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    • Some properties of forced maps with a non-autonomous dynamical system as the base

      AZAM EHSANI

      Article Volume 133 Published: 3 April 2023 Article ID 0007

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/133/0007

    • Keywords

       

      Invariant graph; negative Schwarzian derivative; intermingled basins.

    • Abstract

       

      For a class of forced non-autonomous dynamical systems, we prove the existence of invariant graphs and classify invariant graphs by supposing that the fibre maps have negative Schwarzian derivative. Also, we investigate the existence of attracting basins that are intermingled.

    • Author Affiliations

       

      AZAM EHSANI1

      1. Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

    • Dates

       
      Published
      3 April 2023
      Manuscript received
      6 May 2022
      Manuscript revised
      13 September 2022
      Accepted
      25 October 2022
      Final version published online
      3 April 2023

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