title: Noise induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy equation.
abstract: Consider the effect of pure additive noise on the long-time dynamics of the noisy Kuramoto-Sivashinsky (KS) equation close to the instability onset. When the noise acts only on the first stable mode (highly degenerate), the KS solution undergoes several state transitions, including critical on-off intermittency and stabilized states, as the noise strength increases. Similar results are obtained with the Burgers equation. Such noise-induced transitions are completely characterized through critical exponents, obtaining the same universality class for both equations, and rigorously explained using multiscale techniques.
authors.affiliation: Department of Chemical Engineering, Imperial College London, London, SW7 2AZ, United Kingdom.
authors.forename: M
authors.initials: M
authors.lastname: Pradas
authors.forename: D
authors.initials: D
authors.lastname: Tseluiko
authors.forename: S
authors.initials: S
authors.lastname: Kalliadasis
authors.forename: D T
authors.initials: DT
authors.lastname: Papageorgiou
authors.forename: G A
authors.initials: GA
authors.lastname: Pavliotis
mesh_terms: D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D013269:Stochastic Processes