{"id":"https://openalex.org/W2010418871","doi":"https://doi.org/10.1016/j.piutam.2012.06.026","title":"A Combinatorial Framework for Analysis of Global Dynamics and Bifurcations","display_name":"A Combinatorial Framework for Analysis of Global Dynamics and Bifurcations","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2010418871","doi":"https://doi.org/10.1016/j.piutam.2012.06.026","mag":"2010418871"},"language":"en","primary_location":{"id":"doi:10.1016/j.piutam.2012.06.026","doi":"https://doi.org/10.1016/j.piutam.2012.06.026","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.piutam.2012.06.026","pdf_url":"https://www.sciencedirect.com/science/article/pii/S2210983812000867/pdf","source":{"id":"https://openalex.org/S2898384453","display_name":"Procedia IUTAM","issn_l":"2210-9838","issn":["2210-9838"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Procedia IUTAM","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.sciencedirect.com/science/article/pii/S2210983812000867/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012454190","display_name":"Hiroshi Kokubu","orcid":"https://orcid.org/0000-0003-2702-841X","observed_orcids":["https://orcid.org/0000-0003-2702-841X"]},"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/I4210086780","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19","country_code":"JP","type":"government","lineage":["https://openalex.org/I1319490839","https://openalex.org/I4210086780"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroshi Kokubu","raw_affiliation_strings":["Department of Mathematics, Kyoto University/JST-CREST, Kyoto, 606-8502, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kyoto University/JST-CREST, Kyoto, 606-8502, Japan","institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210086780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049298090","display_name":"Konstantin Mischaikow","orcid":"https://orcid.org/0000-0003-2876-4558","observed_orcids":["https://orcid.org/0000-0003-2876-4558"]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Konstantin Mischaikow","raw_affiliation_strings":["Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA","Dept. of Mathematics, Rutgers University, Piscataway, NJ 08854, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Dept. of Mathematics, Rutgers University, Piscataway, NJ 08854, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012454190"],"corresponding_institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210086780"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09361143,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":null,"first_page":"195","last_page":"198"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.492900013923645,"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":0.492900013923645,"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":0.3544999957084656,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.06300000101327896,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/global-dynamics","display_name":"global dynamics","score":0.9559999704360962},{"id":"https://openalex.org/keywords/bifurcation","display_name":"bifurcation","score":0.9679999947547913},{"id":"https://openalex.org/keywords/combinatorial-analysis","display_name":"combinatorial analysis","score":0.8320000171661377},{"id":"https://openalex.org/keywords/two-dimensional-maps","display_name":"two-dimensional maps","score":0.75},{"id":"https://openalex.org/keywords/three-dimensional-maps","display_name":"3D map","score":1.0},{"id":"https://openalex.org/keywords/age-structured-model","display_name":"age-structured population model","score":0.7820000052452087},{"id":"https://openalex.org/keywords/coupled-map-lattices","display_name":"coupled map lattices","score":0.8040000200271606},{"id":"https://openalex.org/keywords/logistic-map","display_name":"logistic map","score":0.8600000143051147},{"id":"https://openalex.org/keywords/software","display_name":"computer software","score":0.6959999799728394}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.562615156173706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5391107201576233},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.5210037231445312},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.494672030210495},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4835662543773651},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4826248586177826},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.41710686683654785},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38141578435897827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34554725885391235},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12915709614753723},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07351964712142944},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.piutam.2012.06.026","doi":"https://doi.org/10.1016/j.piutam.2012.06.026","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.piutam.2012.06.026","pdf_url":"https://www.sciencedirect.com/science/article/pii/S2210983812000867/pdf","source":{"id":"https://openalex.org/S2898384453","display_name":"Procedia IUTAM","issn_l":"2210-9838","issn":["2210-9838"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Procedia IUTAM","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.piutam.2012.06.026","doi":"https://doi.org/10.1016/j.piutam.2012.06.026","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.piutam.2012.06.026","pdf_url":"https://www.sciencedirect.com/science/article/pii/S2210983812000867/pdf","source":{"id":"https://openalex.org/S2898384453","display_name":"Procedia IUTAM","issn_l":"2210-9838","issn":["2210-9838"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Procedia IUTAM","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1617213867","display_name":null,"funder_award_id":"21340035","funder_id":"https://openalex.org/F4320338075","funder_display_name":"Core Research for Evolutional Science and Technology"},{"id":"https://openalex.org/G199983444","display_name":null,"funder_award_id":"1125174","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"},{"id":"https://openalex.org/G6217436558","display_name":null,"funder_award_id":"NSFDMS-0915019","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"},{"id":"https://openalex.org/G8170951805","display_name":null,"funder_award_id":"0835621","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320338075","display_name":"Core Research for Evolutional Science and Technology","ror":"https://ror.org/00097mb19"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2010418871.pdf","grobid_xml":"https://content.openalex.org/works/W2010418871.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W162901799","https://openalex.org/W1930538198","https://openalex.org/W1994183984","https://openalex.org/W1995257337","https://openalex.org/W2028617788","https://openalex.org/W2097894461"],"related_works":["https://openalex.org/W2336371867","https://openalex.org/W2066486319","https://openalex.org/W1562289331","https://openalex.org/W2588014082","https://openalex.org/W2608017052","https://openalex.org/W2943153726","https://openalex.org/W2256438063","https://openalex.org/W3117668405","https://openalex.org/W2940145699","https://openalex.org/W3134866631"],"abstract_inverted_index":{"A":[0],"combinatorial":[1],"framework":[2],"for":[3,22],"analyzing":[4],"global":[5],"dynamics":[6],"and":[7,20,27],"bifurcations":[8],"is":[9],"presented.":[10],"This":[11],"idea":[12],"has":[13],"been":[14],"implemented":[15],"as":[16,31],"a":[17,42],"computer":[18],"software":[19],"tested":[21],"several":[23],"examples":[24],"of":[25,45],"two":[26],"three-dimensional":[28],"maps,":[29],"such":[30],"an":[32],"age":[33],"dependent":[34],"population":[35],"model":[36],"called":[37,48],"the":[38,49],"nonlinear":[39],"Leslie":[40],"model,":[41],"coupled":[43,50],"system":[44],"logistic":[46],"maps":[47],"map":[51],"lattice,":[52],"etc.":[53]},"counts_by_year":[],"updated_date":"2026-09-25T08:18:29.962427","created_date":"2016-06-24T00:00:00"}