Multiscale time averaging, Reloaded
Mathematical Physics
2013-08-16 v3 Dynamical Systems
math.MP
Abstract
We develop a rigorously controlled multi-time scale averaging technique; the averaging is done on a finite time interval, properly chosen, and then, via iterations and normal form transformations, the time intervals are scaled to arbitrary order. Here, we consider as an example the problem of finite dimensional conservative dynamical system, which is quasiperiodic and dominated by slow frequencies, leading to small divisor problems in perturbative schemes.
Cite
@article{arxiv.1207.1125,
title = {Multiscale time averaging, Reloaded},
author = {Shmuel Fishman and Avy Soffer},
journal= {arXiv preprint arXiv:1207.1125},
year = {2013}
}
Comments
revised version, to appear in SIAM J. of Math Analysis. Corrected problem with bibliography