Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8052142 | Applied Mathematical Modelling | 2018 | 29 Pages |
Abstract
In this paper, the role of multiplicative noise in attaining complete synchronization on large complex networks of dynamical systems is investigated by theoretical analysis and numerical simulations. Based on the stability theory of stochastic differential equation, we prove that the multiplicative noise plays a positive role in attaining synchronization if the complex networks of dynamical systems are bounded. Moreover, the theoretical result shows that smaller second eigenvalue of coupling matrix is of benefit in attaining complete synchronization. To demonstrate the correctness of theoretical results, the coupled Lorenz systems, Hindmarsh-Rose neuronal systems and Rössler-like systems are performed as numerical examples.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Yuzhu Xiao, Sufang Tang, Zhongkui Sun, Xueli Song,