We consider the dynamics of a Hamiltonian particle forced by a rapidly oscillating potential in m-dimensional space. As alternative to the established approach of averaging Hamiltonian dynamics by reformulating the system as Hamilton-Jacobi equation, we propose an averaging technique via reformulation using the Maupertuis principle. We analyse the result of these two approaches for one space dimension. For the initial value problem the solutions converge uniformly when the total energy is fixed. If the initial velocity is fixed independently of the microscopic...
|Journal||Discrete and Continuous Dynamical Systems Series S|
|Early online date||1 Apr 2019|
|Publication status||Published - 1 Apr 2020|