Averaging with a time-dependent perturbation parameter
Dynamical Systems
2021-03-03 v3 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
Motivated by recent problems in mathematical cosmology, in which temporal averaging methods are applied in order to analyze the future asymptotics of models which exhibit oscillatory behavior, we provide a theorem concerning the large-time behavior for solutions of a general class of systems. We thus propose our result to be applicable to a wide range of problems in spatially homogenous cosmology with oscillatory behavior. Mathematically the theorem builds upon the standard theory of averaging in non-linear dynamical systems.
Cite
@article{arxiv.2006.12844,
title = {Averaging with a time-dependent perturbation parameter},
author = {David Fajman and Gernot Heißel and Jin Woo Jang},
journal= {arXiv preprint arXiv:2006.12844},
year = {2021}
}
Comments
changes from the previous version: extended introduction; additional references