Synchronization by noise

  title={Synchronization by noise},
  author={F. Flandoli and B. Gess and M. Scheutzow},
  journal={Probability Theory and Related Fields},
  • F. Flandoli, B. Gess, M. Scheutzow
  • Published 2014
  • Mathematics
  • Probability Theory and Related Fields
  • We provide sufficient conditions for synchronization by noise, i.e. under these conditions we prove that weak random attractors for random dynamical systems consist of single random points. In the case of SDE with additive noise, these conditions are also essentially necessary. In addition, we provide sufficient conditions for the existence of a minimal weak point random attractor consisting of a single random point. As a result, synchronization by noise is proven for a large class of SDE with… CONTINUE READING
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    Publications referenced by this paper.
    Stochastic Stability of Differential Equations
    • 1,943
    Generalized synchronization of chaos in directionally coupled chaotic systems.
    • 1,332
    • PDF
    Attractors for random dynamical systems
    • 727
    Random Dynamical Systems
    • 1,814
    Ergodic theory of differentiable dynamical systems
    • 552
    • PDF
    Weak and strong synchronization of chaos.
    • 204
    • PDF
    Stochastic climate dynamics: Random attractors and time-dependent invariant measures
    • 185
    • PDF