Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
978340 | Physica A: Statistical Mechanics and its Applications | 2007 | 12 Pages |
Abstract
We describe in elementary terms how eigenmode expansions can be used to deal with differential-difference equations. As particular applications we present the full analytical solution of linear stochastic time-delay systems and the weakly nonlinear analysis of nonlinear differential-difference equations in the limit of large time delay. Our exposition is essentially based on an explicit analytical expression for the linear spectrum in terms of the Lambert W-function and on the explicit formula for the eigenfunctions of the adjoint equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Andreas Amann, Eckehard Schöll, Wolfram Just,