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Articles

On Equicontinuity, Transitivity and Distality of Iterated Function Systems

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Pages 223-239 | Received 22 Jul 2020, Accepted 14 Aug 2020, Published online: 07 Jan 2021

References

  • A. Z. Bahabadi, Shadowing and average shadowing properties for iterated function systems, Georgian Mathematical Journal, Vol. 22, 179184 (2015).
  • M. F. Barnsley, A. Vince, The conely attractor of an iterated function system, Bulletin of the Australian Mathematical Society, Vol. 88, 267-279 (2013). doi: 10.1017/S0004972713000348
  • M. F. Barnsley, S. Demko, Iterated function systems and the global construction of fractals, The Royal Society Publishing, Published 8 June 1985. DOI: 10.1098/rspa.1985.0057.
  • M. Brin, G. Stuck, Introduction to Dynamical Systems, Cambridge University Press, 2002.
  • R. Devaney, An introduction to chaotic dynamical systems, 2nd edition, Addison-Wesley, 1989.
  • M. Fatehinia, Chain mixing and chain recurrent iterated function systems, Journal of Dynamical Systems and Geometric Theories, Vol. 16, Number 2, 139149 (2018).
  • M. Fatehinia, Iterated function systems with the average shadowing property, Topology Proceedings, Vol. 48, 261275 (2016).
  • M. Fatehinia, Iterated function system with the shadowing property, Journal of Advanced Research in Pure Mathematics, Vol. 7, 83-91 (2015). doi: 10.5373/jarpm.2079.070214
  • M. Fatehinia, Parameterized IFS with the asymptotic average shadowing property, Qualitative Theory of Dynamical Systems, Vol. 15, 367-381 (2016). doi: 10.1007/s12346-015-0184-6
  • M. Fatehinia, S. A. Ahmadi, Various shadowing properties for parameterized iterated function systems, University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, Vol. 80, 145-154 (2018).
  • M. Fatehinia, Various shadowing properties and their equivalent for expansive iterated function systems, Miskolc Mathematical Notes, Vol. 19, Number 1, 413-422 (2018). doi: 10.18514/MMN.2018.1623
  • F.H. Ghane, E. Rezaali, A. Sarizadeh, Sensitivity of iterated function systems, Journal of Mathematical Analysis and Applications, Vol. 469, Number 2, 493-503 (2019). doi: 10.1016/j.jmaa.2018.09.017
  • V. Glavan, V. Gutu, Shadowing in parameterized IFS, Fixed Point Theory. Vol. 7, Number 2, 263-274 (2006).
  • J.E. Hutchinson, Fractals and self similarity, Indiana University Mathematics Journal, Vol. 30, 713-747 (1981). doi: 10.1512/iumj.1981.30.30055
  • S. Koylada, L. Snoha, Some aspects of topological transitivity-A survey, Grazer mathematische Berichte, Vol. 334, 3-35 (1997).
  • P. Kurka, Topological and Symbolic Dynamics, Societe Mathematique de France, 2003.
  • H. Parham, F.H. Ghane, A. Ehsani, Iterated function systems: Transitivity and minimality, Boletim da Sociedade Paranaense de Matematica, Vol. 38, 97-109 (2020). doi: 10.5269/bspm.v38i3.38220
  • X. Wu, L. Wang, J. Liang, The chain properties and average shadowing property of iterated function systems, Qualitative Theory of Dynamical Systems, Vol. 17, 219-227 (2018). doi: 10.1007/s12346-016-0220-1

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