2011/02/21 by André L. P. Livorati, Livorati, André L. P., Alexander Loskutov +3
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.CD
paper · pdf · doi:10.48550/arxiv.1102.4303
4 pages, 7 figures
arxiv created 2011/02/21 · openalex publication_date 2011/02/21 · arxiv updated 2011/02/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The dynamics of a time-dependent stadium-like billiard are studied by a four dimensional nonlinear mapping. We have shown that even without any dissipation, the particle experiences a decrease on its velocity. Such condition is related with a critical resonance velocity, where if the initial velocity has a higher value than the resonant one, we can observe Fermi acceleration, however, if the initial velocity has a initial value smaller than the critical one, the particle is temporarily trapped surrounding the stability islands, in a stickiness regime. We believe that this sticky orbits can act as deceleration mechanism for Fermi Acceleration.