The Variational Principle Of Nonautonomous Topological Pressure And The Non - Compact Inverse Tight Non - Autonomous Topological Pressure

Entropy is conjugate invariant of dynamical system, the topological entropy is regarded as a measure of degree of confusion of topological dynamical system. Topological pressure is a kind of generalize of topological entropy, it is a very important concept in the study of ergodic theory and thermodynamic. This article mainly from the following several aspects of research:Firstly, the defi-nition of sun-topological pressure is given by use the method of separation set and generating set, and achieve some important properties. Secondly, varia-tional principle of non-autonomous of Zhu Yujun is improved in this paper, and the variation principle of non-autonomous topological pressure of an inequality is given. Finally, the definition of topological pressure in compact topological space is generalized in situation of no compact no autonomous and proper, and obtained some important properties of this topological pressure.