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Synchronization by noise

https://doi.org/10.1007/s00440-016-0716-2
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Statistical Equilibrium and Two-Point Motion for a Stochastic Flow of Diffeomorphisms
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Stochastic Stability of Differential Equations
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Random Dynamical Systems
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Monotone Random Systems Theory and Applications
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Attractors for random dynamical systems
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Small random perturbations of dynamical systems: Exponential loss of memory of the initial condition
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Ergodic theory of differentiable dynamical systems
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Comparison of various concepts of a random attractor:¶ A case study
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Collapse of attractors for ODEs under small random perturbations
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Criteria for Strong and Weak Random Attractors
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Random attractors for singular stochastic evolution equations
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Climate dynamics and fluid mechanics: Natural variability and related uncertainties
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Stochastic climate dynamics: Random attractors and time-dependent invariant measures
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Stabilisation of linear PDEs by Stratonovich noise
inferredcites →https://doi.org/10.1017/cbo9781139137119openalex-snapshot
Mathematics of Two-Dimensional Turbulence
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Random Point Attractors Versus Random Set Attractors
inferredcites →https://doi.org/10.1063/1.3493646openalex-snapshot
Master-slave synchronization and invariant manifolds for coupled stochastic systems
inferredcites →https://doi.org/10.1080/02681119808806264openalex-snapshot
Order-preserving random dynamical systems: equilibria, attractors, applications
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On the structure of attractors and invariant measures for a class of monotone random systems
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Evolution systems of measures for stochastic flows
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Qualitative behaviour of stochastic delay equations with a bounded memory
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Flows of stochastic dynamical systems: ergodic theory
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On unique ergodicity for degenerate diffusions
inferredcites →https://doi.org/10.1080/17442509108833733openalex-snapshot
Markov measures for random dynamical systems
inferredcites →https://doi.org/10.1080/17442509408833923openalex-snapshot
Small random perturbation of dynamical systems: recursive multiscale analysis
inferredcites →https://doi.org/10.1090/gsm/012openalex-snapshot
Lectures on Elliptic and Parabolic Equations in Hölder Spaces
inferredcites →https://doi.org/10.1090/gsm/140openalex-snapshot
Ordinary Differential Equations and Dynamical Systems
inferredcites →https://doi.org/10.1090/s0002-9939-06-08593-5openalex-snapshot
The effect of noise on the Chafee-Infante equation: A nonlinear case study
inferredcites →https://doi.org/10.1090/s0002-9939-1987-0891165-xopenalex-snapshot
Constructing Metrics with the Heine-Borel Property
inferredcites →https://doi.org/10.1103/physreve.51.980openalex-snapshot
Generalized synchronization of chaos in directionally coupled chaotic systems
inferredcites →https://doi.org/10.1103/physreve.54.r4508openalex-snapshot
Weak and strong synchronization of chaos
inferredcites →https://doi.org/10.1103/physreve.87.042913openalex-snapshot
Nature of weak generalized synchronization in chaotically driven maps
inferredcites →https://doi.org/10.1112/s0024609300226830openalex-snapshot
RANDOM DYNAMICAL SYSTEMS (Springer Monographs in Mathematics)
inferredcites →https://doi.org/10.1119/1.1475332openalex-snapshot
Synchronization: A Universal Concept in Nonlinear Science
inferredcites →https://doi.org/10.1137/0321027openalex-snapshot
Stabilization of Linear Systems by Noise
inferredcites →https://doi.org/10.1137/050647281openalex-snapshot
Synchronization of a Stochastic Reaction‐Diffusion System on a Thin Two‐Layer Domain
inferredcites →https://doi.org/10.1201/b12601openalex-snapshot
Random Probability Measures on Polish Spaces
inferredcites →https://doi.org/10.1214/13-aihp591openalex-snapshot
Invariant measure of duplicated diffusions and application to Richardson–Romberg extrapolation
inferredcites →https://doi.org/10.1214/16-aop1088openalex-snapshot
Synchronization by noise for order-preserving random dynamical systems
inferredcites →https://doi.org/10.1214/aop/1022677380openalex-snapshot
The Stable Manifold Theorem for Stochastic Differential Equations
inferredcites →https://doi.org/10.1214/ejp.v16-894openalex-snapshot
Attractors and Expansion for Brownian Flows
inferredcites →https://doi.org/10.3934/mbe.2014.11.385openalex-snapshot
Cooperative behavior in a jump diffusion model for a simple network of spiking neurons
inferredcites →https://doi.org/10.4213/faa94openalex-snapshot
О случайных аттракторах для систем перемешивающего типа
inferredcites →https://doi.org/10.48550/arxiv.1408.5599openalex-snapshot
Necessary and Sufficient Conditions for Stable Synchronisation in Random Dynamical Systems
inferredcites →https://doi.org/10.5194/cp-9-2253-2013openalex-snapshot
Why could ice ages be unpredictable?

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Forbidden Zones and Biases for the Expectation: New Mathematical Results for Behavioral and Social Sciences
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Synchronization of Chains of Logistic Maps
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Intermittent Synchronization in Finite-State Random Networks Under Markov Perturbations
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Regularization by noise for stochastic Hamilton–Jacobi equations
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On the pitchfork bifurcation for the Chafee–Infante equation with additive noise
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Lyapunov exponents and shear-induced chaos for a Hopf bifurcation with additive noise
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Synchronization in Minimal Iterated Function Systems on Compact Manifolds
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Ergodicity for Singular-Degenerate Stochastic Porous Media Equations
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Synchronization and Random Attractors in Reaction Jump Processes
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Generalized Ornstein–Uhlenbeck Process for Affine Stochastic Functional Differential Equations and Its Applications
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Hopf bifurcation with additive noise
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Noise dependent synchronization of a degenerate SDE
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Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3
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Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organized criticality
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Synchronisation of almost all trajectories of a random dynamical system
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Weak synchronization for isotropic flows
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Random dynamics of non-autonomous semi-linear degenerate parabolic equations on $\mathbb{R}^N$ driven by an unbounded additive noise
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Random Delta-Hausdorff-attractors
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Pullback random attractors of stochastic strongly damped wave equations with variable delays on unbounded domains
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Connectedness of random set attractors
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Synchronisation in Invertible Random Dynamical Systems on the Circle
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Regularization by noise for stochastic Hamilton-Jacobi equations
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Random dynamical systems, rough paths and rough flows
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Random Delta-Hausdorff-attractors
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Stationary points in coalescing stochastic flows on $\mathbb{R}$
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Ergodicity for singular-degenerate porous media equations
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Synchronisation by noise for the stochastic quantisation equation in dimensions $2$ and $3$
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Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organised criticality
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