Complexity of a Kind of Special Shift Map

Complexity of a Kind of Special Shift Map

In this paper, we introduce the delayed shift on a one-sided symbolic space (with two symbols) and prove that the delayed shift has some complex dynamical properties. In addition, through the method of construction, we prove that there exists an uncountable subset of the one-sided symbolic space suc...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Zhenyan Chu, Lidong Wang, Hong Lin
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Complexity theory
distributional chaos
Educational institutions
Electronic mail
Equations
Measurement
shift
symbolic space
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Beschreibung
Zusammenfassung:In this paper, we introduce the delayed shift on a one-sided symbolic space (with two symbols) and prove that the delayed shift has some complex dynamical properties. In addition, through the method of construction, we prove that there exists an uncountable subset of the one-sided symbolic space such that the restriction of the delayed shift on the subset is distributively chaotic.
DOI:10.1109/IWCFTA.2012.13