The persistence of synchronization under environmental noise

DOI10.1098/rspa.2005.1484zbMath1206.60054OpenAlexW2014884866MaRDI QIDQ5427621

Tomás Caraballo Garrido, Peter E. Kloeden

Publication date: 21 November 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2005.1484

zbMATH Keywords

synchronizationrandom attractoradditive noiseone-sided Lipschitz dissipative conditionstationary stochastic process

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10)

Related Items (30)

THE NUMERICAL STABILITY OF STOCHASTIC ORDINARY DIFFERENTIAL EQUATIONS WITH ADDITIVE NOISE ⋮ Synchronization and Adaptive Anti‐Synchronization Control for <scp>L</scp>orenz Systems under Channel Noise with Applications ⋮ The synchronization of stochastic differential equations with linear noise ⋮ Dynamics of an SLIR model with nonmonotone incidence rate and stochastic perturbation ⋮ Mean-square contractivity of stochastic \(\vartheta\)-methods ⋮ Asymptotic behavior of random coupled Ginzburg-Landau equation driven by colored noise on unbounded domains ⋮ Synchronization of nonlinear oscillations of two coupling Berger plates ⋮ Large deviations for synchronized system ⋮ Convergence rate of synchronization of coupled stochastic lattice systems with additive fractional noise ⋮ Fluctuation analysis of synchronized system ⋮ SYNCHRONIZATION OF SYSTEMS WITH MULTIPLICATIVE NOISE ⋮ Mean-square random dynamical systems ⋮ Existence, uniqueness and ergodicity of positive solution of mutualism system with stochastic perturbation ⋮ Synchronization of coupled stochastic systems driven by \(\alpha \)-stable Lévy noises ⋮ The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence ⋮ Convergence rate of synchronization of systems with additive noise ⋮ Stable Integration of Stiff Random Ordinary Differential Equations ⋮ Synchronization phenomena in the system consisting of \(m\) coupled Berger plates ⋮ Synchronization of dissipative dynamical systems driven by non-Gaussian Lévy noises ⋮ SYNCHRONIZATION OF COUPLED STOCHASTIC SYSTEMS WITH MULTIPLICATIVE NOISE ⋮ Synchronization of systems of Marcus canonical equations driven by \(\alpha \)-stable noises ⋮ Synchronization of noisy dissipative systems under discretization ⋮ Synchronization in coupled stochastic sine-Gordon wave model ⋮ Synchronization of systems with fractional environmental noises on finite lattice ⋮ Synchronization and averaging principle of stationary solutions for stochastic differential equations ⋮ Normal deviation of synchronization of stochastic coupled systems ⋮ Dissipative synchronization of nonautonomous and random systems ⋮ On partial synchronization of nonlinear oscillations of two Berger plates coupled by internal subdomains ⋮ Master-slave synchronization and invariant manifolds for coupled stochastic systems ⋮ The synchronization of coupled stochastic systems driven by symmetric α-stable process and Brownian motion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Upper semicontinuity of attractors and synchronization
• Attractors for random dynamical systems
• Nonautonomous attractors of switching systems

This page was built for publication: The persistence of synchronization under environmental noise