Abstract:
The reversible context 2 in KAM theory refers to the situation where
$\dim\mathop{\rm Fix} G<\frac{1}{2}\mathop{\rm codim}{\mathcal T}$, here $\mathop{\rm Fix} G$ is the fixed point manifold
of the reversing involution $G$ and $\mathcal T$ is the invariant torus one deals
with. Up to now, this context has been entirely unexplored. We obtain a first
result on the persistence of invariant tori in the reversible context 2 (for
the particular case where $\dim\mathop{\rm Fix} G=0$) using J. Moser's modifying terms
theorem of 1967.
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