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A recurrent set for one-dimensional dynamical systems

Yıl 2018, Cilt: 47 Sayı: 1, 1 - 7, 01.02.2018

Öz

In this note we introduce a new kind of recurrent set for a dynamical system on the interval [0,1]. This set is not necessarily invariant under continuous conjugacies, but it is invariant under absolutely continuous ones.

Kaynakça

  • S. A. Ahmadi. On the topology of the chain recurrent set of a dynamical system. Applied general topology, 15(2):167–174, 2014.
  • J. M. Alongi and G. S. Nelson. Recurrence and topology, volume 85. American Mathematical Soc., 2007.
  • N. Aoki and K. Hiraide. Topological theory of dynamical systems: recent advances, volume 52. Elsevier, 1994.
  • P. Krupski, K. Omiljanowski, and K. Ungeheuer. Chain recurrent sets of generic mappings on compact spaces. Topology and its Applications, 202:251 – 268, 2016.
  • S. Li. Dynamical properties of the shift maps on the inverse limit spaces. Ergodic Theory and Dynamical Systems, 12(01):95–108, 1992.
  • N. Shekutkovski and M. Shoptrajanov. Intrinsic shape of the chain recurrent set. Topology and its Applications, 202:117 – 126, 2016.
  • T. Shimomura. Special homeomorphisms and approximation for cantor systems. Topology and its Applications, 161:178 – 195, 2014.
  • S. Spataru. An absolutely continuous function whose inverse functionis not absolutely continuous. Note di Matematica, 23(1):47–49, 2004.
  • X. Wen and L. Wen. Codimension one structurally stable chain classes. Transactions of the American Mathematical Society, 368(6):3849–3870, 2016.
Yıl 2018, Cilt: 47 Sayı: 1, 1 - 7, 01.02.2018

Öz

Kaynakça

  • S. A. Ahmadi. On the topology of the chain recurrent set of a dynamical system. Applied general topology, 15(2):167–174, 2014.
  • J. M. Alongi and G. S. Nelson. Recurrence and topology, volume 85. American Mathematical Soc., 2007.
  • N. Aoki and K. Hiraide. Topological theory of dynamical systems: recent advances, volume 52. Elsevier, 1994.
  • P. Krupski, K. Omiljanowski, and K. Ungeheuer. Chain recurrent sets of generic mappings on compact spaces. Topology and its Applications, 202:251 – 268, 2016.
  • S. Li. Dynamical properties of the shift maps on the inverse limit spaces. Ergodic Theory and Dynamical Systems, 12(01):95–108, 1992.
  • N. Shekutkovski and M. Shoptrajanov. Intrinsic shape of the chain recurrent set. Topology and its Applications, 202:117 – 126, 2016.
  • T. Shimomura. Special homeomorphisms and approximation for cantor systems. Topology and its Applications, 161:178 – 195, 2014.
  • S. Spataru. An absolutely continuous function whose inverse functionis not absolutely continuous. Note di Matematica, 23(1):47–49, 2004.
  • X. Wen and L. Wen. Codimension one structurally stable chain classes. Transactions of the American Mathematical Society, 368(6):3849–3870, 2016.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Seyyed Alireza Ahmadi Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 47 Sayı: 1

Kaynak Göster

APA Ahmadi, S. A. (2018). A recurrent set for one-dimensional dynamical systems. Hacettepe Journal of Mathematics and Statistics, 47(1), 1-7.
AMA Ahmadi SA. A recurrent set for one-dimensional dynamical systems. Hacettepe Journal of Mathematics and Statistics. Şubat 2018;47(1):1-7.
Chicago Ahmadi, Seyyed Alireza. “A Recurrent Set for One-Dimensional Dynamical Systems”. Hacettepe Journal of Mathematics and Statistics 47, sy. 1 (Şubat 2018): 1-7.
EndNote Ahmadi SA (01 Şubat 2018) A recurrent set for one-dimensional dynamical systems. Hacettepe Journal of Mathematics and Statistics 47 1 1–7.
IEEE S. A. Ahmadi, “A recurrent set for one-dimensional dynamical systems”, Hacettepe Journal of Mathematics and Statistics, c. 47, sy. 1, ss. 1–7, 2018.
ISNAD Ahmadi, Seyyed Alireza. “A Recurrent Set for One-Dimensional Dynamical Systems”. Hacettepe Journal of Mathematics and Statistics 47/1 (Şubat 2018), 1-7.
JAMA Ahmadi SA. A recurrent set for one-dimensional dynamical systems. Hacettepe Journal of Mathematics and Statistics. 2018;47:1–7.
MLA Ahmadi, Seyyed Alireza. “A Recurrent Set for One-Dimensional Dynamical Systems”. Hacettepe Journal of Mathematics and Statistics, c. 47, sy. 1, 2018, ss. 1-7.
Vancouver Ahmadi SA. A recurrent set for one-dimensional dynamical systems. Hacettepe Journal of Mathematics and Statistics. 2018;47(1):1-7.