{"id":"https://openalex.org/W7225239107","doi":"https://doi.org/10.5281/zenodo.23943144","title":"Recursive Differentiation and Trace Mediated Recovery","display_name":"Recursive Differentiation and Trace Mediated Recovery","publication_year":2026,"publication_date":"2026-11-04","ids":{"openalex":"https://openalex.org/W7225239107","doi":"https://doi.org/10.5281/zenodo.23943144"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23943144","doi":"https://doi.org/10.5281/zenodo.23943144","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23943144","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23943144","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050427629","display_name":"George Wanjau","orcid":"https://orcid.org/0009-0008-6207-5020","observed_orcids":["https://orcid.org/0009-0008-6207-5020"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wanjau, George","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0008-6207-5020","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5050427629"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T14299","display_name":"Complex Systems and Dynamics","score":0.9735999703407288,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T14299","display_name":"Complex Systems and Dynamics","score":0.9735999703407288,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.007499999832361937,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.0034000000450760126,"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":[],"concepts":[{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.7605000138282776},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.649399995803833},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5187000036239624},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5130000114440918},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5067999958992004},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5005999803543091},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4875999987125397},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4357999861240387},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.42329999804496765},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.40689998865127563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36629998683929443},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.321399986743927},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.3158000111579895},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.3156000077724457},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.30979999899864197},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.30869999527931213},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.3025999963283539},{"id":"https://openalex.org/C2780966255","wikidata":"https://www.wikidata.org/wiki/Q5474306","display_name":"Foundation (evidence)","level":2,"score":0.2858000099658966},{"id":"https://openalex.org/C2779193601","wikidata":"https://www.wikidata.org/wiki/Q20026918","display_name":"Mathematical theory","level":2,"score":0.2808000147342682},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.27390000224113464},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26579999923706055},{"id":"https://openalex.org/C20129857","wikidata":"https://www.wikidata.org/wiki/Q751611","display_name":"Mathematical and theoretical biology","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.2639000117778778}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23943144","doi":"https://doi.org/10.5281/zenodo.23943144","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23943144","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23943145","doi":"https://doi.org/10.5281/zenodo.23943145","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23943145","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23943144","doi":"https://doi.org/10.5281/zenodo.23943144","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23943144","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2,106],"establishes":[3,51],"three":[4],"mathematical":[5,68,94],"results":[6,65,95],"for":[7,70],"a":[8,23,55,67],"minimal":[9],"recursive":[10,72],"dynamical":[11,109],"system":[12],"incorporating":[13],"feedback":[14,46],"and":[15,54,75,118],"retained":[16,36],"historical":[17],"trace.":[18],"The":[19,32,49,81,105],"first":[20],"theorem":[21],"identifies":[22],"critical":[24],"threshold":[25],"at":[26],"which":[27],"stable":[28],"differentiated":[29],"states":[30],"emerge.":[31],"second":[33],"demonstrates":[34],"that":[35],"trace":[37],"increases":[38],"recovery":[39,57],"from":[40,111],"perturbations":[41],"beyond":[42],"what":[43],"equivalent":[44],"direct":[45],"can":[47],"achieve.":[48],"third":[50],"global":[52],"convergence":[53],"unique":[56],"boundary":[58],"under":[59],"specified":[60],"positive-determinant":[61],"conditions.":[62],"Together,":[63],"these":[64],"provide":[66],"foundation":[69],"investigating":[71],"differentiation,":[73],"persistence,":[74],"history-dependent":[76],"restoration":[77],"in":[78,85],"nonlinear":[79],"systems.":[80,120],"model":[82],"is":[83],"developed":[84],"connection":[86],"with":[87],"Recursive":[88],"Process":[89],"Monism":[90],"(RPM),":[91],"although":[92],"its":[93],"do":[96],"not":[97],"depend":[98],"on":[99],"RPM's":[100],"philosophical":[101],"interpretation":[102],"of":[103],"consciousness.":[104],"distinguishes":[107],"established":[108],"properties":[110],"their":[112],"possible":[113],"applications":[114],"to":[115],"self-organizing":[116],"biological":[117],"cognitive":[119]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-11-05T00:00:00"}
