 199 Renato C. Calleja, Alessandra Celletti, Rafael de la Llave
 Existence of whiskered KAM tori of conformally symplectic systems
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Jan 23, 19

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Abstract. Many physical problems are described by conformally symplectic
systems (i.e., systems whose evolution in time
transforms a symplectic form into a multiple of itself).
We study the existence of whiskered tori in
a family $f_\mu$ of conformally symplectic maps depending on parameters $\mu$
(often called \emph{drifts}). We recall that whiskered tori
are tori on which the motion is a rotation, but they
have as many expanding/contracting directions as allowed by the
preservation of the geometric structure.
Our main result is formulated in an \emph{aposteriori} format.
We fix $\omega$
satisfying Diophantine conditions. We assume
that we are given 1) a value of the
parameter $\mu_0$, 2) an embedding of the torus $K_0$ into the
phase space, approximately invariant under $f_{\mu_0}$ in the sense
that $f_{\mu_0}
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