Gelfreich, V.; Turaev, D. Fermi acceleration in non-autonomous billiards. (English) Zbl 1139.37041 J. Phys. A, Math. Theor. 41, No. 21, Article ID 212003, 6 p. (2008). Summary: Fermi acceleration can be modelled by a classical particle moving inside a time-dependent domain and elastically reflecting from its boundary. We describe how the results from the dynamical system theory can be used to explain the existence of trajectories with unbounded energy. In particular, we show for slowly oscillating boundaries that the energy of the particle may increase exponentially fast in time. Cited in 21 Documents MSC: 37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion 37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010) 37D50 Hyperbolic systems with singularities (billiards, etc.) (MSC2010) Keywords:Hamiltonian system; KAM theory; energy growth; nonintegrable billiards; frozen billiards; chaos; perturbation; periodicity; hyperbolicity; particle moving; slowly oscillating boundaries PDFBibTeX XMLCite \textit{V. Gelfreich} and \textit{D. Turaev}, J. Phys. A, Math. Theor. 41, No. 21, Article ID 212003, 6 p. (2008; Zbl 1139.37041) Full Text: DOI Link