Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842214 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 4 Pages |
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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Authors
Heng Liu, Lidong Wang, Zhenyan Chu,