Topological pressure of a factor map for nonautonomous dynamical systems

IF 0.5 4区 数学 Q4 MATHEMATICS, APPLIED Dynamical Systems-An International Journal Pub Date : 2023-02-23 DOI:10.1080/14689367.2023.2182183
Lei Liu, Cao Zhao
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引用次数: 0

Abstract

Let be a compact metric space and be a sequence of continuous maps from X to itself. Denote by the sequence and by the induced nonautonomous dynamical system. In this paper, we give the definitions of upper capacity topological pressure and Pesin-Pitskel topological pressure on a noncompact subset for nonautonomous dynamical systems from the dimension theory. Moreover, we propose the equivalent definition of Pesin-Pitskel topological pressure and investigate some properties of topological pressure. In contrast to Bowen's inequality, we discuss a relation for two topological pressures and establish an inequality formula for two topological pressures with a factor map of nonautonomous dynamical systems.
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非自治动力系统因子映射的拓扑压力
设是一个紧致度量空间,并且是从X到其自身的连续映射的序列。用序列和诱导的非自治动力系统表示。本文从维数理论出发,给出了非自治动力系统非紧子集上的上容量拓扑压力和Pesin-Pitskel拓扑压力的定义。此外,我们还提出了Pesin-Pitskel拓扑压力的等价定义,并研究了拓扑压力的一些性质。与Bowen不等式相反,我们讨论了两个拓扑压力的关系,并用非自治动力系统的因子映射建立了两个拓扑学压力的不等式公式。
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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
33
审稿时长
>12 weeks
期刊介绍: Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences
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