论文标题
具有马尔可夫开关的非自主随机晶格系统
Non-autonomous stochastic lattice systems with Markovian switching
论文作者
论文摘要
本文的目的是研究具有马尔可夫开关的非自治随机晶格系统的动态行为。我们首先显示了随机系统度量的进化系统。然后，我们研究措施进化系统分布中的回调（或前进）渐近稳定性。最终，我们证明，随机晶格系统的测量进化系统的紧密序列的任何极限必须是噪声强度收敛零的相应限制系统测量系统的进化系统。特别是，当系数相对于时间是周期性的时，我们显示了随机系统周期性测量顺序的每个限制点必须是限制系统的周期性度量，因为噪声强度为零。
The aim of this paper is to study the dynamical behavior of non-autonomous stochastic lattice systems with Markovian switching. We first show existence of an evolution system of measures of the stochastic system. We then study the pullback (or forward) asymptotic stability in distribution of the evolution system of measures. We finally prove that any limit point of a tight sequence of an evolution system of measures of the stochastic lattice systems must be an evolution system of measures of the corresponding limiting system as the intensity of noise converges zero. In particular, when the coefficients are periodic with respect to time, we show every limit point of a sequence of periodic measures of the stochastic system must be a periodic measure of the limiting system as the noise intensity goes to zero.
