Corpus ID: 55221093

# On the sensitivities dependence in non-autonomous dynamical systems

@article{Yang2016OnTS,
title={On the sensitivities dependence in non-autonomous dynamical systems},
author={Chengyu Yang and Zhiming Li},
journal={arXiv: Dynamical Systems},
year={2016}
}
• Published 30 January 2016
• Mathematics
• arXiv: Dynamical Systems
For discrete autonomous dynamical systems (ADS) $(X, d, f)$, it was found that in the three conditions defining Devaney chaos, topological transitivity and dense periodic points together imply sensitive dependence on initial condition(Banks, Brooks, Cairns, Davis and Stacey, 1992). In this paper, the result of Banks et al. is generalized to a class of the non-autonomous dynamical systems (NADS) $(X,f_{1,\infty})$. Also, by the studying of NADS over their iterated systems \$(X,f_{1,\infty}^{[k… Expand

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