Synchronization Analysis of Linearly Coupled Systems with Signal-Dependent Noises

Yanhao Ren, Qiang Luo and Wenlian Lu ()
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Yanhao Ren: School of Mathematical Sciences, Fudan University, Shanghai 200433, China
Qiang Luo: Institute of Science and Technology for Brain-Inspired Intelligence, Fudan University, Shanghai 200433, China
Wenlian Lu: School of Mathematical Sciences, Fudan University, Shanghai 200433, China

Mathematics, 2023, vol. 11, issue 10, 1-15

Abstract: 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.

Keywords: synchronization; stochastic linearly coupled differential equation systems; signal-dependent noise; stability of synchronization manifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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