NORMAL DEVIATION OF SYNCHRONIZATION OF STOCHASTIC COUPLED SYSTEMS

被引：2
|
作者：
Liu, Jicheng [1 ]
Zhao, Meiling [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 02期
关键词：
stochastic differential equations; normal deviation; martingale approach; stationary solution; Synchronization; LIMIT-THEOREM; LATTICES; SLOW;
D O I：
10.3934/dcdsb.2021079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper will prove the normal deviation of the synchroniza-tion of stochastic coupled system. According to the relationship between the stationary solution and the general solution, the martingale method is used to prove the normal deviation of the fixed initial value of the multi-scale sys-tem, thereby obtaining the normal deviation of the stationary solution. At the same time, with the relationship between the synchronized system and the multi-scale system, the normal deviation of the synchronization is obtained.
引用
收藏
页码：1029 / 1054
页数：26
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