2010/05/20 by Kushal Shah, Shah, Kushal
Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Cosmology and Gravitation Theories #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Plasma Physics (physics.plasm-ph) #Quantum chaos and dynamical systems #Scientific Research and Discoveries #math.DS #nlin.CD #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.1005.3652
5 pages, 3 figures
arxiv created 2010/05/20 · openalex publication_date 2010/05/20 · arxiv updated 2010/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Particle motion in a smoothly oscillating non-integrable billiard is known to result in unbounded energy growth. Though the asymptotic energy growth rate of an ensemble of particles in an oscillating chaotic billiard is known to be quadratic, there are no estimates available for smoothly oscillating pseudo-integrable billiards. The energy growth rate in such systems is so slow that it is very hard to predict the asymptotic rates from finite time computations. In this paper, a method is proposed to estimate the asymptotic energy growth rate in a system by using short-time data. The idea is applied to the case of an oscillating pseudo-integrable system, and it is shown that the asymptotic energy growth rate in such systems could be exponential.