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Conditions for topologically semi-conjugacy of the induced systems to the subshift of finite type

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  • Ju, Hyonhui
  • Kim, Cholsan
  • Choe, Yunmi
  • Chen, Minghao

Abstract

Let X be a compact metric space and f: X → X be a continuous map. In [14], it was shown that if a dynamical system (X, f) has strictly coupled-expanding property, then the Hyperspace dynamical system (K(X),f¯), induced by (X, f), has a subsystem which is topologically semi-conjugated to a full shift (Σk, σ).

Suggested Citation

  • Ju, Hyonhui & Kim, Cholsan & Choe, Yunmi & Chen, Minghao, 2017. "Conditions for topologically semi-conjugacy of the induced systems to the subshift of finite type," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 1-6.
    • Handle: RePEc:eee:chsofr:v:98:y:2017:i:c:p:1-6
    DOI: 10.1016/j.chaos.2017.02.012
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    References listed on IDEAS

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    1. Kim, Cholsan & Ju, Hyonhui & Chen, Minghao & Raith, Peter, 2015. "A-coupled-expanding and distributional chaos," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 291-295.
    2. Wang, Yangeng & Wei, Guo, 2008. "Conditions ensuring that hyperspace dynamical systems contain subsystems topologically (semi-)conjugate to symbolic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 283-289.
    3. Wang, Yangeng & Wei, Guo & Campbell, William H. & Bourquin, Steven, 2009. "A framework of induced hyperspace dynamical systems equipped with the hit-or-miss topology," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1708-1717.
    4. Shi, Yuming & Ju, Hyonhui & Chen, Guanrong, 2009. "Coupled-expanding maps and one-sided symbolic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2138-2149.
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