For singular perturbation problems in dynamical systems, various appropriate singular perturbation methods have been proposed to eliminate secular terms appearing in the naive expansion. For example, the method of multiple time scales, the normal form method, center manifold theory, and the renormalization group method are well known. It is shown that all of the solutions of the reduced equatio...

Motivated by the problem of the coexistence on transmission links of telecommunication networks of elastic and unresponsive traffic, we study in this paper the impact on the busy period of an M/M/1 queue of a small perturbation in the server rate. The perturbation depends upon an independent stationary process (X(t)) and is quantified by means of a parameter ε 1. We specifically compute the two...

Air density uncertainty is usually evaluated as if its input quantities were uncorrelated and as if the mathematical model was linear. The present work takes the CIPM 81/91 formula as a starting point and proposes arguments in favour or against in order to take into account the correlation components and the higher order terms of the Taylor series expansion in the analysis of air density uncert...