{"id":"https://openalex.org/W2801458072","doi":"https://doi.org/10.3390/sym10040121","title":"Stability of Bounded Dynamical Networks with Symmetry","display_name":"Stability of Bounded Dynamical Networks with Symmetry","publication_year":2018,"publication_date":"2018-04-19","ids":{"openalex":"https://openalex.org/W2801458072","doi":"https://doi.org/10.3390/sym10040121","mag":"2801458072"},"language":"en","primary_location":{"id":"doi:10.3390/sym10040121","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10040121","pdf_url":"https://www.mdpi.com/2073-8994/10/4/121/pdf","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/10/4/121/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035637270","display_name":"Ioannis Dassios","orcid":"https://orcid.org/0000-0001-8763-8741"},"institutions":[{"id":"https://openalex.org/I100930933","display_name":"University College Dublin","ror":"https://ror.org/05m7pjf47","country_code":"IE","type":"education","lineage":["https://openalex.org/I100930933"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Ioannis K. Dassios","raw_affiliation_strings":["ESIPP, University College Dublin, Dublin 4, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ESIPP, University College Dublin, Dublin 4, Ireland","institution_ids":["https://openalex.org/I100930933"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035637270"],"corresponding_institution_ids":["https://openalex.org/I100930933"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.2652,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.89368388,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"10","issue":"4","first_page":"121","last_page":"121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991000294685364,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991000294685364,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6992253065109253},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.680480420589447},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.6471902132034302},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6124762892723083},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5692129731178284},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5564692616462708},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.5020339488983154},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.46983596682548523},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43882817029953003},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4122482240200043},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3781309723854065},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3592407703399658},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31844934821128845},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26017338037490845},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.23510223627090454},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16125816106796265}],"concepts":[{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6992253065109253},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.680480420589447},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.6471902132034302},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6124762892723083},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5692129731178284},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5564692616462708},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5020339488983154},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.46983596682548523},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43882817029953003},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4122482240200043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3781309723854065},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3592407703399658},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31844934821128845},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26017338037490845},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.23510223627090454},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16125816106796265},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/sym10040121","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10040121","pdf_url":"https://www.mdpi.com/2073-8994/10/4/121/pdf","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:researchrepository.ucd.ie:10197/10552","is_oa":true,"landing_page_url":"http://hdl.handle.net/10197/10552","pdf_url":"http://hdl.handle.net/10197/10552","source":{"id":"https://openalex.org/S4306402280","display_name":"Research Repository UCD (University College Dublin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I100930933","host_organization_name":"University College Dublin","host_organization_lineage":["https://openalex.org/I100930933"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:doaj.org/article:0cf6b9b4061d443693b56888f753a3ef","is_oa":true,"landing_page_url":"https://doaj.org/article/0cf6b9b4061d443693b56888f753a3ef","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 10, Iss 4, p 121 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/10/4/121/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym10040121","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry; Volume 10; Issue 4; Pages: 121","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym10040121","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10040121","pdf_url":"https://www.mdpi.com/2073-8994/10/4/121/pdf","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6899999976158142,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1217764196","display_name":"Energy Systems Integration Partnership Programme (ESIPP)","funder_award_id":"15/SPP/E3125","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"},{"id":"https://openalex.org/G2333306622","display_name":null,"funder_award_id":"SFI/15/SPP/E3125","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"},{"id":"https://openalex.org/G3932902578","display_name":null,"funder_award_id":"SFI/15/SPP/","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"}],"funders":[{"id":"https://openalex.org/F4320320847","display_name":"Science Foundation Ireland","ror":"https://ror.org/0271asj38"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2801458072.pdf","grobid_xml":"https://content.openalex.org/works/W2801458072.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1774916637","https://openalex.org/W1813083236","https://openalex.org/W1964148593","https://openalex.org/W1972202466","https://openalex.org/W1986084763","https://openalex.org/W1995486301","https://openalex.org/W1996324409","https://openalex.org/W2020917640","https://openalex.org/W2042188981","https://openalex.org/W2046266721","https://openalex.org/W2059060046","https://openalex.org/W2062999302","https://openalex.org/W2074166128","https://openalex.org/W2114041672","https://openalex.org/W2122658551","https://openalex.org/W2123350836","https://openalex.org/W2141613484","https://openalex.org/W2243941621","https://openalex.org/W2292976442","https://openalex.org/W2788856684","https://openalex.org/W2962840681","https://openalex.org/W3101588039","https://openalex.org/W3102454444"],"related_works":["https://openalex.org/W2348909947","https://openalex.org/W4292672442","https://openalex.org/W2362101859","https://openalex.org/W2791431590","https://openalex.org/W2941610985","https://openalex.org/W4235810826","https://openalex.org/W3013085049","https://openalex.org/W2010009304","https://openalex.org/W3000105423","https://openalex.org/W2350688482"],"abstract_inverted_index":{"Motivated":[0],"by":[1,25],"dynamical":[2,19],"models":[3],"describing":[4],"phase":[5],"separation":[6],"and":[7,38,71,107],"the":[8,16,36,40,44,48,54,69,74,91,100,104,114,117],"motion":[9],"of":[10,18,56,76,79,83,96,113,116],"interfaces":[11],"separating":[12],"phases,":[13],"we":[14,51,98],"study":[15,108],"stability":[17,110],"networks":[20],"in":[21,111],"planar":[22],"domains":[23],"formed":[24],"triple":[26,61],"junctions.":[27],"We":[28],"take":[29],"into":[30],"account":[31],"symmetry,":[32],"angle-intersection":[33],"conditions":[34],"at":[35,39,42],"junctions":[37,62],"points":[41],"which":[43],"curves":[45],"intersect":[46],"with":[47,81],"boundary.":[49,92,118],"Firstly,":[50],"focus":[52],"on":[53,73],"case":[55,75],"a":[57,77],"network":[58,78],"where":[59],"two":[60],"have":[63],"all":[64,86],"their":[65,109],"branches":[66,88],"unattached":[67,89],"to":[68,90],"boundary":[70],"then":[72],"hexagons,":[80],"one":[82],"them":[84],"having":[85],"its":[87],"For":[93],"both":[94],"type":[95],"networks,":[97],"introduce":[99],"evolution":[101],"problem,":[102],"identify":[103],"steady":[105],"states":[106],"terms":[112],"geometry":[115]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}
