{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/114722"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/114722","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Practicality of methods of stability analysis for nonlinear reactor systems","abstract":"The domains of stability predicted by Lyapunov's direct method and a modified semigroup method were compared with a direct numerical solution of a space-time nonlinear reactor system. The example employed the xenon-induced flux oscillation problem. It was found that the Lyapunov method and modified semigroup method were very conservative when compared with the numerical solution approach. No domain of stability was found with Lyapunov's method, while the semigroup approach showed a domain of stability nine orders of magnitude more conservative than that predicted by the numerical solution.","abstract_html":"The domains of stability predicted by Lyapunov's direct method and a modified semigroup method were compared with a direct numerical solution of a space-time nonlinear reactor system. The example employed the xenon-induced flux oscillation problem. It was found that the Lyapunov method and modified semigroup method were very conservative when compared with the numerical solution approach. No domain of stability was found with Lyapunov's method, while the semigroup approach showed a domain of stability nine orders of magnitude more conservative than that predicted by the numerical solution.","abstract_has_math":false,"creators":["Kunsitis, Thomas Joseph"],"institution":"Virginia Polytechnic Institute and State University","degree_name":"M.S.","degree_level":"masters","degree_discipline":"Nuclear Science and Engineering","degree_department":"Nuclear Science and Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1977,"date_issued":"1977","date_published":"1977","updated_at":"2026-07-22T22:19:37Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/114722","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Nuclear Science and Engineering"]},{"key":"dc:creator","label":"Author","values":["Kunsitis, Thomas Joseph"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2023-04-20T14:53:53Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2023-04-20T14:53:53Z"]},{"key":"dc:date.issued","label":"Date","values":["1977"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute and State University"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Nuclear Science and Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute and State University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/114722"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The domains of stability predicted by Lyapunov's direct method and a modified semigroup method were compared with a direct numerical solution of a space-time nonlinear reactor system. The example employed the xenon-induced flux oscillation problem. It was found that the Lyapunov method and modified semigroup method were very conservative when compared with the numerical solution approach. 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