Convergence rate of synchronization of systems with additive noise

DOI10.3934/dcdsb.2017012zbMath1360.60106OpenAlexW2566014112MaRDI QIDQ523993

Jicheng Liu, Xian-Ming Liu, Shahad Al-azzawi

Publication date: 25 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017012

zbMATH Keywords

law of the iterated logarithmsynchronizationrandom attractorexponential martingale inequalityone-sided Lipschitz dissipative conditiontime-changed Brownian motion

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Attractors and expansion for Brownian flows
• Synchronization of systems of Marcus canonical equations driven by \(\alpha \)-stable noises
• Exponentially stable stationary solutions for stochastic evolution equations and their perturba\-tion
• SYNCHRONIZATION OF SYSTEMS WITH MULTIPLICATIVE NOISE
• Synchronization of a Stochastic Reaction‐Diffusion System on a Thin Two‐Layer Domain
• Synchronization of noisy dissipative systems under discretization
• Abstract methods for synchronization and applications
• The persistence of synchronization under environmental noise

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