For a new frequency set larger than Brjuno-Rüssmann, renormalized Gevrey-γ perturbations of twist maps still admit real-analytic invariant graphs, with a λ-independent threshold in the dissipative case.
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Persistence of invariant graphs for twist maps under analytic perturbations
For a new frequency set larger than Brjuno-Rüssmann, renormalized Gevrey-γ perturbations of twist maps still admit real-analytic invariant graphs, with a λ-independent threshold in the dissipative case.