{"id":"https://openalex.org/W4241403746","doi":"https://doi.org/10.1007/978-0-387-30440-3_268","title":"Hamilton\u2013Jacobi Equations and Weak KAM Theory","display_name":"Hamilton\u2013Jacobi Equations and Weak KAM Theory","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W4241403746","doi":"https://doi.org/10.1007/978-0-387-30440-3_268"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-30440-3_268","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_268","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5063853099","display_name":"Antonio Siconolfi","orcid":"https://orcid.org/0000-0002-6111-6109"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Antonio Siconolfi","raw_affiliation_strings":["Dip. di Matematica, \u201cLa Sapienza\u201d Universit\u00e0 di Roma, Roma, Italy","Dip. di Matematica, \"La Sapienza\" Universit\u00e0 di Roma, Roma, Italy"],"affiliations":[{"raw_affiliation_string":"Dip. di Matematica, \u201cLa Sapienza\u201d Universit\u00e0 di Roma, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dip. di Matematica, \"La Sapienza\" Universit\u00e0 di Roma, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063853099"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":null,"apc_paid":null,"fwci":1.42739521,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.86988458,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"4540","last_page":"4561"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.998199999332428,"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":0.998199999332428,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.965499997138977,"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/hamilton\u2013jacobi-equation","display_name":"Hamilton\u2013Jacobi equation","score":0.7341980934143066},{"id":"https://openalex.org/keywords/kolmogorov\u2013arnold\u2013moser-theorem","display_name":"Kolmogorov\u2013Arnold\u2013Moser theorem","score":0.7051306962966919},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38322803378105164},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36736470460891724},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.31339001655578613},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.1546992063522339}],"concepts":[{"id":"https://openalex.org/C2778860007","wikidata":"https://www.wikidata.org/wiki/Q1060137","display_name":"Hamilton\u2013Jacobi equation","level":2,"score":0.7341980934143066},{"id":"https://openalex.org/C8522634","wikidata":"https://www.wikidata.org/wiki/Q587081","display_name":"Kolmogorov\u2013Arnold\u2013Moser theorem","level":3,"score":0.7051306962966919},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38322803378105164},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36736470460891724},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.31339001655578613},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.1546992063522339}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-30440-3_268","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_268","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W646794073","https://openalex.org/W1487586009","https://openalex.org/W1551360398","https://openalex.org/W1967120384","https://openalex.org/W1982454593","https://openalex.org/W2002279673","https://openalex.org/W2013338783","https://openalex.org/W2040339150","https://openalex.org/W2041357275","https://openalex.org/W2048172242","https://openalex.org/W2053068479","https://openalex.org/W2055173039","https://openalex.org/W2074209345","https://openalex.org/W2079895693","https://openalex.org/W2086763898","https://openalex.org/W2120378838","https://openalex.org/W3015340070","https://openalex.org/W4210647142","https://openalex.org/W4290423767"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4252617802","https://openalex.org/W2464610448","https://openalex.org/W2170859749","https://openalex.org/W1893827264","https://openalex.org/W4368367340","https://openalex.org/W4213140662","https://openalex.org/W2327040142","https://openalex.org/W3138883899","https://openalex.org/W2949354914"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
