{"article_type":"original","date_updated":"2026-09-24T12:26:26Z","ddc":["500"],"arxiv":1,"date_created":"2026-09-17T11:05:59Z","citation":{"ieee":"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.","chicago":"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>.","ama":"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>","short":"L. Baracco, O. Bernardi, A. Florio, A. Nardi, Journal of Dynamics and Differential Equations (2026).","ista":"Baracco L, Bernardi O, Florio A, Nardi A. 2026. Birkhoff attractors for dissipative symplectic billiards. Journal of Dynamics and Differential Equations.","mla":"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>.","apa":"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>"},"oa":1,"year":"2026","type":"journal_article","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"eissn":["1572-9222"],"issn":["1040-7294"]},"oa_version":"Published Version","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"scopus_import":"1","main_file_link":[{"url":"https://doi.org/10.1007/s10884-026-10528-9","open_access":"1"}],"month":"07","external_id":{"arxiv":["2509.13086"]},"department":[{"_id":"VaKa"}],"status":"public","publication":"Journal of Dynamics and Differential Equations","language":[{"iso":"eng"}],"publication_status":"epub_ahead","author":[{"full_name":"Baracco, Luca","last_name":"Baracco","first_name":"Luca"},{"first_name":"Olga","last_name":"Bernardi","full_name":"Bernardi, Olga"},{"first_name":"Anna","full_name":"Florio, Anna","last_name":"Florio"},{"full_name":"Nardi, Alessandra","last_name":"Nardi","id":"3e9c89df-ff0c-11f0-9fd7-c11e36d36769","first_name":"Alessandra"}],"OA_type":"hybrid","acknowledgement":"Open access funding provided by Università degli Studi di Padova within the CRUI-CARE Agreement. A.F. is partially supported by the ANR project CoSyDy (ANR-CE40-0014), the ANR project GALS (ANR-23-CE40-0001) and PEPS project “Jeuns chercheurs et jeunes chercheuses” 2025. L.B. and O.B. have been partially supported by the PRIN project 2022FPZEES “Stability in Hamiltonian Dynamics and Beyond”.","article_processing_charge":"Yes (via OA deal)","title":"Birkhoff attractors for dissipative symplectic billiards","date_published":"2026-07-27T00:00:00Z","fulldoi":"https://doi.org/10.1007/s10884-026-10528-9","has_accepted_license":"1","supplementarymaterial":"no","das_tickbox":"0","day":"27","abstract":[{"lang":"eng","text":"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]."}],"quality_controlled":"1","_id":"22954","researchdata_availability":"no","keyword":["Dissipative symplectic billiard","Birkhoff attractor","Conformally symplectic twist map"],"PlanS_conform":"1","OA_place":"publisher","publisher":"Springer","doi":"10.1007/s10884-026-10528-9"}