Fluctuations in the limit cycle state and the problem of phase chaos

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Gaussian fluctuations and first order fluctuation corrections to the deterministic solution are investigated in the framework of the generalized Ginzgurg-Landau type equation of motion exhibiting a hard mode transition leading to a homogeneous limit cycle state. It is shown that the stationary distribution of the fluctuations around the limit cycle is not of the form of a Ginzburg-Landau functional. The nature of the further instability in the post bifurcational region, resulting in the phase chaos in the deterministic problem, is found to be qualitatively changed by the presence of noise.

Original languageEnglish
Pages (from-to)146-166
Number of pages21
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-2
Publication statusPublished - May 1982


ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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