The interconnection between two (or more) physical systems is always accompanied by
transfer phenomena (material, energy, information) such as transport and propagation …

The main purpose of the book is to introduce the readers to the numerical integration of the
Cauchy problem for delay differential equations (DDEs). Peculiarities and differences that …

The interconnection between two (or more) physical systems is always accompanied by
transfer phenomena (material, energy, information), such as transport and propagation …

The history of the linear time-delayed and time-periodic oscillator demonstrates how stability
theory has developed from the damped oscillator to the delayed Mathieu equation. Based …

A method for computing all zeros of a retarded quasi-polynomial that are located in a large
region of the complex plane is presented. The method is based on mapping the quasi …

In [D. Breda, S. Maset, and R. Vermiglio, IMA J. Numer. Anal., 24 (2004), pp. 1--19.] and [D.
Breda, The Infinitesimal Generator Approach for the Computation of Characteristic Roots for …

Spectral discretization methods are well established methods for the computation of
characteristic roots of time-delay systems. In this paper a method is presented for computing …

We study the stability of a linear system with a point-wise, time-varying delay. We assume
that the delay varies around a nominal value in a deterministic way and investigate the …

An updated QPmR algorithm implementation for computation and analysis of the spectrum
of quasi-polynomials is presented. The objective is to compute all the zeros of a quasi …

This paper surveys recent advances in the study on the stability and bifurcation of time-delay
systems. The review focuses mainly on the achievements of authors' team in the …