A number of basic algorithms for the numerical analysis and control of bifurcation
phenomena are described. The emphasis is on algorithms based on pseudoarclength …

A number of basic algorithms for the numerical analysis and control of bifurcation
phenomena are described. The emphasis is on algorithms based on pseudoarclength …

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 …

For an equation H(y,t)=0, where H:D⊂R^n+1→R^n, let p:J⊂R^1→R^n be a primary
solution on which a simple bifurcation point p^*=p(t^*) with rank H_y=(p^*,t^*)=n-1 has been …

Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability
Analysis was published. During that time period the? eld of computational bifurcation has …

We present an analysis of the stability of bifurcation problems based on the classical
Liapunov-Schmidt theory, A well-posed formulation of the problem is derived and numerical …

This book was intended as an introduction to the topic of numerical continuation which
would be accessible to a readership of widely varying mathematical backgrounds. Realizing …

This book describes numerical methods for the detection, computation, and continuation
(following paths) of equilibria and bifurcation points of equilibria of dynamical systems. In the …

Here Л is a free parameter. Such systems arise in many areas, especially in the study of
chemical reactions, in population dynamics and in mathematical biology. Generally one is …

This invaluable book presents a comprehensive introduction to bifurcation theory in the
presence of symmetry, an applied mathematical topic which has developed considerably …