Abstract

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...
Original languageEnglish
Pages (from-to)1395-1410
JournalDiscrete and Continuous Dynamical Systems Series S
Volume13
Issue number4
Early online date1 Apr 2019
DOIs
Publication statusPublished - 1 Apr 2020

Cite this