The mathematical background of MatCont is bifurcation theory which is a field of hard
analysis, see in particular [60]. Bifurcation theory treats dynamical systems from a highlevel …

In this chapter we shall describe some of the basic techniques used in the numerical
analysis of dynamical systems. We assume that low-level numerical routines like those for …

This tutorial tries to explain the basics of how to use the numerical bifurcation package
MATCONT by going through an example. This is a condensed and short overview, ie not all …

The theoretical point of view may be viewed as\classical", but it is constructive and
applicable to numerical computation. Most current presentations of bifurcation theory rely on …

Bifurcation software is an essential tool in the study of dynamical systems. From the
beginning (the first packages were written in the 1970's) it was also used in the modelling …

Numerical methods for bifurcation problems 7ft 7ft Page 1 Numerical methods for bifurcation
problems Laurette S. Tuckerman Laboratoire d'Informatique pour la Mecanique et les Sciences …

The purpose of this paper is to give an account of recent developments in numerical
methods for the solution of bifurcation problems. For readers not too familiar with our subject …

The theory of dynamical systems studies the behavior of solutions of systems, like nonlinear
ordinary differential equations (ODEs), depending upon parameters. Using qualitative …

The conference on BIFURCATIONS: ANALYSIS, ALGORITHMS, APPLICATIONS took place
in Dortmund in August 18-22, 1986. More then 150 Scientists from 16 countries participated …

We provide an overview of current techniques and typical applications of numerical
bifurcation analysis in fluid dynamical problems. Many of these problems are characterized …