Renato C. Calleja, Alessandra Celletti, Rafael de la Llave Existence of whiskered KAM tori of conformally symplectic systems (762K, PDF) 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{a-posteriori} 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}