2013/02/06 by Gianluigi Del Magno, Del Magno, Gianluigi, João Lopes Dias +7
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1302.1462
openalex publication_date 2013/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors with countably many ergodic SRB measures. These measures are robust under small perturbations of the reflection law, and the tables for which they exist form a generic set in the space of all polygons. Specific polygonal tables are studied in detail.