{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3641"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3641","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Método da forma normal e suas aplicações em oscilações e estabilidade","abstract":"An analytical-numerical method for the study of nonlinear systems of ordinary differential equations near an equilibrium point, especially 1n the case of a bifurcation. This method is called \"Normal Form Method\" (NFM) and it is based in the Normal Form Theory and Center Manifold Theory. We derive recursive normalization formulae for the study of some important cases. We also present the results achieved from the solution of some example obtained by programming these formulae. Two theorems allowing considerable reduction of processing time are demonstrated. Finally an algorithm is also derived for the normalization of Hamiltonian systems.","abstract_html":"An analytical-numerical method for the study of nonlinear systems of ordinary differential equations near an equilibrium point, especially 1n the case of a bifurcation. This method is called "Normal Form Method" (NFM) and it is based in the Normal Form Theory and Center Manifold Theory. We derive recursive normalization formulae for the study of some important cases. We also present the results achieved from the solution of some example obtained by programming these formulae. Two theorems allowing considerable reduction of processing time are demonstrated. Finally an algorithm is also derived for the normalization of Hamiltonian systems.","abstract_has_math":false,"creators":["Favretto, Luca"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Hsu, Liu"],"committee_chairs":[],"committee_members":[],"year":1982,"date_issued":"1982-11","date_published":"1982-11","updated_at":"2026-07-24T01:16:07Z","subjects":["Dinâmica das estruturas","Algoritmos","Análise numérica","Equações diferenciais ordinárias"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3641","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Hsu, Liu"]},{"key":"dc:creator","label":"Author","values":["Favretto, Luca"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-02-22T15:14:12Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:05:24Z"]},{"key":"dc:date.issued","label":"Date","values":["1982-11"]},{"key":"dc:publisher","label":"Institution","values":["Universidade Federal do Rio de Janeiro"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"]},{"key":"dc:type","label":"Dc Type","values":["Dissertação"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Dinâmica das estruturas","Algoritmos","Análise numérica","Equações diferenciais ordinárias"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["por"]},{"key":"dc:rights","label":"Dc Rights","values":["Acesso Aberto"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11422/3641"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["An analytical-numerical method for the study of nonlinear systems of ordinary differential equations near an equilibrium point, especially 1n the case of a bifurcation. This method is called \"Normal Form Method\" (NFM) and it is based in the Normal Form Theory and Center Manifold Theory. We derive recursive normalization formulae for the study of some important cases. We also present the results achieved from the solution of some example obtained by programming these formulae. Two theorems allowing considerable reduction of processing time are demonstrated. Finally an algorithm is also derived for the normalization of Hamiltonian systems."]},{"key":"dc:title","label":"Title","values":["Método da forma normal e suas aplicações em oscilações e estabilidade"]}]}],"canonical_facts":{"dc:contributor.advisor":["Hsu, Liu"],"dc:creator":["Favretto, Luca"],"dc:date.accessioned":["2018-02-22T15:14:12Z"],"dc:date.available":["2026-05-16T03:05:24Z"],"dc:date.issued":["1982-11"],"dc:description.abstract":["An analytical-numerical method for the study of nonlinear systems of ordinary differential equations near an equilibrium point, especially 1n the case of a bifurcation. This method is called \"Normal Form Method\" (NFM) and it is based in the Normal Form Theory and Center Manifold Theory. We derive recursive normalization formulae for the study of some important cases. We also present the results achieved from the solution of some example obtained by programming these formulae. Two theorems allowing considerable reduction of processing time are demonstrated. Finally an algorithm is also derived for the normalization of Hamiltonian systems."],"dc:identifier.uri":["http://hdl.handle.net/11422/3641"],"dc:language":["por"],"dc:publisher":["Universidade Federal do Rio de Janeiro"],"dc:publisher.department":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"],"dc:rights":["Acesso Aberto"],"dc:subject":["Dinâmica das estruturas","Algoritmos","Análise numérica","Equações diferenciais ordinárias"],"dc:title":["Método da forma normal e suas aplicações em oscilações e estabilidade"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:07Z"}