article epub_ahead yes Luca Baracco author Olga Bernardi author Anna Florio author Alessandra Nardi author 3e9c89df-ff0c-11f0-9fd7-c11e36d36769 VaKa department The aim of the present paper is to propose and study a dissipative variant of symplectic billiards within planar strictly convex domains. The associated billiard map is dissipative, thus it admits a compact invariant set, the so-called Birkhoff attractor. Its complexity depends on the rate of dissipation as well as on the geometry of the billiard table. We prove that (a) for strong dissipation, the Birkhoff attractor is a normally contracted graph over the zero section; (b) for mild dissipation, the Birkhoff attractor within a centrally symmetric domain is an indecomposable continuum whose restricted dynamics has positive topological entropy. We compare these results with those for dissipative Birkhoff billiards, studied in [15]. Springer2026 eng Dissipative symplectic billiardBirkhoff attractorConformally symplectic twist map 1040-7294 1572-9222 2509.1308610.1007/s10884-026-10528-9 Baracco, Luca, Olga Bernardi, Anna Florio, and Alessandra Nardi. “Birkhoff Attractors for Dissipative Symplectic Billiards.” <i>Journal of Dynamics and Differential Equations</i>. Springer, 2026. <a href="https://doi.org/10.1007/s10884-026-10528-9">https://doi.org/10.1007/s10884-026-10528-9</a>. L. Baracco, O. Bernardi, A. Florio, and A. Nardi, “Birkhoff attractors for dissipative symplectic billiards,” <i>Journal of Dynamics and Differential Equations</i>. Springer, 2026. Baracco L, Bernardi O, Florio A, Nardi A. 2026. Birkhoff attractors for dissipative symplectic billiards. Journal of Dynamics and Differential Equations. Baracco, Luca, et al. “Birkhoff Attractors for Dissipative Symplectic Billiards.” <i>Journal of Dynamics and Differential Equations</i>, Springer, 2026, doi:<a href="https://doi.org/10.1007/s10884-026-10528-9">10.1007/s10884-026-10528-9</a>. Baracco, L., Bernardi, O., Florio, A., &#38; Nardi, A. (2026). Birkhoff attractors for dissipative symplectic billiards. <i>Journal of Dynamics and Differential Equations</i>. Springer. <a href="https://doi.org/10.1007/s10884-026-10528-9">https://doi.org/10.1007/s10884-026-10528-9</a> L. Baracco, O. Bernardi, A. Florio, A. Nardi, Journal of Dynamics and Differential Equations (2026). Baracco L, Bernardi O, Florio A, Nardi A. Birkhoff attractors for dissipative symplectic billiards. <i>Journal of Dynamics and Differential Equations</i>. 2026. doi:<a href="https://doi.org/10.1007/s10884-026-10528-9">10.1007/s10884-026-10528-9</a> 229542026-09-17T11:05:59Z2026-09-24T12:26:26Z