China Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W986312707","https://openalex.org/W1508154630","https://openalex.org/W1522062261","https://openalex.org/W1987736546","https://openalex.org/W2020887736","https://openalex.org/W2031744394","https://openalex.org/W2040396540","https://openalex.org/W2043307646","https://openalex.org/W2046382866","https://openalex.org/W2058078171","https://openalex.org/W2058622906","https://openalex.org/W2086192395","https://openalex.org/W2088035144","https://openalex.org/W2101999950","https://openalex.org/W2118875303","https://openalex.org/W2134398711","https://openalex.org/W2152673444","https://openalex.org/W2326718723","https://openalex.org/W2998496602","https://openalex.org/W3123272903","https://openalex.org/W4251839481","https://openalex.org/W4296245916"],"related_works":["https://openalex.org/W3166098286","https://openalex.org/W2786896208","https://openalex.org/W2223963887","https://openalex.org/W2802398441","https://openalex.org/W2915746389","https://openalex.org/W658616188","https://openalex.org/W1245041676","https://openalex.org/W2254795344","https://openalex.org/W2889402395","https://openalex.org/W568446611"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
