{"id":"https://openalex.org/W2803141230","doi":"https://doi.org/10.1142/s0218127418300240","title":"Domain-Dependent Stability Analysis of a Reaction\u2013Diffusion Model on Compact Circular Geometries","display_name":"Domain-Dependent Stability Analysis of a Reaction\u2013Diffusion Model on Compact Circular Geometries","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2803141230","doi":"https://doi.org/10.1142/s0218127418300240","mag":"2803141230"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127418300240","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127418300240","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/Domain-dependent_stability_analysis_of_a_reaction-diffusion_model_on_compact_circular_geometries/23457908","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045341090","display_name":"Wakil Sarfaraz","orcid":"https://orcid.org/0000-0002-0991-4031"},"institutions":[{"id":"https://openalex.org/I162608824","display_name":"University of Sussex","ror":"https://ror.org/00ayhx656","country_code":"GB","type":"education","lineage":["https://openalex.org/I162608824"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Wakil Sarfaraz","raw_affiliation_strings":["School of Mathematical and Physical Sciences, University of Sussex, Pevensey 3, Brighton, BN1 9QH, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical and Physical Sciences, University of Sussex, Pevensey 3, Brighton, BN1 9QH, UK","institution_ids":["https://openalex.org/I162608824"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075584405","display_name":"Anotida Madzvamuse","orcid":"https://orcid.org/0000-0002-9511-8903"},"institutions":[{"id":"https://openalex.org/I162608824","display_name":"University of Sussex","ror":"https://ror.org/00ayhx656","country_code":"GB","type":"education","lineage":["https://openalex.org/I162608824"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Anotida Madzvamuse","raw_affiliation_strings":["School of Mathematical and Physical Sciences, University of Sussex, Pevensey 3, Brighton, BN1 9QH, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical and Physical Sciences, University of Sussex, Pevensey 3, Brighton, BN1 9QH, UK","institution_ids":["https://openalex.org/I162608824"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045341090"],"corresponding_institution_ids":["https://openalex.org/I162608824"],"apc_list":null,"apc_paid":null,"fwci":0.9876,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.78522377,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"28","issue":"08","first_page":"1830024","last_page":"1830024"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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":0.9943000078201294,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9843000173568726,"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/polar-coordinate-system","display_name":"Polar coordinate system","score":0.6358548402786255},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6266337037086487},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.6074430346488953},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.5928477644920349},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5823323726654053},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5276889801025391},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5087445378303528},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4703405499458313},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4588291347026825},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.41960710287094116},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4124714732170105},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.4114196002483368},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29587286710739136},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21735861897468567},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10056039690971375}],"concepts":[{"id":"https://openalex.org/C40069579","wikidata":"https://www.wikidata.org/wiki/Q62494","display_name":"Polar coordinate system","level":2,"score":0.6358548402786255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6266337037086487},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.6074430346488953},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5928477644920349},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5823323726654053},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5276889801025391},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5087445378303528},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4703405499458313},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4588291347026825},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.41960710287094116},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4124714732170105},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.4114196002483368},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29587286710739136},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21735861897468567},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10056039690971375},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218127418300240","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127418300240","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:figshare.com:article/23457908","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Domain-dependent_stability_analysis_of_a_reaction-diffusion_model_on_compact_circular_geometries/23457908","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:sro.sussex.ac.uk:76010","is_oa":false,"landing_page_url":"http://sro.sussex.ac.uk/id/eprint/76010/1/__smbhome.uscs.susx.ac.uk_bw233_Desktop_SRO_SRO%20-%20Anotida%20Madzvamuse_ws-ijbc.