{"id":"https://openalex.org/W7224907877","doi":"https://doi.org/10.48550/arxiv.2610.39199","title":"Generalized Transition Fronts and Spectral Speed Asymptotics in Heterogeneous Cooperative Systems","display_name":"Generalized Transition Fronts and Spectral Speed Asymptotics in Heterogeneous Cooperative Systems","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224907877","doi":"https://doi.org/10.48550/arxiv.2610.39199"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.39199","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39199","pdf_url":"https://arxiv.org/pdf/2610.39199","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.39199","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076362119","display_name":"Hoang\u2010Hung Vo","orcid":"https://orcid.org/0000-0002-0404-7987","observed_orcids":["https://orcid.org/0000-0002-0404-7987"]},"institutions":[{"id":"https://openalex.org/I123565023","display_name":"Vietnam National University Ho Chi Minh City","ror":"https://ror.org/00waaqh38","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023"]},{"id":"https://openalex.org/I202539009","display_name":"Industrial University of Ho Chi Minh City","ror":"https://ror.org/03mj71j26","country_code":"VN","type":"education","lineage":["https://openalex.org/I202539009"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Vo, Hoang-Hung","raw_affiliation_strings":["Faculty of Fundamental Science , Industrial University of Ho Chi Minh City , 12 Nguyen Van Bao , Hanh Thong , Ho Chi Minh City , Viet Nam","Vietnam National University , Ho Chi Minh City , Viet Nam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Fundamental Science , Industrial University of Ho Chi Minh City , 12 Nguyen Van Bao , Hanh Thong , Ho Chi Minh City , Viet Nam","institution_ids":["https://openalex.org/I202539009"]},{"raw_affiliation_string":"Vietnam National University , Ho Chi Minh City , Viet Nam","institution_ids":["https://openalex.org/I123565023"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046278431","display_name":"Cong-Bang Trang","orcid":"https://orcid.org/0009-0004-5417-4679","observed_orcids":["https://orcid.org/0009-0004-5417-4679"]},"institutions":[{"id":"https://openalex.org/I228151691","display_name":"Ho Chi Minh City International University","ror":"https://ror.org/003szmg30","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023","https://openalex.org/I228151691"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Trang, Cong-Bang","raw_affiliation_strings":["Department of Mathematics , International University , Quarter 33 , Linh Xuan Ward , Ho Chi Minh City , Viet Nam ;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , International University , Quarter 33 , Linh Xuan Ward , Ho Chi Minh City , Viet Nam ;","institution_ids":["https://openalex.org/I228151691"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.36230000853538513,"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"}},"topics":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.36230000853538513,"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"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.27950000762939453,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.08349999785423279,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/almost-periodic-coefficients","display_name":"almost periodic coefficients","score":0.7080000042915344},{"id":"https://openalex.org/keywords/time-varying-regression-coefficients","display_name":"time-dependent coefficients","score":0.734000027179718},{"id":"https://openalex.org/keywords/generalized-principal-eigenvalue","display_name":"generalized principal eigenvalue","score":0.8690000176429749},{"id":"https://openalex.org/keywords/critical-speed","display_name":"critical speed","score":0.746999979019165},{"id":"https://openalex.org/keywords/minimal-speed","display_name":"minimal speed","score":0.5180000066757202},{"id":"https://openalex.org/keywords/streamlines","display_name":"streamlines","score":0.32199999690055847}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7342000007629395},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5834000110626221},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5246999859809875},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5218999981880188},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4607999920845032},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.42329999804496765},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.41519999504089355},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.3991999924182892},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3714999854564667},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3702999949455261},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.34060001373291016},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.3384999930858612},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.30550000071525574},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C2986045365","wikidata":"https://www.wikidata.org/wiki/Q1163350","display_name":"Wave speed","level":2,"score":0.2904999852180481},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.28850001096725464},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.26600000262260437},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.25200000405311584},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.39199","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39199","pdf_url":"https://arxiv.org/pdf/2610.39199","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.39199","doi":"https://doi.org/10.48550/arxiv.2610.39199","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.39199","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.39199","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39199","pdf_url":"https://arxiv.org/pdf/2610.39199","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224907877.pdf","grobid_xml":"https://content.openalex.org/works/W7224907877.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3080363294","https://openalex.org/W4386204039","https://openalex.org/W3194463147","https://openalex.org/W2566509030","https://openalex.org/W1996853086","https://openalex.org/W2962942721","https://openalex.org/W2041354409","https://openalex.org/W2096109689","https://openalex.org/W2248569961","https://openalex.org/W1886025551"],"abstract_inverted_index":{"We":[0,15,63,133],"study":[1],"generalized":[2,34],"transition":[3],"fronts":[4,23],"for":[5,19,103],"cooperative":[6,88],"reaction--diffusion":[7],"systems":[8,89],"with":[9,94],"spatially":[10],"periodic":[11,92,119],"and":[12,24,47,69,111,127,140],"time-dependent":[13,84],"coefficients.":[14],"obtain":[16,99],"sufficient":[17],"conditions":[18],"the":[20,38,43,49,52,59,66,104,109,130,146],"existence":[21],"of":[22,33,51,145],"necessary":[25],"constraints":[26],"on":[27,58],"their":[28],"propagation":[29],"speeds":[30],"in":[31,90,107],"terms":[32,102],"principal":[35],"eigenvalues.":[36],"In":[37],"almost-periodic":[39],"case,":[40],"we":[41,98],"identify":[42],"two":[44,115],"spectral":[45,78],"thresholds":[46],"examine":[48],"attainment":[50],"critical":[53],"speed":[54,106],"under":[55],"additional":[56],"hypotheses":[57],"normalized":[60],"linear":[61],"evolution.":[62],"then":[64],"investigate":[65],"large-advection":[67,138],"limit":[68],"construct":[70],"a":[71,76,124,136],"time-periodic":[72],"example":[73],"showing":[74],"that":[75],"stationary":[77,91],"characterization":[79],"need":[80],"not":[81],"extend":[82],"to":[83],"flows.":[85],"For":[86],"symmetric":[87],"shears":[93],"equal":[95],"diffusion":[96],"matrices,":[97],"explicit":[100],"correction":[101],"minimal":[105],"both":[108],"small-":[110],"large-diffusion":[112],"limits.":[113],"The":[114],"expansions":[116],"follow":[117],"from":[118],"eigenvalue":[120],"perturbation,":[121],"localization":[122],"near":[123],"maximal":[125],"streamline,":[126],"minimization":[128],"over":[129],"exponential":[131],"weight.":[132],"also":[134],"establish":[135],"higher-order":[137],"expansion":[139],"present":[141],"numerical":[142],"illustrations":[143],"independent":[144],"analytic":[147],"proofs.":[148]},"counts_by_year":[],"updated_date":"2026-11-02T09:45:03.842371","created_date":"2026-10-31T00:00:00"}
