Stochastic parametric amplification due to higher order correlations: a perturbative approach to non-Abelian effects in time ordering.

@article{Hadjiioannou2006StochasticPA,
  title={Stochastic parametric amplification due to higher order correlations: a perturbative approach to non-Abelian effects in time ordering.},
  author={F T Hadjiioannou and T. A. Apostolatos and Nicholas V. Sarlis},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2006},
  volume={74 5 Pt 1},
  pages={051118}
}
In this paper, we use quantum-mechanical formalism to describe the time evolution of a classical dynamical system with fluctuating parameters. By appropriate choice of "interaction picture representation," and the use of the Baker-Campbell-Hausdorff formula in the chronological time ordered evolution, we have obtained analytical expressions for the Lyapunov… CONTINUE READING