Transitivity and dense periodic points are two main ingredients of Devaney chaos. There are many stronger properties than these two main ingredients that have been studied as a shortcut to chaos. In this paper, we focus on two of these, locally everywhere onto and a strong dense periodicity property, and show the implication of these properties on the unit circle.
- Devaney chaos
- Locally everywhere onto
- Strong dense periodicity property
- Unit circle
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