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400129","display_name":"Sussex Research Online (University of Sussex)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I162608824","host_organization_name":"University of Sussex","host_organization_lineage":["https://openalex.org/I162608824"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/23457908","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Domain-dependent_stability_analysis_of_a_reaction-diffusion_model_on_compact_circular_geometries/23457908","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5128091834","display_name":null,"funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G570629271","display_name":null,"funder_award_id":"EP/J016780/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W118271839","https://openalex.org/W594157154","https://openalex.org/W1490180844","https://openalex.org/W1565524949","https://openalex.org/W1966916294","https://openalex.org/W1980661496","https://openalex.org/W1986321025","https://openalex.org/W2001655334","https://openalex.org/W2009727181","https://openalex.org/W2011644038","https://openalex.org/W2013427625","https://openalex.org/W2021036023","https://openalex.org/W2029870529","https://openalex.org/W2033596376","https://openalex.org/W2038105662","https://openalex.org/W2038480876","https://openalex.org/W2039051267","https://openalex.org/W2049573714","https://openalex.org/W2050984980","https://openalex.org/W2053002875","https://openalex.org/W2066016361","https://openalex.org/W2067172337","https://openalex.org/W2068597145","https://openalex.org/W2080748624","https://openalex.org/W2089840306","https://openalex.org/W2091904688","https://openalex.org/W2093647165","https://openalex.org/W2093708215","https://openalex.org/W2094967282","https://openalex.org/W2105833837","https://openalex.org/W2151519358","https://openalex.org/W2154822021","https://openalex.org/W2162507613","https://openalex.org/W2491262456","https://openalex.org/W2582491783","https://openalex.org/W3024018030","https://openalex.org/W3101415473","https://openalex.org/W3105400496","https://openalex.org/W4246936399","https://openalex.org/W4293079218","https://openalex.org/W4388257547"],"related_works":["https://openalex.org/W2245403906","https://openalex.org/W2393344178","https://openalex.org/W2495930062","https://openalex.org/W2051796801","https://openalex.org/W2057370678","https://openalex.org/W4206553170","https://openalex.org/W2089206232","https://openalex.org/W3120985700","https://openalex.org/W4221121299","https://openalex.org/W2068693753"],"abstract_inverted_index":{"In":[0],"this":[1],"work":[2],"an":[3],"activator-depleted":[4],"reaction\u2013diffusion":[5,211],"system":[6,170],"is":[7,142,162,193],"investigated":[8],"on":[9,26,43,84,198],"polar":[10,94],"coordinates":[11],"with":[12,50,88,204],"the":[13,17,20,27,38,44,53,76,81,105,113,118,125,133,139,149,152,165,169,182,190,199,202],"aim":[14],"of":[15,23,29,40,46,61,80,132,138,151,168,175,181,184,201,210],"exploring":[16],"relationship":[18],"and":[19,55,78,108,121,144,177],"corresponding":[21],"influence":[22],"domain":[24,49,87],"size":[25],"types":[28,60],"possible":[30],"diffusion-driven":[31,62],"instabilities.":[32],"Quantitative":[33],"relationships":[34],"are":[35,69,98],"found":[36],"in":[37,93,136,164,189,208],"form":[39],"necessary":[41],"conditions":[42,92],"area":[45,200],"a":[47,85,157,172,178,196,205],"disk-shape":[48,86],"respect":[51],"to":[52,64,71,116,124],"diffusion":[54,82],"reaction":[56],"rates":[57],"for":[58,75,104,112,171],"certain":[59],"instabilities":[63],"occur.":[65],"Robust":[66],"analytical":[67,127],"methods":[68,97],"applied":[70,99],"find":[72],"explicit":[73],"expressions":[74],"eigenvalues":[77],"eigenfunctions":[79],"operator":[83],"homogenous":[89],"Neumann":[90],"boundary":[91],"coordinates.":[95],"Spectral":[96],"using":[100],"Chebyshev":[101],"nonperiodic":[102],"grid":[103,111],"radial":[106],"variable":[107,115],"Fourier":[109],"periodic":[110,160],"angular":[114],"verify":[117],"nodal":[119],"lines":[120],"eigen-surfaces":[122],"subject":[123],"proposed":[126,173],"findings.":[128],"The":[129],"full":[130],"classification":[131],"parameter":[134,191],"space":[135],"light":[137],"bifurcation":[140],"analysis":[141],"obtained":[143],"numerically":[145],"verified":[146],"by":[147],"finding":[148],"solutions":[150,167],"partitioning":[153],"curves":[154],"inducing":[155],"such":[156,187],"classification.":[158],"Spatiotemporal":[159],"behavior":[161],"demonstrated":[163],"numerical":[166],"choice":[174],"parameters":[176],"rigorous":[179],"proof":[180],"existence":[183],"infinitely":[185],"many":[186],"points":[188],"plane":[192],"presented":[194],"under":[195],"restriction":[197],"domain,":[203],"lower":[206],"bound":[207],"terms":[209],"rates.":[212]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":5}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}