Synchronization of Coupled Phase Oscillators with Stochastic Disturbances and the Cycle Space of the Graph

DOI10.1137/22m1489502zbMath1521.34063arXiv2201.07213OpenAlexW4380483295MaRDI QIDQ6174010

Chenghui Zhang, Aijie Cheng, Kaihua Xi, Hai-Xiang Lin, Zhen Wang, Jan H. van Schuppen

Publication date: 13 July 2023

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.07213

zbMATH Keywords

Lyapunov equationasymptotic variancenetworked systemsynchronization stabilityinvariant probability distributioncycle space of graphsstochastic Gaussian system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Neural networks for/in biological studies, artificial life and related topics (92B20) Paths and cycles (05C38) Stability of solutions to ordinary differential equations (34D20) White noise theory (60H40) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

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