Sufficient conditions for ergodic sensitivity
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Authors
Xiong Wang
- Institute for Advanced Study, Shenzhen University, Nanshan District Shenzhen, Guangdong, P. R. China.
Xinxing Wu
- School of Sciences, Southwest Petroleum University, Chengdu, Sichuan, 610500, P. R. China.
Guanrong Chen
- Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China.
Abstract
In this note, some sufficient conditions on the ergodic sensitivity of dynamical systems are obtained, improving the main
results in [Q.-L. Huang, Y.-M. Shi, L.-J. Zhang, Appl. Math. Lett., 39 (2015), 31–34] and [R.-S. Li, Y.-M. Shi, Nonlinear Anal., 72
(2010), 2716–2720]. Moreover, it is proved that under these conditions, the second Lyapunov number of a dynamical system is
equal to the diameter of its state space.
Share and Cite
ISRP Style
Xiong Wang, Xinxing Wu, Guanrong Chen, Sufficient conditions for ergodic sensitivity, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 7, 3404--3408
AMA Style
Wang Xiong, Wu Xinxing, Chen Guanrong, Sufficient conditions for ergodic sensitivity. J. Nonlinear Sci. Appl. (2017); 10(7):3404--3408
Chicago/Turabian Style
Wang, Xiong, Wu, Xinxing, Chen, Guanrong. "Sufficient conditions for ergodic sensitivity." Journal of Nonlinear Sciences and Applications, 10, no. 7 (2017): 3404--3408
Keywords
- Sensitivity
- ergodic sensitivity
- Lyapunov number.
MSC
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