{"id":"https://openalex.org/W3036869431","doi":"https://doi.org/10.1007/s00332-021-09711-7","title":"Instability of Static Solutions of the sine-Gordon Equation on a $${\\mathcal {Y}}$$-Junction Graph with $$\\delta $$-Interaction","display_name":"Instability of Static Solutions of the sine-Gordon Equation on a $${\\mathcal {Y}}$$-Junction Graph with $$\\delta $$-Interaction","publication_year":2021,"publication_date":"2021-04-19","ids":{"openalex":"https://openalex.org/W3036869431","doi":"https://doi.org/10.1007/s00332-021-09711-7","mag":"3036869431"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-021-09711-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-021-09711-7","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2006.12398","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jaime Angulo\u00a0Pava","orcid":"https://orcid.org/0000-0002-7453-1782"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jaime Angulo\u00a0Pava","raw_affiliation_strings":["Department of Mathematics, IME-USP, Cidade Universit\u00e1ria, Rua do Mat\u00e3o 1010, S\u00e3o Paulo, SP, CEP 05508-090, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-7453-1782","affiliations":[{"raw_affiliation_string":"Department of Mathematics, IME-USP, Cidade Universit\u00e1ria, Rua do Mat\u00e3o 1010, S\u00e3o Paulo, SP, CEP 05508-090, Brazil","institution_ids":[]}]},{"author_position":"last","author":{"id":null,"display_name":"Ram\u00f3n G. Plaza","orcid":"https://orcid.org/0000-0001-8293-0006"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Ram\u00f3n G. Plaza","raw_affiliation_strings":["Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y en Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Ciudad Universitaria, Circuito Escolar s/n, C.P. 04510, Cd. de M\u00e9xico, Mexico"],"raw_orcid":"https://orcid.org/0000-0001-8293-0006","affiliations":[{"raw_affiliation_string":"Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y en Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Ciudad Universitaria, Circuito Escolar s/n, C.P. 04510, Cd. de M\u00e9xico, Mexico","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I8961855"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5251,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.62324045,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"31","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems","score":0.5830000042915344,"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"}},"topics":[{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems","score":0.5830000042915344,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.22169999778270721,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.10369999706745148,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.7243000268936157},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5497999787330627},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5128999948501587},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4546999931335449},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.43959999084472656},{"id":"https://openalex.org/keywords/perturbation-theory","display_name":"Perturbation theory (quantum mechanics)","score":0.4339999854564667},{"id":"https://openalex.org/keywords/soliton","display_name":"Soliton","score":0.4334999918937683},{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.37540000677108765},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.3684999942779541},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.3652999997138977}],"concepts":[{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.7243000268936157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6705999970436096},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5497999787330627},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5128999948501587},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5101000070571899},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4546999931335449},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.43959999084472656},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.4339999854564667},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.4334999918937683},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.37540000677108765},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.3684999942779541},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.3652999997138977},{"id":"https://openalex.org/C43466630","wikidata":"https://www.wikidata.org/wiki/Q17098945","display_name":"Linear stability","level":3,"score":0.36079999804496765},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3393999934196472},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.33889999985694885},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.33739998936653137},{"id":"https://openalex.org/C50429861","wikidata":"https://www.wikidata.org/wiki/Q3554830","display_name":"Stable manifold","level":2,"score":0.3296000063419342},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.32359999418258667},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.3163999915122986},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.3160000145435333},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3003999888896942},{"id":"https://openalex.org/C80845027","wikidata":"https://www.wikidata.org/wiki/Q15144062","display_name":"Continuous spectrum","level":2,"score":0.29980000853538513},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.2976999878883362},{"id":"https://openalex.org/C98306654","wikidata":"https://www.wikidata.org/wiki/Q2409122","display_name":"Spectral theory","level":3,"score":0.2937999963760376},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2928999960422516},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C164886730","wikidata":"https://www.wikidata.org/wiki/Q7269054","display_name":"Quantum graph","level":3,"score":0.2612000107765198},{"id":"https://openalex.org/C3019018024","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear operators","level":3,"score":0.2590999901294708},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.25859999656677246},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.25850000977516174},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2563000023365021},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00332-021-09711-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-021-09711-7","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2006.12398","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.12398","pdf_url":"https://arxiv.org/pdf/2006.12398","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2006.12398","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.12398","pdf_url":"https://arxiv.org/pdf/2006.12398","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1428192209","display_name":null,"funder_award_id":"PRONEX-E-26/010.001258/2016","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"},{"id":"https://openalex.org/G4764869184","display_name":null,"funder_award_id":"PAPIIT IN-100318","funder_id":"https://openalex.org/F4320335100","funder_display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"},{"id":"https://openalex.org/F4320335100","display_name":"Direcci\u00f3n General de Asuntos del Personal Acad\u00e9mico, Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1580423614","https://openalex.org/W1631607997","https://openalex.org/W1846332641","https://openalex.org/W1947113809","https://openalex.org/W1976932024","https://openalex.org/W1982139954","https://openalex.org/W1989700845","https://openalex.org/W2000867446","https://openalex.org/W2006365463","https://openalex.org/W2008893816","https://openalex.org/W2023043374","https://openalex.org/W2029993762","https://openalex.org/W2030255802","https://openalex.org/W2031833616","https://openalex.org/W2039545910","https://openalex.org/W2042645660","https://openalex.org/W2055343638","https://openalex.org/W2071291822","https://openalex.org/W2073072725","https://openalex.org/W2078448874","https://openalex.org/W2082983576","https://openalex.org/W2083504659","https://openalex.org/W2099329681","https://openalex.org/W2129888272","https://openalex.org/W2134001466","https://openalex.org/W2141590717","https://openalex.org/W2154950245","https://openalex.org/W2402285632","https://openalex.org/W2488599691","https://openalex.org/W2503852128","https://openalex.org/W2507789138","https://openalex.org/W2559800250","https://openalex.org/W2734235451","https://openalex.org/W2768743742","https://openalex.org/W2918084689","https://openalex.org/W2962754924","https://openalex.org/W2962808121","https://openalex.org/W3036961979","https://openalex.org/W3112308835","https://openalex.org/W3209560981","https://openalex.org/W4205232354","https://openalex.org/W4242777018","https://openalex.org/W4254818980","https://openalex.org/W4388215342"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2020-06-25T00:00:00"}
