{"id":{"repo_id":"bielefeld","oai_identifier":"oai:pub.uni-bielefeld.de:2301866"},"canonical_url":"https://search.dev.ndltd.org/etd/bielefeld/oai:pub.uni-bielefeld.de:2301866","repository":{"repo_id":"bielefeld","name":"Universität Bielefeld","base_url":"https://pub.uni-bielefeld.de/oai"},"display":{"title":"Shadowing and numerical analysis of set-valued dynamical systems","abstract":"In this PhD thesis, shadowing theory is systematically generalized to set-valued discrete-time dynamical systems. In particular, a notion of hyperbolicity is proposed and the corresponding shadowing and inverse shadowing theorems are proved. Explicit error estimates for the Viability Kernel Algorithm are given for systems which possess the shadowing property.","abstract_html":"In this PhD thesis, shadowing theory is systematically generalized to set-valued discrete-time dynamical systems. In particular, a notion of hyperbolicity is proposed and the corresponding shadowing and inverse shadowing theorems are proved. Explicit error estimates for the Viability Kernel Algorithm are given for systems which possess the shadowing property.","abstract_has_math":false,"creators":["Rieger, Janosch"],"institution":"Universität Bielefeld","degree_name":null,"degree_level":"thesis.doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2009,"date_issued":"2009-07-20","date_published":"2009-07-20","updated_at":"2026-07-27T18:49:52Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://pub.uni-bielefeld.de/record/2301866","outbound_label":"Repository record","outbound_source":"source_url"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Rieger, Janosch"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["Universitätsbibliothek Bielefeld"]},{"key":"dc:type","label":"Dc Type","values":["doctoralThesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["thesis.doctoral"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Universität Bielefeld"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this PhD thesis, shadowing theory is systematically generalized to set-valued discrete-time dynamical systems. In particular, a notion of hyperbolicity is proposed and the corresponding shadowing and inverse shadowing theorems are proved. Explicit error estimates for the Viability Kernel Algorithm are given for systems which possess the shadowing property."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Shadowing and numerical analysis of set-valued dynamical systems"]}]}],"canonical_facts":{"dc:creator":["Rieger, Janosch"],"dc:description.abstract":["In this PhD thesis, shadowing theory is systematically generalized to set-valued discrete-time dynamical systems. In particular, a notion of hyperbolicity is proposed and the corresponding shadowing and inverse shadowing theorems are proved. Explicit error estimates for the Viability Kernel Algorithm are given for systems which possess the shadowing property."],"dc:format.medium":["application/pdf"],"dc:publisher":["Universitätsbibliothek Bielefeld"],"dc:title":["Shadowing and numerical analysis of set-valued dynamical systems"],"dc:type":["doctoralThesis"],"thesis:degree_level":["thesis.doctoral"],"thesis:institution_name":["Universität Bielefeld"]},"updated_at":"2026-07-27T18:49:52Z"}