The analysis of dynamical systems concerns the study of time-varying phenomena. A
dynamical system consists of an evolution rule, which specifies the future and past states of …

Numericalintegrators can providevaluable insight into the transient behavior of a dynamical
system. However, when the interest isin stationary and periodic solutions, their stability, and …

In this paper the problem of computing bifurcation diagrams for large-scale nonlinear
parameter-dependent steady state systems which arise following the spatial discretization of …

This book collects contributions to the conference" Dynamics, Bifurcation and Symmetry,
new trends and new tools", which was held at the Institut d'Etudes Sci entifiques de Cargese …

This communication follows a previous communication which was presented in the same
Agard Lecture Series (LS 191). In the previous communication, some theoretical foundations …

These lectures are intended to give a survey of numerical methods for analyzing dynamical
systems. The growing interest in these systems, in par-ticular in their chaotic behaviour, has …

Arclength continuation and branch switching are enormously successful algorithms for the
computation of bifurcation diagrams. Nevertheless, their combination suffers from three …

Bifurcation theory studies how the structure of solutions to equations changes as parameters
are varied. The nature of these changes depends both on the number of parameters and on …

The study of differential equations requires good and powerful mathematical software. Also,
a flexible and extendible package is important. However, most of the existing software all …

Abstract matcont is a Matlab continuation package with a GUI for the interactive numerical
study of parameterized nonlinear ODEs. It allows to compute curves of equilibria, limit points …