Publicação
Renormalisation of flows on the multidimensional torus close to a KT frequency vector
| dc.contributor.author | Lopes, João Dias | |
| dc.date.accessioned | 2023-10-16T10:21:25Z | |
| dc.date.available | 2023-10-16T10:21:25Z | |
| dc.date.issued | 2002 | |
| dc.description.abstract | 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”. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | 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). | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.5/29050 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | Institute of Physics Publishing | pt_PT |
| dc.subject | KAM Theory | pt_PT |
| dc.subject | Reorganization Group | pt_PT |
| dc.subject | Hamiltonian Dynamics | pt_PT |
| dc.title | Renormalisation of flows on the multidimensional torus close to a KT frequency vector | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |