Devaney's chaos implies distributional chaos in a sequence

作者：Liu Heng^*; Wang Lidong; Chu Zhenyan

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 71(12): 6144-6147.

DOI：10.1016/j.na.2009.06.007

• Devaney's chaos
• Distributional chaos in a sequence
• Transitivity

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

• 出版日期2009-12-15
• 单位大连民族大学