Macroscopic limit cycle via noise-induced phase transition

Academic Article

Abstract

  • Bistability generated via a noise-induced phase transition is reexamined from the view of macroscopic dynamical systems, which clarifies the role of fluctuation better than the conventional Fokker-Plank or Langevin equation approach. Using this approach, we investigated the spatially-extended systems with two degrees of freedom per site. The model systems undergo a noise-induced phase transition through a Hopf bifurcation, leading to a macroscopic limit cycle motion similar to the deterministic relaxation oscillation.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Pubmed Id

  • 21647838
  • Author List

  • Kawai R; Sailer X; Schimansky-Geier L
  • Start Page

  • 173
  • End Page

  • 181
  • Volume

  • 5114