Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2010.09.27
  • Published : 2012.01.01
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Abstract

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.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

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