{"id":"https://openalex.org/W30073783","doi":"https://doi.org/10.1007/978-1-4614-9096-8_5","title":"Fixed Points: Creation and Destruction","display_name":"Fixed Points: Creation and Destruction","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W30073783","doi":"https://doi.org/10.1007/978-1-4614-9096-8_5","mag":"30073783"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4614-9096-8_5","doi":"https://doi.org/10.1007/978-1-4614-9096-8_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4614-9096-8_5","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics as a Laboratory Tool","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2483879222","display_name":"Mathematics as a Laboratory Tool"},"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/A5078550670","display_name":"JOHN G. MILTON","orcid":"https://orcid.org/0000-0001-5037-2548","observed_orcids":["https://orcid.org/0000-0001-5037-2548"]},"institutions":[{"id":"https://openalex.org/I4210161782","display_name":"W.M. Keck Science Center","ror":"https://ror.org/05sy8gb82","country_code":"US","type":"facility","lineage":["https://openalex.org/I106107269","https://openalex.org/I141778976","https://openalex.org/I16970960","https://openalex.org/I4210161782"]},{"id":"https://openalex.org/I872248612","display_name":"Claremont Colleges","ror":"https://ror.org/03xaz7s88","country_code":"US","type":"education","lineage":["https://openalex.org/I872248612"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Milton","raw_affiliation_strings":["W.M. Keck Science Department, The Claremont Colleges, Claremont, CA, USA","The Claremont Colleges"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"W.M. Keck Science Department, The Claremont Colleges, Claremont, CA, USA","institution_ids":["https://openalex.org/I4210161782","https://openalex.org/I872248612"]},{"raw_affiliation_string":"The Claremont Colleges","institution_ids":["https://openalex.org/I872248612"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013149033","display_name":"Toru Ohira","orcid":"https://orcid.org/0000-0002-4507-4885","observed_orcids":["https://orcid.org/0000-0002-4507-4885"]},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Toru Ohira","raw_affiliation_strings":["Graduate School of Mathematics, Nagoya University, Nagoya, Japan","#N##TAB##TAB##TAB##TAB# Nagoya University#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Nagoya University, Nagoya, Japan","institution_ids":["https://openalex.org/I60134161"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# Nagoya University#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I60134161"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01270718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"91","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.6182000041007996,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.6182000041007996,"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":0.09480000287294388,"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"}},{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.08489999920129776,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fixed-points","display_name":"fixed points","score":0.9649999737739563},{"id":"https://openalex.org/keywords/equilibrium","display_name":"equilibrium","score":0.5009999871253967},{"id":"https://openalex.org/keywords/steady-state","display_name":"steady state","score":0.953000009059906},{"id":"https://openalex.org/keywords/stability","display_name":"stability","score":0.609000027179718},{"id":"https://openalex.org/keywords/bifurcation","display_name":"bifurcation","score":0.8650000095367432},{"id":"https://openalex.org/keywords/parameter-variation","display_name":"parameter variation","score":0.6790000200271606},{"id":"https://openalex.org/keywords/eigenvalues","display_name":"eigenvalues","score":0.875},{"id":"https://openalex.org/keywords/dynamical-systems","display_name":"dynamical systems","score":0.8690000176429749}],"concepts":[{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.8734936118125916},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6469282507896423},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.566144585609436},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5376878976821899},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5338987112045288},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.45363929867744446},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.43962401151657104},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.422904908657074},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36690759658813477},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34049975872039795},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2969406843185425},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14050555229187012},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0822063684463501},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07615050673484802},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4614-9096-8_5","doi":"https://doi.org/10.1007/978-1-4614-9096-8_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4614-9096-8_5","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics as a Laboratory Tool","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W200246333","https://openalex.org/W330247109","https://openalex.org/W644441850","https://openalex.org/W1482438820","https://openalex.org/W1535277709","https://openalex.org/W1549251788","https://openalex.org/W1576838367","https://openalex.org/W1579842596","https://openalex.org/W1876456565","https://openalex.org/W1970092042","https://openalex.org/W1970788578","https://openalex.org/W1979833850","https://openalex.org/W1986252988","https://openalex.org/W1986472186","https://openalex.org/W1992450291","https://openalex.org/W1998379200","https://openalex.org/W1999424664","https://openalex.org/W2009375605","https://openalex.org/W2013891011","https://openalex.org/W2019314561","https://openalex.org/W2025216662","https://openalex.org/W2030883999","https://openalex.org/W2035517568","https://openalex.org/W2049297416","https://openalex.org/W2061191702","https://openalex.org/W2071788666","https://openalex.org/W2080018957","https://openalex.org/W2089876099","https://openalex.org/W2090359786","https://openalex.org/W2090397175","https://openalex.org/W2093452539","https://openalex.org/W2094273895","https://openalex.org/W2094753812","https://openalex.org/W2094829840","https://openalex.org/W2113655662","https://openalex.org/W2133904834","https://openalex.org/W2142676005","https://openalex.org/W2164653071","https://openalex.org/W2167349370","https://openalex.org/W2320488363","https://openalex.org/W2895207104","https://openalex.org/W3020825243","https://openalex.org/W3213748537","https://openalex.org/W4206511281","https://openalex.org/W4241062822","https://openalex.org/W4246667848","https://openalex.org/W4255777804","https://openalex.org/W4299870202","https://openalex.org/W4300059230","https://openalex.org/W6632840072","https://openalex.org/W6639355426"],"related_works":["https://openalex.org/W4229551063","https://openalex.org/W1125434192","https://openalex.org/W169739090","https://openalex.org/W3116767600","https://openalex.org/W3016400107","https://openalex.org/W4241813421","https://openalex.org/W4200367451","https://openalex.org/W2740632457","https://openalex.org/W2182905939","https://openalex.org/W4251001507"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
