A carregar...
Publicação
Renormalisation of flows on the multidimensional torus close to a KT frequency vector
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 237.38 KB | Adobe PDF |
Autores
Orientador(es)
Resumo(s)
We use a renormalisation operator R acting on a space of vector fields on t ᵈ , d ≥ 2, to prove the existence of a submanifold of vector fields equivalent to constant. The result comes from the existence of a fixed point ω of R which is hyperbolic. This is done for a certain class KTd of frequency vectors ω ∈ R ᵈ , called of Koch type. The transformation R is constructed using a time rescaling, a linear change of basis plus a periodic non-linear map isotopic to the identity, which we derive by a “homotopy trick”.
Descrição
Palavras-chave
KAM Theory Reorganization Group Hamiltonian Dynamics
Contexto Educativo
Citação
Dias, João Lopes .(2002). “Renormalisation of flows on the multidimensional torus close to a KT frequency vector”. Nonlinearity Vol, 15,: pp. 647-664. (Search PDF in 2023).
Editora
Institute of Physics Publishing