{"id":"https://openalex.org/W2046130209","doi":"https://doi.org/10.1007/s00211-006-0685-y","title":"Time-Delayed finite difference reaction-diffusion systems with nonquasimonotone functions","display_name":"Time-Delayed finite difference reaction-diffusion systems with nonquasimonotone functions","publication_year":2006,"publication_date":"2006-04-10","ids":{"openalex":"https://openalex.org/W2046130209","doi":"https://doi.org/10.1007/s00211-006-0685-y","mag":"2046130209"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-006-0685-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-006-0685-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5101652935","display_name":"Yuan-Ming Wang","orcid":"https://orcid.org/0000-0002-5612-6003"},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]},{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuan-Ming Wang","raw_affiliation_strings":["Department of Mathematics, East China Normal University, Shanghai, 200062, People's Republic of China","Division of Computational Science, E-Institute of Shanghai Universities, Shanghai Normal University, Shanghai, 200234, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, East China Normal University, Shanghai, 200062, People's Republic of China","institution_ids":["https://openalex.org/I66867065"]},{"raw_affiliation_string":"Division of Computational Science, E-Institute of Shanghai Universities, Shanghai Normal University, Shanghai, 200234, People's Republic of China","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113586341","display_name":"C. V. Pao","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C.V. Pao","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC, 27695-8205, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC, 27695-8205, USA","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101652935"],"corresponding_institution_ids":["https://openalex.org/I21945476","https://openalex.org/I66867065"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.5121,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.95095002,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"103","issue":"3","first_page":"485","last_page":"513"},"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":0.9976999759674072,"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":0.9976999759674072,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9955000281333923,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.8246607184410095},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.7484613060951233},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5593205690383911},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5579882860183716},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5481680631637573},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.490790456533432},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.49027374386787415},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.4605483412742615},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4553315341472626},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.43672409653663635},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.4355045557022095},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.43476593494415283},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39809107780456543},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10002738237380981},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07654452323913574}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8246607184410095},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.7484613060951233},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5593205690383911},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5579882860183716},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5481680631637573},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.490790456533432},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.49027374386787415},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.4605483412742615},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4553315341472626},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.43672409653663635},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.4355045557022095},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.43476593494415283},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39809107780456543},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10002738237380981},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07654452323913574},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-006-0685-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-006-0685-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W294645195","https://openalex.org/W1538314991","https://openalex.org/W1550364336","https://openalex.org/W1605753492","https://openalex.org/W1634886030","https://openalex.org/W1975541147","https://openalex.org/W2005175928","https://openalex.org/W2006886176","https://openalex.org/W2007682247","https://openalex.org/W2019644450","https://openalex.org/W2022903059","https://openalex.org/W2026256462","https://openalex.org/W2033867750","https://openalex.org/W2052645143","https://openalex.org/W2058654737","https://openalex.org/W2067167672","https://openalex.org/W2068034522","https://openalex.org/W2075325247","https://openalex.org/W2076963792","https://openalex.org/W2082375119","https://openalex.org/W2090963365","https://openalex.org/W2109011963","https://openalex.org/W2140628943","https://openalex.org/W2307072262","https://openalex.org/W3021376274","https://openalex.org/W3021830949","https://openalex.org/W3035235874","https://openalex.org/W3081847346","https://openalex.org/W4231272808","https://openalex.org/W4247072205","https://openalex.org/W4294576619"],"related_works":["https://openalex.org/W2371137242","https://openalex.org/W2350209725","https://openalex.org/W3132093802","https://openalex.org/W2330640442","https://openalex.org/W1544816068","https://openalex.org/W1975234065","https://openalex.org/W4251142058","https://openalex.org/W2392533133","https://openalex.org/W2617981106","https://openalex.org/W1965041963"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}