{"id":"https://openalex.org/W4213385758","doi":"https://doi.org/10.1093/imamci/dnab036","title":"Behaviour of infinite chains described by Laurent operators: first/second-order equations","display_name":"Behaviour of infinite chains described by Laurent operators: first/second-order equations","publication_year":2021,"publication_date":"2021-11-12","ids":{"openalex":"https://openalex.org/W4213385758","doi":"https://doi.org/10.1093/imamci/dnab036"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnab036","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnab036","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5100417607","display_name":"Dongmei Liu","orcid":"https://orcid.org/0000-0002-2056-8600"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongmei Liu","raw_affiliation_strings":["School of Mathematical Sciences, Dalian University of Technology, Dalian City, Liaoning Province, 116024, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Dalian University of Technology, Dalian City, Liaoning Province, 116024, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100324290","display_name":"Liu Liu","orcid":"https://orcid.org/0000-0002-9065-8038"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liu Liu","raw_affiliation_strings":["School of Mathematical Sciences, Dalian University of Technology, Dalian City, Liaoning Province, 116024, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Dalian University of Technology, Dalian City, Liaoning Province, 116024, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080801699","display_name":"Yufeng Lu","orcid":"https://orcid.org/0000-0003-1797-9377"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yufeng Lu","raw_affiliation_strings":["School of Mathematical Sciences, Dalian University of Technology, Dalian City, Liaoning Province, 116024, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Dalian University of Technology, Dalian City, Liaoning Province, 116024, China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100324290"],"corresponding_institution_ids":["https://openalex.org/I27357992"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.1751,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49415891,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"39","issue":"1","first_page":"93","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9714999794960022,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9714999794960022,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9692000150680542,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10379","display_name":"Cellular Mechanics and Interactions","score":0.9531999826431274,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.739915668964386},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.6417282819747925},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5953893661499023},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5011093616485596},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.48663434386253357},{"id":"https://openalex.org/keywords/first-order","display_name":"First order","score":0.4682677090167999},{"id":"https://openalex.org/keywords/laurent-series","display_name":"Laurent series","score":0.4392591714859009},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.41966259479522705},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.41453564167022705},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40313631296157837},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3861698806285858},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3486098647117615}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.739915668964386},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.6417282819747925},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5953893661499023},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5011093616485596},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48663434386253357},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.4682677090167999},{"id":"https://openalex.org/C184311908","wikidata":"https://www.wikidata.org/wiki/Q425432","display_name":"Laurent series","level":2,"score":0.4392591714859009},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.41966259479522705},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.41453564167022705},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40313631296157837},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3861698806285858},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3486098647117615},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnab036","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnab036","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1656184991","display_name":null,"funder_award_id":"12031002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5340390094","display_name":null,"funder_award_id":"11871131","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1839406310","https://openalex.org/W1974459797","https://openalex.org/W2022073571","https://openalex.org/W2025883071","https://openalex.org/W2111836897","https://openalex.org/W2133627030","https://openalex.org/W2136598296","https://openalex.org/W2158124100","https://openalex.org/W2273004397","https://openalex.org/W2316003981","https://openalex.org/W2338537025","https://openalex.org/W2460502025","https://openalex.org/W2964310360","https://openalex.org/W2969308603","https://openalex.org/W3008259057","https://openalex.org/W3100477615","https://openalex.org/W3106210934"],"related_works":["https://openalex.org/W2390585021","https://openalex.org/W412641959","https://openalex.org/W50969306","https://openalex.org/W4292101436","https://openalex.org/W2341040961","https://openalex.org/W4287207389","https://openalex.org/W2779828239","https://openalex.org/W3154976382","https://openalex.org/W4298171912","https://openalex.org/W2582078722"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"investigates":[3],"the":[4,25,37,49,52],"behaviour":[5],"of":[6,9,28,51],"infinite":[7,30],"chains":[8,31],"kinematic":[10],"points":[11],"described":[12],"by":[13,57],"scalar":[14],"Laurent":[15],"operators":[16],"with":[17],"first/second-order":[18],"linear":[19],"differential":[20],"equations.":[21],"Some":[22],"conditions":[23],"on":[24],"initial":[26],"states":[27],"these":[29],"are":[32],"given":[33],"to":[34],"ensure":[35],"that":[36],"corresponding":[38],"solutions":[39],"converge.":[40],"In":[41],"particular,":[42],"a":[43],"necessary":[44],"and":[45],"sufficient":[46],"condition":[47],"for":[48],"convergence":[50],"first-order":[53],"system":[54],"is":[55],"derived":[56],"using":[58],"ergodic":[59],"theory.":[60]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}