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arXiv · 2006.12844

Averaging with a time-dependent perturbation parameter

David Fajman·Gernot Heißel·Jin Woo Jang
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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.

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David Fajman, Gernot Heißel, Jin Woo Jang. 2020-06-23. Averaging with a time-dependent perturbation parameter. https://doi.org/10.1088/1361-6382%2Fabe883

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