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Multi-sensitivity and other stronger forms of sensitivity in non-autonomous discrete systems

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  • Salman, Mohammad
  • Das, Ruchi

Abstract

In this paper we obtain different sufficient conditions for a non-autonomous discrete system to be multi-sensitivite. We study properties of a multi-sensitive non-autonomous system in detail. It is proved that on a compact metric space every finitely generated non-autonomous system which is topologically transitive having dense set of periodic points is thickly syndetically sensitive. We introduce and study the notion of totally sensitive non-autonomous systems. We also provide counter examples to support our results.

Suggested Citation

  • Salman, Mohammad & Das, Ruchi, 2018. "Multi-sensitivity and other stronger forms of sensitivity in non-autonomous discrete systems," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 341-348.
    • Handle: RePEc:eee:chsofr:v:115:y:2018:i:c:p:341-348
    DOI: 10.1016/j.chaos.2018.07.031
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    References listed on IDEAS

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    1. Sánchez, Iván & Sanchis, Manuel & Villanueva, Hugo, 2017. "Chaos in hyperspaces of nonautonomous discrete systems," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 68-74.
    2. Tian, Chuanjun & Chen, Guanrong, 2006. "Chaos of a sequence of maps in a metric space," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 1067-1075.
    3. Fatmawati & Hengki Tasman, 2016. "An Optimal Treatment Control of TB-HIV Coinfection," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-11, March.
    4. Shao, Hua & Shi, Yuming & Zhu, Hao, 2018. "On distributional chaos in non-autonomous discrete systems," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 234-243.
    5. Heng Liu & Li Liao & Lidong Wang, 2014. "Thickly Syndetical Sensitivity of Topological Dynamical System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-4, April.
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    Cited by:

    1. Deng, Yue & Li, Yuxia, 2021. "Bifurcation and bursting oscillations in 2D non-autonomous discrete memristor-based hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

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