Publicação
Normal forms and linearization of resonant vector fields with multiple eigenvalues
| Resumo: | We discuss the linearization and normal forms of resonant vector fields X(x) = Ax +a(x), where A has one double or triple eigenvalue or a pair of double eigenvalues: we present a simple way of identifying the resonant monomials that have to appear in its normal form, and also effective conditions on the nonlinearity a(x) for the resonant vector field to be linearizable. |
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| Autores principais: | Gonçalves, José Basto |
| Outros Autores: | Ferreira, A. C. |
| Assunto: | Normal forms Resonant vector fields |
| Ano: | 2005 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | We discuss the linearization and normal forms of resonant vector fields X(x) = Ax +a(x), where A has one double or triple eigenvalue or a pair of double eigenvalues: we present a simple way of identifying the resonant monomials that have to appear in its normal form, and also effective conditions on the nonlinearity a(x) for the resonant vector field to be linearizable. |
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