{"id":"https://openalex.org/W2997985518","doi":"https://doi.org/10.1007/s11424-019-8334-6","title":"Approximate Solutions to the Hamilton-Jacobi Equations for Generating Functions","display_name":"Approximate Solutions to the Hamilton-Jacobi Equations for Generating Functions","publication_year":2019,"publication_date":"2019-12-25","ids":{"openalex":"https://openalex.org/W2997985518","doi":"https://doi.org/10.1007/s11424-019-8334-6","mag":"2997985518"},"language":"en","primary_location":{"id":"doi:10.1007/s11424-019-8334-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-019-8334-6","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Systems Science and Complexity","raw_type":"journal-article"},"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/A5101432633","display_name":"Zhiwei Hao","orcid":"https://orcid.org/0000-0001-7869-9139"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiwei Hao","raw_affiliation_strings":["Department of Astronautical Science and Mechanics, Harbin Institute of Technology, Harbin, 150001, China"],"affiliations":[{"raw_affiliation_string":"Department of Astronautical Science and Mechanics, Harbin Institute of Technology, Harbin, 150001, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037036162","display_name":"Kenji Fujimoto","orcid":"https://orcid.org/0000-0001-6345-4884"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4210140509","display_name":"Kyoto Katsura Hospital","ror":"https://ror.org/04w3ve464","country_code":"JP","type":"healthcare","lineage":["https://openalex.org/I4210140509"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kenji Fujimoto","raw_affiliation_strings":["Department of Aeronautics and Astronautics, Kyoto University, C 3 Bldg., Kyotodaigaku-katsura, Nishikyo-ku, Kyoto, 615-8540, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Aeronautics and Astronautics, Kyoto University, C 3 Bldg., Kyotodaigaku-katsura, Nishikyo-ku, Kyoto, 615-8540, Japan","institution_ids":["https://openalex.org/I4210140509","https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087449032","display_name":"Qiuhua Zhang","orcid":"https://orcid.org/0009-0005-7520-3966"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiuhua Zhang","raw_affiliation_strings":["Department of Astronautical Science and Mechanics, Harbin Institute of Technology, Harbin, 150001, China"],"affiliations":[{"raw_affiliation_string":"Department of Astronautical Science and Mechanics, Harbin Institute of Technology, Harbin, 150001, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037036162"],"corresponding_institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210140509"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3991,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67140254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"33","issue":"2","first_page":"261","last_page":"288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9905999898910522,"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"}},{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9879000186920166,"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/complex-system","display_name":"Complex system","score":0.844959020614624},{"id":"https://openalex.org/keywords/hamilton\u2013jacobi-equation","display_name":"Hamilton\u2013Jacobi equation","score":0.6784684658050537},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5073873400688171},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4906438887119293},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2627873420715332},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10387080907821655}],"concepts":[{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.844959020614624},{"id":"https://openalex.org/C2778860007","wikidata":"https://www.wikidata.org/wiki/Q1060137","display_name":"Hamilton\u2013Jacobi equation","level":2,"score":0.6784684658050537},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5073873400688171},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4906438887119293},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2627873420715332},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10387080907821655}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11424-019-8334-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-019-8334-6","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Systems Science and Complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W47669410","https://openalex.org/W1510003436","https://openalex.org/W1587510750","https://openalex.org/W2002607811","https://openalex.org/W2012160302","https://openalex.org/W2013596005","https://openalex.org/W2014575627","https://openalex.org/W2017840765","https://openalex.org/W2022648092","https://openalex.org/W2036739882","https://openalex.org/W2042200018","https://openalex.org/W2047090868","https://openalex.org/W2047470736","https://openalex.org/W2051691581","https://openalex.org/W2077730310","https://openalex.org/W2087599797","https://openalex.org/W2088842637","https://openalex.org/W2103864973","https://openalex.org/W2112507254","https://openalex.org/W2126479355","https://openalex.org/W2164733336","https://openalex.org/W2321052409","https://openalex.org/W2333107818","https://openalex.org/W2577663557","https://openalex.org/W2611165244","https://openalex.org/W2749408143","https://openalex.org/W2883362867","https://openalex.org/W3022938717","https://openalex.org/W3038698521","https://openalex.org/W3150565301","https://openalex.org/W4255368658"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4200506717","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
