Synchronization Analysis of Linearly Coupled Systems with Signal-Dependent Noises

In this paper, we propose methods for analyzing the synchronization stability of stochastic linearly coupled differential equation systems, with signal-dependent noise perturbation. We consider signal-dependent noise, which is common in many fields, to discuss the stability of the synchronization ma...

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Bibliographic Details
Published inMathematics (Basel) Vol. 11; no. 10; p. 2328
Main Authors Ren, Yanhao, Luo, Qiang, Lu, Wenlian
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.05.2023
Subjects
Analysis
Computer science
Control algorithms
Differential equations
Dynamical systems
Food chains (Ecology)
Food science
Multiagent systems
Neural networks
Neurosciences
Noise
Nonlinear systems
Numerical analysis
Ordinary differential equations
Perturbation
signal-dependent noise
Stability analysis
stability of synchronization manifold
stochastic linearly coupled differential equation systems
Synchronism
synchronization
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Summary:In this paper, we propose methods for analyzing the synchronization stability of stochastic linearly coupled differential equation systems, with signal-dependent noise perturbation. We consider signal-dependent noise, which is common in many fields, to discuss the stability of the synchronization manifold of multiagent systems and linearly coupled nonlinear dynamical systems under sufficient conditions. Numerical simulations are performed in the paper, and the results show the effectiveness of our theorems.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11102328