Various types of bifurcation phenomena may be observed in problems of stability limit or
loss of stability of nonlinear physical systems. We will consider in this paper a special type of …

It is well known that bifurcation points are usually quite sensitive to perturbations. For
example, introducing an imperfection in a bifurcation problem may turn two intersecting …

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 …

A finite element scheme is proposed for bifurcation analysis of semi-linear elliptic equations
of two-dimensional spaces. An iteration process is employed to treat nonlinearity of the …

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 …

In this paper a new finite element formulation is given for the analysis of nonlinear stability
problems. The introduction of extended systems opens the possibility to compute limit and …

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 …

We discuss stable numerical methods for the approximation of the solutions of a nonlinear
parameter-dependent equation near a non-trivial bifurcation point. The problem of finding …

A method to analyse bifurcation points by establishing bifurcation equations and solving
them with an asymptotic expansion method is presented. Bifurcation equations are obtained …

A great deal of problems in engineering, but for example also in physics, biology or
sociology deals with equilibrium solutions of nonlinear equations and their stability. By …