{"id":"https://openalex.org/W3097701213","doi":"https://doi.org/10.1142/s1793830921500233","title":"Complete transition diagrams of generic Hamiltonian flows with a few heteroclinic orbits","display_name":"Complete transition diagrams of generic Hamiltonian flows with a few heteroclinic orbits","publication_year":2020,"publication_date":"2020-09-16","ids":{"openalex":"https://openalex.org/W3097701213","doi":"https://doi.org/10.1142/s1793830921500233","mag":"3097701213"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921500233","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s1793830921500233","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1142/s1793830921500233","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027875545","display_name":"Tetsuo Yokoyama","orcid":"https://orcid.org/0000-0002-7677-143X"},"institutions":[{"id":"https://openalex.org/I4210129581","display_name":"Kyoto University of Education","ror":"https://ror.org/03zhhr656","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210129581"]},{"id":"https://openalex.org/I119031078","display_name":"Nanzan University","ror":"https://ror.org/042b6j696","country_code":"JP","type":"education","lineage":["https://openalex.org/I119031078"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tetsuo Yokoyama","raw_affiliation_strings":["Department of Mathematics, Kyoto University of Education/JST PRESTO, 1 Fujinomori, Fukakusa, Fushimi-ku, Kyoto 612-8522, Japan","Department of Software Engineering, Nanzan University, Yamazato-cho 18, Showa-ku, Nagoya, Aichi 466-8673, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kyoto University of Education/JST PRESTO, 1 Fujinomori, Fukakusa, Fushimi-ku, Kyoto 612-8522, Japan","institution_ids":["https://openalex.org/I4210129581"]},{"raw_affiliation_string":"Department of Software Engineering, Nanzan University, Yamazato-cho 18, Showa-ku, Nagoya, Aichi 466-8673, Japan","institution_ids":["https://openalex.org/I119031078"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103268083","display_name":"Tomoo Yokoyama","orcid":"https://orcid.org/0009-0000-2604-6750"},"institutions":[{"id":"https://openalex.org/I4210129581","display_name":"Kyoto University of Education","ror":"https://ror.org/03zhhr656","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210129581"]},{"id":"https://openalex.org/I119031078","display_name":"Nanzan University","ror":"https://ror.org/042b6j696","country_code":"JP","type":"education","lineage":["https://openalex.org/I119031078"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Tomoo Yokoyama","raw_affiliation_strings":["Department of Mathematics, Kyoto University of Education/JST PRESTO, 1 Fujinomori, Fukakusa, Fushimi-ku, Kyoto 612-8522, Japan","Department of Software Engineering, Nanzan University, Yamazato-cho 18, Showa-ku, Nagoya, Aichi 466-8673, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kyoto University of Education/JST PRESTO, 1 Fujinomori, Fukakusa, Fushimi-ku, Kyoto 612-8522, Japan","institution_ids":["https://openalex.org/I4210129581"]},{"raw_affiliation_string":"Department of Software Engineering, Nanzan University, Yamazato-cho 18, Showa-ku, Nagoya, Aichi 466-8673, Japan","institution_ids":["https://openalex.org/I119031078"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103268083"],"corresponding_institution_ids":["https://openalex.org/I119031078","https://openalex.org/I4210129581"],"apc_list":null,"apc_paid":null,"fwci":0.7894,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69547404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"13","issue":"02","first_page":"2150023","last_page":"2150023"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9955000281333923,"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":0.9955000281333923,"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":0.9941999912261963,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9817000031471252,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6554109454154968},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5997747778892517},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.42629826068878174},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34866008162498474},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.09177401661872864}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6554109454154968},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5997747778892517},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42629826068878174},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34866008162498474},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.09177401661872864}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830921500233","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s1793830921500233","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1142/s1793830921500233","is_oa":true,"landing_page_url":"https://doi.org/10.1142/s1793830921500233","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8353990030","display_name":null,"funder_award_id":"JPMJPR16E","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"}],"funders":[{"id":"https://openalex.org/F4320334789","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W137457877","https://openalex.org/W588832852","https://openalex.org/W622795971","https://openalex.org/W1013212812","https://openalex.org/W1984229282","https://openalex.org/W2012140001","https://openalex.org/W2027871836","https://openalex.org/W2033628878","https://openalex.org/W2066059561"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W2017331178","https://openalex.org/W2964072617","https://openalex.org/W2976797620","https://openalex.org/W2260035625","https://openalex.org/W2559087450","https://openalex.org/W2582950667","https://openalex.org/W1973150467","https://openalex.org/W4214740985","https://openalex.org/W2021953975"],"abstract_inverted_index":{"We":[0,51],"study":[1],"the":[2,13,26,30,49,57,92],"transition":[3,31,59,72,93],"graph":[4,60],"of":[5,17,38,61,74,103,118],"generic":[6,18,27,39,63],"Hamiltonian":[7,19,40,64,75,97,119],"surface":[8,20,41,76,98,120],"flows,":[9],"whose":[10,23],"vertices":[11],"are":[12,25],"topological":[14],"equivalence":[15],"classes":[16],"flows":[21,42,77,99],"and":[22,80],"edges":[24],"transitions.":[28],"Using":[29],"graph,":[32],"we":[33,68,85],"can":[34,106],"describe":[35],"time":[36],"evaluations":[37],"(e.g.,":[43],"fluid":[44],"phenomena)":[45],"as":[46],"walks":[47],"on":[48,91],"graph.":[50],"propose":[52],"a":[53,88],"method":[54],"for":[55],"constructing":[56],"complete":[58,71],"all":[62],"flows.":[65,121],"In":[66],"fact,":[67],"construct":[69],"two":[70,96],"graphs":[73],"having":[78],"three":[79],"four":[81],"genus":[82,104],"elements.":[83],"Moreover,":[84],"demonstrate":[86],"that":[87],"lower":[89],"bound":[90],"distance":[94],"between":[95],"with":[100],"any":[101],"number":[102],"elements":[105],"be":[107],"calculated":[108],"by":[109],"solving":[110],"an":[111],"integer":[112],"programming":[113],"problem":[114],"using":[115],"vector":[116],"representations":[117]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}