CHAOS IN THE WEIGHTED BIEBUTOV SYSTEMS

被引：1

作者：

Wu, Xinxing ^{[1
,2
]}

Zhu, Peiyong ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math, Chengdu 611731, Sichuan, Peoples R China

[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2013年 / 23卷 / 08期

关键词：

Weighted Biebutov system; continuous distributional chaos; Devaney chaos; Li-Yorke sensitivity; dense chaos; DISTRIBUTIONAL CHAOS; DYNAMICAL-SYSTEMS; SEMIGROUPS;

D O I：

10.1142/S0218127413501332

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, various notions of chaos in the Biebutov system are studied. First, the Biebutov system is generalized to the weighted Biebutov system. Meanwhile, we introduce the concept of continuous distributional chaos for the weighted Biebutov system and prove that it exhibits continuous distributional chaos and Li-Yorke sensitivity. Finally, we prove that the weighted Biebutov system is mixing and Devaney chaotic.

引用

页数：9

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