Acta mathematica scientia,Series B ›› 2023, Vol. 43 ›› Issue (4): 1915-1924.doi: 10.1007/s10473-023-0426-7

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THE VARIATIONAL PRINCIPLE FOR THE PACKING ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS

Ruifeng ZHANG, Jianghui ZHU   

  1. School of Mathematics, Hefei University of Technology, Hefei 230009, China
  • Received:2022-04-06 Revised:2022-08-25 Published:2023-08-08
  • Contact: †Ruifeng ZHANG, E-mail: rfzhang@hfut.edu.cn
  • Supported by:
    National Natural Science Foundation of China (11871188, 12031019).

Abstract: Let $(X,\phi)$ be a nonautonomous dynamical system. In this paper, we introduce the notions of packing topological entropy and measure-theoretical upper entropy for nonautonomous dynamical systems. Moreover, we establish the variational principle between the packing topological entropy and the measure-theoretical upper entropy.

Key words: packing entropy, variational principle, nonautonomous dynamical systems

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