THE VARIATIONAL PRINCIPLE FOR THE PACKING ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS∗

doi:10.1007/s10473-023-0426-7

数学物理学报(英文版) ›› 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

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

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/Abstract

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

Ruifeng ZHANG, Jianghui ZHU. THE VARIATIONAL PRINCIPLE FOR THE PACKING ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS^∗[J]. 数学物理学报(英文版), 2023, 43(4): 1915-1924.

Ruifeng ZHANG, Jianghui ZHU. THE VARIATIONAL PRINCIPLE FOR THE PACKING ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS^∗[J]. Acta mathematica scientia,Series B, 2023, 43(4): 1915-1924.

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THE VARIATIONAL PRINCIPLE FOR THE PACKING ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS^∗

THE VARIATIONAL PRINCIPLE FOR THE PACKING ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS^∗

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