{"id":"https://openalex.org/W2754777107","doi":"https://doi.org/10.1137/16m1069729","title":"Existence and Asymptotic Stability of Quasi-Periodic Solutions of Discrete NLS with Potential","display_name":"Existence and Asymptotic Stability of Quasi-Periodic Solutions of Discrete NLS with Potential","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2754777107","doi":"https://doi.org/10.1137/16m1069729","mag":"2754777107"},"language":"en","primary_location":{"id":"doi:10.1137/16m1069729","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1069729","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","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/A5057388191","display_name":"Masaya Maeda","orcid":"https://orcid.org/0000-0003-2404-7543"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Masaya Maeda","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057388191"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8681,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.73292923,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"49","issue":"5","first_page":"3396","last_page":"3426"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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":0.9965000152587891,"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/mathematics","display_name":"Mathematics","score":0.8166124224662781},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6304962635040283},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6185829043388367},{"id":"https://openalex.org/keywords/nls","display_name":"NLS","score":0.5982271432876587},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5868844985961914},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33689820766448975},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2667652368545532},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11219379305839539}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8166124224662781},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6304962635040283},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6185829043388367},{"id":"https://openalex.org/C186435350","wikidata":"https://www.wikidata.org/wiki/Q1050365","display_name":"NLS","level":4,"score":0.5982271432876587},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5868844985961914},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33689820766448975},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2667652368545532},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11219379305839539},{"id":"https://openalex.org/C49805395","wikidata":"https://www.wikidata.org/wiki/Q910966","display_name":"Nuclear localization sequence","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C190062978","wikidata":"https://www.wikidata.org/wiki/Q79899","display_name":"Cytoplasm","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1069729","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1069729","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8622514555","display_name":"Study of long time behavior of nonlinear dispersive equations via Hamiltonian structure","funder_award_id":"15K17568","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1529742207","https://openalex.org/W1546223190","https://openalex.org/W1589999577","https://openalex.org/W1836627485","https://openalex.org/W1873972837","https://openalex.org/W1877101245","https://openalex.org/W1921923662","https://openalex.org/W1963632370","https://openalex.org/W1967673736","https://openalex.org/W1968188005","https://openalex.org/W1976342751","https://openalex.org/W1978341731","https://openalex.org/W1980910867","https://openalex.org/W1986429968","https://openalex.org/W1986707149","https://openalex.org/W1987819702","https://openalex.org/W1989609681","https://openalex.org/W1990248598","https://openalex.org/W1998939067","https://openalex.org/W2005105370","https://openalex.org/W2007678244","https://openalex.org/W2029693317","https://openalex.org/W2046022740","https://openalex.org/W2050798497","https://openalex.org/W2054145827","https://openalex.org/W2062407476","https://openalex.org/W2068815532","https://openalex.org/W2072413694","https://openalex.org/W2072575335","https://openalex.org/W2077993194","https://openalex.org/W2084357913","https://openalex.org/W2087792373","https://openalex.org/W2093965803","https://openalex.org/W2097021094","https://openalex.org/W2100977701","https://openalex.org/W2102327241","https://openalex.org/W2131390752","https://openalex.org/W2135269829","https://openalex.org/W2146886290","https://openalex.org/W2148200778","https://openalex.org/W2148252259","https://openalex.org/W2166202717","https://openalex.org/W2314327974","https://openalex.org/W2751432873","https://openalex.org/W2953036120","https://openalex.org/W2962897250","https://openalex.org/W2963559148","https://openalex.org/W2963808611","https://openalex.org/W2963894642","https://openalex.org/W2964323478","https://openalex.org/W3100838525","https://openalex.org/W3102685768","https://openalex.org/W3104185756"],"related_works":["https://openalex.org/W2028602259","https://openalex.org/W2378841998","https://openalex.org/W2011506685","https://openalex.org/W2941850636","https://openalex.org/W2352833050","https://openalex.org/W2167111324","https://openalex.org/W2031399249","https://openalex.org/W2089480326","https://openalex.org/W1968257132","https://openalex.org/W2623769622"],"abstract_inverted_index":{"We":[0,19],"prove":[1],"the":[2,13],"existence":[3],"of":[4,8,12,26,31],"a":[5,39],"two-parameter":[6],"family":[7],"small":[9,24,45],"quasi-periodic":[10,33],"solutions":[11,25,34],"discrete":[14],"nonlinear":[15,46],"Schr\u00f6dinger":[16],"equation":[17],"(DNLS).":[18],"further":[20],"show":[21,42],"that":[22,43],"all":[23,44],"DNLS":[27],"decouple":[28],"to":[29],"one":[30],"these":[32],"and":[35],"dispersive":[36],"wave.":[37],"As":[38],"byproduct,":[40],"we":[41],"bound":[47],"states":[48,51],"including":[49],"excited":[50],"are":[52],"stable.":[53]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
