- 04-348 A. Haro, R. de la Llave
- A parameterization method for the computation of
invariant tori and their whiskers in quasi periodic maps:
rigorous results.
(148K, latex)
Nov 2, 04
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Abstract. We prove
rigorous results on persistence of invariant tori
and their invariant manifolds for quasiperiodically perturbed
systems. The proofs are based on the parametrization method
of X. Cabre, E. Fontich, R. de la Llave, Ind. Math. Jour. 52, 2
The invariant manifolds results proved here include
as particular cases
of the usual (strong) stable and (strong)
unstable manifolds, but also include other non-resonant
manifolds.
The method lends itself to numerical
implementations whose analysis and implementation is
studied in a companion paper by the same authors.
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