대한수학회지 (Journal of the Korean Mathematical Society)

  • 제49권1호
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  • Pages.165-185
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  • 2012
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS

  • Zhu, Yujun (College of Mathematics and Information Science Hebei Normal University) ;
  • Liu, Zhaofeng (College of Mathematics and Information Science Hebei Normal University) ;
  • Xu, Xueli (College of Mathematics and Information Science Hebei Normal University) ;
  • Zhang, Wenda (College of Mathematics and Information Science Hebei Normal University)
  • 투고 : 2010.09.27
  • 발행 : 2012.01.01
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초록

In this paper, the topological entropy and measure-theoretic entropy for nonautonomous dynamical systems are studied. Some properties of these entropies are given and the relation between them is discussed. Moreover, the bounds of them for several particular nonautonomous systems, such as affine transformations on metrizable groups (especially on the torus) and smooth maps on Riemannian manifolds, are obtained.

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과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

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피인용 문헌

  1. On the topological entropy of a semigroup of continuous maps vol.427, pp.2, 2015, https://doi.org/10.1016/j.jmaa.2015.02.082
  2. On an entropy of ℤ + k -actions vol.30, pp.3, 2014, https://doi.org/10.1007/s10114-014-2357-7
  3. Quasistatic dynamical systems 2017, https://doi.org/10.1017/etds.2016.9
  4. Directional entropy of ℤ+k-actions vol.16, pp.01, 2016, https://doi.org/10.1142/S0219493716500040
  5. Topological pressure for nonautonomous systems vol.76, 2015, https://doi.org/10.1016/j.chaos.2015.03.010
  6. Estimations of topological entropy for non-autonomous discrete systems vol.22, pp.3, 2016, https://doi.org/10.1080/10236198.2015.1107055
  7. Variational Principles for Entropies of Nonautonomous Dynamical Systems 2017, https://doi.org/10.1007/s10884-017-9586-2
  8. On the topological entropy of free semigroup actions vol.435, pp.2, 2016, https://doi.org/10.1016/j.jmaa.2015.11.038
  9. Metric Entropy of Nonautonomous Dynamical Systems vol.1, pp.1, 2014, https://doi.org/10.2478/msds-2013-0003
  10. Topological and Measure-Theoretical Entropies of Nonautonomous Dynamical Systems 2016, https://doi.org/10.1007/s10884-016-9554-2
  11. Relationships among some chaotic properties of non-autonomous discrete dynamical systems vol.24, pp.7, 2018, https://doi.org/10.1080/10236198.2018.1458101