120
Views
5
CrossRef citations to date
0
Altmetric
Articles

A note on ℱ-sensitivity for non-autonomous systems

&
Pages 548-559 | Received 13 Jun 2018, Accepted 28 Mar 2019, Published online: 11 Apr 2019

References

  • G. Beer, Topologies on Closed and Closed Convex Sets, Kluwer Academic Publishers Group, Dordrecht, 1993.
  • X.-F. Ding, T.-X. Lu, and J.-J. Wang, Sensitivity of non-autonomous discrete dynamical systems revisited, J. Nonlinear Sci. Appl. 10 (2017), pp. 5239–5244. doi: 10.22436/jnsa.010.10.10
  • J. Dvořáková, Chaos in nonautonomous discrete dynamical systems, Commun. Nonlinear Sci. Numer. Simul. 17 (2012), pp. 4649–4652. doi: 10.1016/j.cnsns.2012.06.005
  • R. Li, A note on stronger forms of sensitivity for dynamical systems, Chaos Solitons Fractals 45 (2012), pp. 753–758. doi: 10.1016/j.chaos.2012.02.003
  • R. Li, Y. Zhao, and H. Wang, Furstenberg families and chaos on uniform limit maps, J. Nonlinear Sci. Appl. 10 (2017), pp. 805–816. doi: 10.22436/jnsa.010.02.40
  • L. Liu and Y. Sun, Weakly mixing sets and transitive sets for non-autonomous discrete systems, Adv. Difference Equ. 2014 (2014), p. 217. 9. doi: 10.1186/1687-1847-2014-217
  • T. Lu and G. Chen, Proximal and syndetical properties in nonautonomous discrete systems, J. Appl. Anal. Comput. 7 (2017), pp. 92–101.
  • C. Ma, P. Zhu, and R. Li, On iteration invariants for (F1,F2)-sensitivity and weak (F1,F2)-sensitivity of non-autonomous discrete systems, J. Nonlinear Sci. Appl. 9 (2016), pp. 5772–5779. doi: 10.22436/jnsa.009.11.06
  • R. Memarbashi and H. Rasuli, Notes on the dynamics of nonautonomous discrete dynamical systems, J. Adv. Res. Dyn. Control Syst. 6 (2014), pp. 8–17.
  • T.K.S. Moothathu, Stronger forms of sensitivity for dynamical systems, Nonlinearity 20 (2007), pp. 2115–2126. doi: 10.1088/0951-7715/20/9/006
  • I. Sánchez, M. Sanchis, and H. Villanueva, Chaos in hyperspaces of nonautonomous discrete systems, Chaos Solitons Fractals 94 (2017), pp. 68–74. doi: 10.1016/j.chaos.2016.11.009
  • P. Sharma and A. Nagar, Inducing sensitivity on hyperspaces, Topol. Appl. 157 (2010), pp. 2052–2058. doi: 10.1016/j.topol.2010.05.002
  • P. Sharma and M. Raghav, Dynamics of non-autonomous discrete dynamical systems, Topol. Proc.52 (2018), pp. 45–59.
  • D. Thakkar and R. Das, Spectral decomposition theorem in equicontinuous nonautonomous discrete dynamical systems, J. Difference Equ. Appl. 22 (2016), pp. 676–686. doi: 10.1080/10236198.2015.1133617
  • M. Štefánková, Inheriting of chaos in uniformly convergent nonautonomous dynamical systems on the interval, Discrete Contin. Dyn. Syst. 36 (2016), pp. 3435–3443. doi: 10.3934/dcds.2016.36.3435
  • R. Vasisht, R. Das, Furstenberg families and transitivity in non-autonomous systems. Asian-Eur. J. Math. (2018), doi:10.1142/S1793557120500291.
  • H. Wang, J. Xiong, F. Tan, Furstenberg families and sensitivity. Discrete Dyn. Nat. Soc. 2010 (2010), Art. ID 649348, 12.
  • X. Wu and P. Zhu, Chaos in a class of non-autonomous discrete systems, Appl. Math. Lett. 26 (2013), pp. 431–436. doi: 10.1016/j.aml.2012.11.003
  • X. Wu, J. Wang, and G. Chen, F-sensitivity and multi-sensitivity of hyperspatial dynamical systems, J. Math. Anal. Appl. 429 (2015), pp. 16–26. doi: 10.1016/j.jmaa.2015.04.009
  • X. Wu, R. Li, and Y. Zhang, The multi-F-sensitivity and (F1,F2)-sensitivity for product systems, J. Nonlinear Sci. Appl. 9 (2016), pp. 4364–4370. doi: 10.22436/jnsa.009.06.76

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.