Open AccessNormal deviation of synchronization of stochastic coupled systems
Author(s) -
Jicheng Liu,
Meiling Zhao
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021079
Subject(s) - standard deviation , synchronization (alternating current) , martingale (probability theory) , mathematics , relative standard deviation , mathematical analysis , statistics , combinatorics , topology (electrical circuits) , detection limit
This paper will prove the normal deviation of the synchronization 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 system, 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.