A coupled model based on finite element method (FEM) and scaled boundary finite element method (SBFEM) for transient dynamic response of large-scale SSI systems is presented. The wellestablished FEM is used for modeling the near-field bounded domains. A local high-order transmitting boundary, which is based on SBFEM and the improved continued fraction solution for the dynamic stiffness matrix, ...

A new prediction technique, based on the indirect Trefftz method, has been developed for the steady– state dynamic analysis of coupled vibro–acoustic systems. In contrast with the finite element method, in which the dynamic field variables within each element are expanded in terms of local, non–exact shape functions, the dynamic field variables are expressed as global wave function expansions, ...

In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...

This paper exposes an idea for dual level control architecture for use in large-scale systems consisting of networks of smaller subsystems whose dynamical behavior exhibits multiple time scales. The proposed control scheme is decentralized in nature at the low level: The communication among subsystems is done indirectly through the high level control, whose design is based on a singularly pertu...

Many physical problems, particularly in chemical and biological systems, involve processes that occur over widely varying time scales. Such problems have motivated the development of new methods for treating multiple-time-scale problems in molecular dynamics (MD). Methods have been developed for determining the vibrational frequencies and normal modes of large systems in full and reduced confor...

Analytical and empirical studies have shown that self-similar tra c can have a detrimental impact on network performance including ampli ed queuing delay and packet loss rate. Given the ubiquity of scale-invariant burstiness observed across diverse networking contexts, nding e ective tra c control algorithms capable of detecting and managing self-similar tra c has become an important problem. I...

We study a class of systems of countably many linearly interacting diffusions whose components take values in [0,∞) and which in particular includes the case of interacting (via migration) systems of Feller’s continuous state branching diffusions. The components are labelled by a hierarchical group. The longterm behaviour of this system is analysed by considering space-time renormalised systems...