离散的三分量可逆Gray-Scott模型的不变Borel概率测度

Abstract

Abstract:

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-$ {\cal D} $ attractor for the process. Furthermore, we establish the existence of a unique family of invariant Borel probability measures carried by this pullback attractor.

Key words: Invariant measures, Lattice dynamical system, Pullback attractor, Nonautonomous Gray-Scott model

CLC Number:

O192

Qiaoyi Xiao,Chunqiu Li. Invariant Borel Probability Measures for the Discrete Three Component Reversible Gray-Scott Model[J].Acta mathematica scientia,Series A, 2021, 41(2): 523-537.

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References 36

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

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