Uniformly Bounded Initial Chaos in Large System Often Intensifies Infinitely
Mathematical Physics
2020-05-05 v1 math.MP
Probability
Abstract
We consider infinite harmonic chain with completely deterministic dynamics. Initial data are assumed absolutely bounded. Nevertheless maximum of the variables can grow infinitely in time. We give conditions for this phenomenon. It coincides with intuitive guess that the main condition for this growth is sufficient chaos in the initial conditions.
Keywords
Cite
@article{arxiv.2005.01032,
title = {Uniformly Bounded Initial Chaos in Large System Often Intensifies Infinitely},
author = {A. Lykov and V. Malyshev},
journal= {arXiv preprint arXiv:2005.01032},
year = {2020}
}