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Information Journal Paper

Title

ON ERGODIC SHADOWING AND SPECIFICATION PROPERTIES OF NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS

Author(s)

  SHABANI Z. | AHMADI S.A.

Pages

  1-10

Abstract

 We show that a nonautonomous discrete-time dynamical system (NDS) with the Ergodic shadowing property is chain mixing. As a result, it is obtained that a $ k $-periodic NDS with the Ergodic shadowing property has the shadowing property. In particular, any $ k $-periodic NDS on intervals having the Ergodic shadowing is Devaney chaotic. Additionally, we prove that for an equicontinuous NDS with the shadowing property, the notions of topologically mixing, pseudo-orbital specification, weak specification property, and Ergodic shadowing property are equivalent.

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    APA: Copy

    SHABANI, Z., & AHMADI, S.A.. (2021). ON ERGODIC SHADOWING AND SPECIFICATION PROPERTIES OF NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS. JOURNAL OF MAHANI MATHEMATICAL RESEARCH, 10(1), 1-10. SID. https://sid.ir/paper/983690/en

    Vancouver: Copy

    SHABANI Z., AHMADI S.A.. ON ERGODIC SHADOWING AND SPECIFICATION PROPERTIES OF NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS. JOURNAL OF MAHANI MATHEMATICAL RESEARCH[Internet]. 2021;10(1):1-10. Available from: https://sid.ir/paper/983690/en

    IEEE: Copy

    Z. SHABANI, and S.A. AHMADI, “ON ERGODIC SHADOWING AND SPECIFICATION PROPERTIES OF NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS,” JOURNAL OF MAHANI MATHEMATICAL RESEARCH, vol. 10, no. 1, pp. 1–10, 2021, [Online]. Available: https://sid.ir/paper/983690/en

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