Year: 2026
Type: preprint
Abstract: We study distributional chaos in over-saturated sets under the non-uniform specification property. We prove that for any dynamical system with the non-uniform specification property, every non-empty over-saturated set exhibits distributional chaos of type 1. We further provide sufficient conditions for certain differences of over-saturated sets to exhibit distributional chaos of type 1. We also construct examples showing that some of these conditions are optimal.
Source: arXiv (Cornell University)
Author: Yu, Chenwei
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213258787
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