On a Strong Dense Periodicity Property of Shifts of Finite Type.

Autor: Dzul-Kifli, Syahida Che, Al-Muttairi, Hassan
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Zdroj: AIP Conference Proceedings; 2015, Vol. 1682 Issue 1, p1-5, 5p
Abstrakt: There are various definitions of chaotic dynamical systems. The most utilized definition of chaos is Devaney chaos which isolates three components as being the essential features of chaos; transitivity, dense periodic points and sensitive dependence on initial conditions. In this paper, we focus on a strong dense periodicity property i.e. the set of points with prime period at least n is dense for each n On shift of finite type over two symbols Σ2, we show that the strong dense periodicity property implies another strong chaotic notions; locally everywhere onto (also called exact) and totally transitive. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index