Geodesic
Sufficient conditions for ergodic sensitivity
Wang, Xiong1 ; Wu, Xinxing2 ; Chen, Guanrong3
1 Institute for Advanced Study, Shenzhen University, Nanshan District Shenzhen, Guangdong, P. R. China
2 School of Sciences, Southwest Petroleum University, Chengdu, Sichuan, 610500, P. R. China
3 Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 7, p. 3404-3408.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.07.04
Classification : 54H20, 74H65
Keywords: Sensitivity, ergodic sensitivity, Lyapunov number.

Wang, Xiong 1 ; Wu, Xinxing 2 ; Chen, Guanrong 3

1 Institute for Advanced Study, Shenzhen University, Nanshan District Shenzhen, Guangdong, P. R. China
2 School of Sciences, Southwest Petroleum University, Chengdu, Sichuan, 610500, P. R. China
3 Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China 
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Wang, Xiong; Wu, Xinxing; Chen, Guanrong. Sufficient conditions for ergodic sensitivity. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 7, p. 3404-3408. doi : 10.22436/jnsa.010.07.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.07.04/

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