Método da forma normal e suas aplicações em oscilações e estabilidade

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.

Grantor dc:publisher

Universidade Federal do Rio de Janeiro

Year dc:date.issued

1982

Author dc:creator

• Favretto, Luca

Advisor dc:contributor.advisor

• Hsu, Liu

• Dinâmica das estruturas
• Algoritmos
• Análise numérica
• Equações diferenciais ordinárias

Statement dc:rights

• Acesso Aberto

Language dc:language

por

Handle dc:identifier.uri

http://hdl.handle.net/11422/3641

OAI identifier oai:identifier

oai:pantheon.ufrj.br:11422/3641