The so-called Fermi acceleration — the acceleration of a particle through collision with an oscillating wall — is one of the most famous model systems for understanding nonlinear Hamiltonian dynamics. The problem was introduced by Fermi  in connection with studies of the acceleration mechanism of cosmic particles through fluctuating magnetic fields. Similar mechanisms have been studied for accelerating cosmic rockets by planetary or stellar gravitational fields. One of the most interesting aspects of such models is the determination of criteria for stochastic (statistical) behavior, despite the strictly deterministic dynamics.
KeywordsPhase Space Rotation Number Mouse Button Wall Velocity Invariant Curf
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- 19.J. V. José, Quasi energy and eigenfunctions of time-dependent periodic Hamiltonians, in H. A. Cerdeira, R. Ramaswamy, M. C. Gutzwiller, and G. Casati, editors, Quantum chaos. World Scientific, Singapore, 1991Google Scholar