| 一般三角帐篷映射混沌性与两种混沌互不蕴含性 |
| |
| 引用本文： | 吴新星,朱培勇.一般三角帐篷映射混沌性与两种混沌互不蕴含性[J].纯粹数学与应用数学,2010,26(5):804-810. |
| |
| 作者姓名： | 吴新星 朱培勇 |
| |
| 作者单位： | 电子科技大学数学科学学院,四川,成都,611731;电子科技大学数学科学学院,四川,成都,611731 |
| |
| 摘 要： | 将三角帐篷映射推广为一般的n-三角帐篷映射,并且借助于一般Bernoulli移位映射,Banks定理与Li-Yorke定理,首先证明：对于任意的正整数n,n-三角帐篷映射既是Devaney混沌的,也是Li-Yorke混沌的.然后,利用所得到的结果,通过实例展示：Devaney混沌与Li-Yorke混沌的互不蕴含性.
|
| 关 键 词： | Devaney混沌 Li-Yorke混沌 n-移位映射 n-三角帐篷映射 |
Chaoticity of general triangular tent map and the non-mutual "implication of Devaney chaos and Li-Yorke chaos |
| |
| WU Xin-xing,ZHU Pei-yong.Chaoticity of general triangular tent map and the non-mutual "implication of Devaney chaos and Li-Yorke chaos[J].Pure and Applied Mathematics,2010,26(5):804-810. |
| |
| Authors: | WU Xin-xing ZHU Pei-yong |
| |
| Institution: | WU Xin-xing,ZHU Pei-yong(School of Applied Mathematics,University of Electronic Science and Technology,Chengdu 611731,China) |
| |
| Abstract: | First, the triangular tent map is generalized to n-triangular tent maps for each natural number n. Next, it is proved that each n-triangular tent map is chaotic both in the sense of Li-Yorke and of Devaney by means of general shift map, Banks Theorem and Li-Yorke Theorem. Finally, by using the above results an example is given to show that Li-Yorke chaos and Devaney chaos don＇t imply each other. |
| |
| Keywords: | Devaney chaos Li-Yorke chaos n-shift map n-triangular tent map |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
