1998/11/14 by Constantia Alexandrou, Alexandrou, Constantia, Iacovos Kyprianou +1
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Quantum chaos and dynamical systems #chao-dyn #nlin.CD
paper · pdf · doi:10.48550/arxiv.chao-dyn/9811018
Article revised, new resuls added. Manuscript in HTML4.0. To get the PS version and software package go to http://www.buffalo.edu/~kypriano/
openalex publication_date 1998/11/14 · arxiv created 1999/12/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a model inspired by the pinball machine involving chaotic scattering of particles on hard disks with inelasticity. This system exhibits sensitivity not only on the initial conditions of the scattering point particle but also on the external force produced by the pinballs. The deflection function shows fractal structure with regions of wild oscillations which are exponentially compressed as a function of the force exerted by the hard disks. The chaotic properties of the repeller, such as the scaling of the fractal dimension, the Lyapunov exponents and the pressure function, are studied for different geometric configurations.