Title of article
Devaney’s chaos implies distributional chaos in a sequence Original Research Article
Author/Authors
Heng Liu، نويسنده , , Lidong Wang، نويسنده , , Zhenyan Chu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
4
From page
6144
To page
6147
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.
Keywords
Devaney’s chaos , Transitivity , Distributional chaos in a sequence
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
861714
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