{"id":"https://openalex.org/W2066651881","doi":"https://doi.org/10.1145/1140378.1140386","title":"Stability of expanding homographic configurations","display_name":"Stability of expanding homographic configurations","publication_year":2005,"publication_date":"2005-12-01","ids":{"openalex":"https://openalex.org/W2066651881","doi":"https://doi.org/10.1145/1140378.1140386","mag":"2066651881"},"language":"en","primary_location":{"id":"doi:10.1145/1140378.1140386","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1140378.1140386","pdf_url":null,"source":{"id":"https://openalex.org/S4210226623","display_name":"ACM SIGSAM Bulletin","issn_l":"0163-5824","issn":["0163-5824","1557-9492"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGSAM Bulletin","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/A5045971347","display_name":"Aleksandr Myll\u00e4ri","orcid":null},"institutions":[{"id":"https://openalex.org/I130217899","display_name":"\u00c5bo Akademi University","ror":"https://ror.org/029pk6x14","country_code":"FI","type":"education","lineage":["https://openalex.org/I130217899"]},{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Aleksandr Myll\u00e4ri","raw_affiliation_strings":["University of Turku, Turku, Finland and \u00c5bo Akademi University, \u00c5bo, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Turku, Turku, Finland and \u00c5bo Akademi University, \u00c5bo, Finland","institution_ids":["https://openalex.org/I130217899","https://openalex.org/I155660961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045971347"],"corresponding_institution_ids":["https://openalex.org/I130217899","https://openalex.org/I155660961"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15316195,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"39","issue":"4","first_page":"136","last_page":"138"},"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":0.907800018787384,"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":0.907800018787384,"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/polyhedron","display_name":"Polyhedron","score":0.7186813354492188},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7018587589263916},{"id":"https://openalex.org/keywords/linear-stability","display_name":"Linear stability","score":0.44215965270996094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4407731890678406},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.40331828594207764},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3630527853965759},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.35047370195388794},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.32200318574905396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3135135769844055},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2529332637786865}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.7186813354492188},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7018587589263916},{"id":"https://openalex.org/C43466630","wikidata":"https://www.wikidata.org/wiki/Q17098945","display_name":"Linear stability","level":3,"score":0.44215965270996094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4407731890678406},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40331828594207764},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3630527853965759},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.35047370195388794},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.32200318574905396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3135135769844055},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2529332637786865},{"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:10.1145/1140378.1140386","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1140378.1140386","pdf_url":null,"source":{"id":"https://openalex.org/S4210226623","display_name":"ACM SIGSAM Bulletin","issn_l":"0163-5824","issn":["0163-5824","1557-9492"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGSAM Bulletin","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322400","display_name":"Magnus Ehrnroothin S\u00e4\u00e4ti\u00f6","ror":"https://ror.org/02cdzet69"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W3215067209"],"related_works":["https://openalex.org/W2916043681","https://openalex.org/W2896131632","https://openalex.org/W2522231841","https://openalex.org/W2391438543","https://openalex.org/W2023071919","https://openalex.org/W1976659209","https://openalex.org/W2095475364","https://openalex.org/W2014223682","https://openalex.org/W2048264976","https://openalex.org/W2076569899"],"abstract_inverted_index":{"Stability":[0],"of":[1,8,15,30,50],"expanding":[2],"homographic":[3],"configurations":[4],"formed":[5],"by":[6],"bodies":[7],"equal":[9],"masses":[10],"placed":[11],"at":[12],"the":[13,27,31],"vertices":[14],"regular":[16],"polyhedrons":[17],"is":[18],"considered":[19,34],"in":[20,42],"linear":[21],"approximation.":[22],"Perturbations":[23],"growing":[24],"faster":[25],"than":[26],"general":[28],"expansion":[29],"system":[32],"are":[33,40,53],"to":[35,46],"be":[36],"unstable.":[37],"These":[38],"instabilities":[39],"studied":[41],"detail.":[43],"Different":[44],"ways":[45],"visualize":[47],"3D":[48],"structure":[49],"unstable":[51],"modes":[52],"discussed.":[54]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}