Sensitivity of non-autonomous discrete dynamical systems revisited


Authors

Xian-Feng Ding - School of Sciences, Southwest Petroleum University, Chengdu, Sichuan, 610500, People’s Republic of China. Tian-Xiu Lu - School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, People’s Republic of China. Jian-Jun Wang - Department of Applied Mathematics, Sichuan Agricultural University, Ya’an, Sichuan, 625014, People’s Republic of China.


Abstract

In this note, we construct a transitive non-autonomous discrete system with strongly periodic density which is not sensitive. Besides, we prove that every transitive non-autonomous discrete system with almost periodic density is syndetically sensitive, provided that it converges uniformly to a map, and that a product system is multi-sensitive (resp., \(\mathcal{F}\)-sensitive) if and only if there exists a factor system is multi-sensitive (resp., \(\mathcal{F}\)-sensitive), where \(\mathcal{F}\) is a filterdual.


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ISRP Style

Xian-Feng Ding, Tian-Xiu Lu, Jian-Jun Wang, Sensitivity of non-autonomous discrete dynamical systems revisited, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 10, 5239--5244

AMA Style

Ding Xian-Feng, Lu Tian-Xiu, Wang Jian-Jun, Sensitivity of non-autonomous discrete dynamical systems revisited. J. Nonlinear Sci. Appl. (2017); 10(10):5239--5244

Chicago/Turabian Style

Ding, Xian-Feng, Lu, Tian-Xiu, Wang, Jian-Jun. "Sensitivity of non-autonomous discrete dynamical systems revisited." Journal of Nonlinear Sciences and Applications, 10, no. 10 (2017): 5239--5244


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