Analytical methods of bifurcation theory and numerical path-following methods complement
each other in many investigations of nonlinear systems. This brief “state of the art” review …

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 …

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 …

These lectures introduce the modern theory of continuation or path following in scientific
computing. Almost all problem in science and technology contain parameters. Families or …

I. Existence and Structure of Bifurcation Branches The problem of bifurcation is formulated
as an operator equation in a Banach space, depending on relevant control parameters, say …

An alternative title for this book would perhaps be Nonlinear Analysis, Bifurcation Theory
and Differential Equations. Our primary objective is to discuss those aspects of bifurcation …

Various quite satisfactory analytical and numerical techniques are available for analysing
bifurcation points when something about the structure is known á priori. The author …

A numerical technique is presented for determining a simple turning point in a branch of
solutions of an algebraic system of equations depending on a scalar parameter. Results are …

Publisher Summary This chapter presents a survey of bifurcation theory. Bifurcation is a term
used in several parts of mathematics. It generally refers to a qualitative change in the objects …