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31 p, 290.6 KB Normal forms, stability and splitting of invariant manifolds I. Gevrey Hamiltonians / Bounemoura, Abed ; Centre de Recerca Matemàtica
In this paper, we give a new construction of resonant normal forms with a small remainder for near-integrable Hamiltonians at a quasi-periodic frequency. The construction is based on the special case of a periodic frequency, a Diophantine result concerning the approximation of a vector by independent periodic vectors and a technique of composition of periodic averaging. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1132)  

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