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Sufficient conditions for distributional chaos of type I

Dynamical Systems 2025-03-04 v1

Abstract

Distributional chaos of type I (DC1) is a stronger variant of Li-Yorke chaos. In this paper, we consider the fact that the time-one map of a mixing Anosov flow exhibits DC1 and generalize it to obtain simple sufficient conditions for DC1.

Keywords

Cite

@article{arxiv.2503.00316,
  title  = {Sufficient conditions for distributional chaos of type I},
  author = {Noriaki Kawaguchi},
  journal= {arXiv preprint arXiv:2503.00316},
  year   = {2025}
}

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11 pages