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How Smooth Should be the System Initially to Escape Unbounded Chaos

Mathematical Physics 2020-05-05 v1 math.MP

Abstract

We consider infinite harmonic chain on the real line with deterministic dynamics (no stochasticity). We indicate classes of uniformly bounded initial conditions when the trajectories of particles stay uniformly bounded.

Keywords

Cite

@article{arxiv.2005.01035,
  title  = {How Smooth Should be the System Initially to Escape Unbounded Chaos},
  author = {A. Lykov and V. Malyshev},
  journal= {arXiv preprint arXiv:2005.01035},
  year   = {2020}
}
R2 v1 2026-06-23T15:16:17.630Z