Corpus ID: 55221093

On the sensitivities dependence in non-autonomous dynamical systems

  title={On the sensitivities dependence in non-autonomous dynamical systems},
  author={Chengyu Yang and Zhiming Li},
  journal={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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