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|Type:||Artigo de periódico|
|Title:||Extended convergence of normal forms around unstable equilibria|
|Abstract:||There is strong numerical evidence that the convergence of normal forms around saddle points of Hamiltonian systems should extend beyond the region originally established by Moser. We show that these normal forms do converge along a neighbourhood of the stable and unstable manifolds emanating from Moser's region if the Hamiltonian is analytical. A possible further extension will allow the calculation of homoclinic orbits as intersections of the analytical images of the stable and the unstable subspaces for the normal form.|
|Editor:||Elsevier Science Bv|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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