离散的三分量可逆Gray-Scott模型的不变Borel概率测度  

Invariant Borel Probability Measures for the Discrete Three Component Reversible Gray-Scott Model

作　　者：肖巧懿 李春秋 Xiao Qiaoyi;Li Chunqiu(Department of Mathematics,Wenzhou University,Zhejiang Wenzhou 325035)

机构地区：[1]温州大学数学系,浙江温州325035

出　　处：《数学物理学报（A辑）》2021年第2期523-537,共15页Acta Mathematica Scientia

基　　金：国家自然科学基金(11871368)。

摘　　要：研究由非自治三分量可逆Gray-Scott模型在无穷格点上所生成过程的相关时均观测的Borel概率测度.首先,证明该过程存在拉回-D吸引子.进一步,建立由该拉回吸引子所支撑的唯一一族不变Borel概率测度的存在性.In this paper,we study the Borel probability measures that can be associated to the time averaged observation of the process generated by the nonautonomous three component reversible Gray-Scott model on infinite lattices.We first show that there exists a pullback-D attractor for the process.Furthermore,we establish the existence of a unique family of invariant Borel probability measures carried by this pullback attractor.

关 键 词：不变测度 格点动力系统 拉回吸引子 非自治Gray-Scott模型 

分 类 号：O192[理学—数学]