Article ID Journal Published Year Pages File Type
842214 Nonlinear Analysis: Theory, Methods & Applications 2009 4 Pages PDF
Abstract

Let XX be a complete metric space without isolated points, and let f:X→Xf:X→X be a continuous map. In this paper we prove that if ff is transitive and has a periodic point of period pp, then ff is distributionally chaotic in a sequence. Particularly, chaos in the sense of Devaney is stronger than distributional chaos in a sequence.

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