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J. Korean Math. Soc. 2012; 49(1): 165-185
Printed January 1, 2012
https://doi.org/10.4134/JKMS.2012.49.1.165
Copyright © The Korean Mathematical Society.
Entropy of nonautonomous dynamical systems
Yujun Zhu, Zhaofeng Liu, Xueli Xu, and Wenda Zhang
Hebei Normal University, Hebei Normal University, Hebei Normal University, Hebei Normal University
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: nonautonomous dynamical system, random dynamical system, topological entropy, measure-theoretic entropy
MSC numbers: 37A35, 37B40, 37B55
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