{"id":"https://openalex.org/W2572942877","doi":"https://doi.org/10.1137/16m1064295","title":"Semiflows \u201cMonotone with Respect to High-Rank Cones\" on a Banach Space","display_name":"Semiflows \u201cMonotone with Respect to High-Rank Cones\" on a Banach Space","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2572942877","doi":"https://doi.org/10.1137/16m1064295","mag":"2572942877"},"language":"en","primary_location":{"id":"doi:10.1137/16m1064295","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1064295","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/A5030099607","display_name":"Lirui Feng","orcid":"https://orcid.org/0000-0002-8712-4932"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lirui Feng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091654591","display_name":"Yi Wang","orcid":"https://orcid.org/0000-0001-6068-5310"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yi Wang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Jianhong Wu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jianhong Wu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0409,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.86879069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"49","issue":"1","first_page":"142","last_page":"161"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9995999932289124,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9972000122070312,"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"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.9038553833961487},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7393044233322144},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5823383927345276},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5787509083747864},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.41316866874694824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38499683141708374},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3734245300292969}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9038553833961487},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7393044233322144},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5823383927345276},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5787509083747864},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.41316866874694824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38499683141708374},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3734245300292969},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1064295","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1064295","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/G1681935568","display_name":null,"funder_award_id":"11371338","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2918473697","display_name":null,"funder_award_id":"201406340072","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G3635456475","display_name":null,"funder_award_id":"105588","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G5316352038","display_name":null,"funder_award_id":"11471305","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1586982927","https://openalex.org/W1964053068","https://openalex.org/W1964087661","https://openalex.org/W1967469109","https://openalex.org/W1998243084","https://openalex.org/W2002274093","https://openalex.org/W2010060766","https://openalex.org/W2010397660","https://openalex.org/W2017407560","https://openalex.org/W2028747147","https://openalex.org/W2029273851","https://openalex.org/W2030185240","https://openalex.org/W2035143741","https://openalex.org/W2038447630","https://openalex.org/W2062817484","https://openalex.org/W2065003743","https://openalex.org/W2065450947","https://openalex.org/W2093698052","https://openalex.org/W2109437952","https://openalex.org/W2129063142","https://openalex.org/W2151265887","https://openalex.org/W2165565577","https://openalex.org/W2166127999","https://openalex.org/W2529672911","https://openalex.org/W2585335955","https://openalex.org/W3105109743","https://openalex.org/W3106422036"],"related_works":["https://openalex.org/W238609530","https://openalex.org/W2734192830","https://openalex.org/W3016395638","https://openalex.org/W1636163329","https://openalex.org/W4292947165","https://openalex.org/W3045121788","https://openalex.org/W3201655533","https://openalex.org/W3134442314","https://openalex.org/W2074838282","https://openalex.org/W2152772468"],"abstract_inverted_index":{"We":[0,44,111],"consider":[1],"semiflows":[2,21],"in":[3,62,117],"general":[4],"Banach":[5],"spaces":[6],"motivated":[7],"by":[8],"monotone":[9],"cyclic":[10],"feedback":[11,141],"systems":[12,142,151],"or":[13,59,67,139,156],"differential":[14],"equations":[15],"with":[16,26,106,143],"integer-valued":[17],"Lyapunov":[18],"functionals.":[19],"These":[20],"enjoy":[22],"strong":[23],"monotonicity":[24],"properties":[25],"respect":[27],"to":[28,100,136,149],"\u201ccones\u201d":[29],"of":[30,41,65,92],"high":[31],"ranks,":[32],"which":[33],"imply":[34],"order-related":[35],"structures":[36],"on":[37,95,104,131],"the":[38,52,63,90,93,109,118,128,132,153],"$\\omega$-limit":[39,53],"sets":[40],"precompact":[42,50],"semiorbits.":[43],"show":[45,77],"that":[46,78],"for":[47],"a":[48,69,101,114],"pseudoordered":[49],"semiorbit":[51],"set":[54,64],"$\\omega(x)$":[55,80,85,96],"either":[56],"is":[57,60,86,97],"ordered,":[58,87],"contained":[61],"equilibria,":[66],"possesses":[68],"certain":[70],"ordered":[71],"homoclinic":[72],"property.":[73],"In":[74],"particular,":[75],"we":[76],"if":[79],"contains":[81],"no":[82],"equilibrium,":[83],"then":[84],"and":[88,148],"hence":[89],"dynamics":[91],"semiflow":[94],"topologically":[98],"conjugate":[99],"compact":[102],"flow":[103],"$\\mathbb{R}^k$":[105],"$k$":[107],"being":[108],"rank.":[110],"also":[112],"establish":[113],"Poincar\u00e9--Bendixson-type":[115],"theorem":[116],"case":[119],"where":[120,152],"$k=2$.":[121],"All":[122],"our":[123],"results":[124],"are":[125],"established":[126],"without":[127],"smoothness":[129],"condition":[130],"semiflow,":[133],"allowing":[134],"applications":[135],"many":[137],"cellular":[138],"physiological":[140],"piecewise":[144],"linear":[145],"vector":[146],"fields":[147],"infinite-dimensional":[150],"$C^1$-closing":[154],"lemma":[155],"smooth":[157],"manifold":[158],"theory":[159],"has":[160],"not":[161],"been":[162],"developed.":[163]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}