{"id":{"repo_id":"etsu","oai_identifier":"oai:dc.etsu.edu:etd-1993"},"canonical_url":"https://search.dev.ndltd.org/etd/etsu/oai:dc.etsu.edu:etd-1993","repository":{"repo_id":"etsu","name":"East Tennessee State University","base_url":"https://dc.etsu.edu/do/oai/"},"display":{"title":"Towards a Connection between Linear Embedding and the Poincaré Functional Equation.","abstract":"<p>Several linear embeddings of the logistic equation, <em>x</em><sub><em>n</em>+1</sub>=<em>ax<sub>n</sub></em>(1-<em>x<sub>n</sub></em>) are considered, the goal being to establish a connection between linear embedding and the Poincaré Functional Equation. In particular, we consider linear embedding schemes in a classical Hardy space.</p>","abstract_html":"&lt;p&gt;Several linear embeddings of the logistic equation, &lt;em&gt;x&lt;/em&gt;&lt;sub&gt;&lt;em&gt;n&lt;/em&gt;+1&lt;/sub&gt;=&lt;em&gt;ax&lt;sub&gt;n&lt;/sub&gt;&lt;/em&gt;(1-&lt;em&gt;x&lt;sub&gt;n&lt;/sub&gt;&lt;/em&gt;) are considered, the goal being to establish a connection between linear embedding and the Poincaré Functional Equation. In particular, we consider linear embedding schemes in a classical Hardy space.&lt;/p&gt;","abstract_has_math":false,"creators":["Michels, Tara Marie"],"institution":"East Tennessee State University","degree_name":"MS (Master of Science)","degree_level":"Thesis - unrestricted","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2003,"date_issued":"2003-12-01T08:00:00Z","date_published":"2003-12-01T08:00:00Z","updated_at":"2026-07-24T02:19:28Z","subjects":["Linear Embedding","Poincare Functional Equation","Physical Sciences and Mathematics"],"languages":[],"rights":["Copyright by the authors."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dc.etsu.edu/etd/836","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Michels, Tara Marie"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["1980-01-01T08:00:00Z"]},{"key":"dc:date.issued","label":"Date","values":["2003-12-01T08:00:00Z"]},{"key":"dc:publisher","label":"Institution","values":["East Tennessee State University"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis - unrestricted"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS (Master of Science)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Linear Embedding","Poincare Functional Equation","Physical Sciences and Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["Copyright by the authors."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dc.etsu.edu/context/etd/article/1993/viewcontent/MichelsT120303f.pdf","https://dc.etsu.edu/etd/836"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>Several linear embeddings of the logistic equation, <em>x</em><sub><em>n</em>+1</sub>=<em>ax<sub>n</sub></em>(1-<em>x<sub>n</sub></em>) are considered, the goal being to establish a connection between linear embedding and the Poincaré Functional Equation. In particular, we consider linear embedding schemes in a classical Hardy space.</p>"]},{"key":"dc:title","label":"Title","values":["Towards a Connection between Linear Embedding and the Poincaré Functional Equation."]}]}],"canonical_facts":{"dc:creator":["Michels, Tara Marie"],"dc:date.available":["1980-01-01T08:00:00Z"],"dc:date.issued":["2003-12-01T08:00:00Z"],"dc:description.abstract":["<p>Several linear embeddings of the logistic equation, <em>x</em><sub><em>n</em>+1</sub>=<em>ax<sub>n</sub></em>(1-<em>x<sub>n</sub></em>) are considered, the goal being to establish a connection between linear embedding and the Poincaré Functional Equation. In particular, we consider linear embedding schemes in a classical Hardy space.</p>"],"dc:identifier":["https://dc.etsu.edu/context/etd/article/1993/viewcontent/MichelsT120303f.pdf","https://dc.etsu.edu/etd/836"],"dc:publisher":["East Tennessee State University"],"dc:rights":["Copyright by the authors."],"dc:subject":["Linear Embedding","Poincare Functional Equation","Physical Sciences and Mathematics"],"dc:title":["Towards a Connection between Linear Embedding and the Poincaré Functional Equation."],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Thesis - unrestricted"],"thesis:degree_name":["MS (Master of Science)"]},"updated_at":"2026-07-24T02:19:28Z"}