| Abstract: |
| We compute Lindstedt series of quasiperiodic solutions when we add dissipative perturbations (and forcing) to a Hamiltonian system. The problem is a singular perturbation since the dissipation makes many quasi-periodic solutions coalesce. We show rigorously that the series expansions satisfy Gevrey estimates, that is, the $n$ term in the expansion is bounded by a power of $n!$. The general scheme of the proof seems to be applicable to obtain Gevrey estimates in other settings. |
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