数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (4): 1915-1924.doi: 10.1007/s10473-023-0426-7

• • 上一篇    

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
  • 收稿日期:2022-04-06 修回日期:2022-08-25 发布日期:2023-08-08
  • 通讯作者: †Ruifeng ZHANG, E-mail: rfzhang@hfut.edu.cn
  • 基金资助:
    National Natural Science Foundation of China (11871188, 12031019).

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).

摘要: 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.

关键词: packing entropy, variational principle, nonautonomous dynamical systems

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