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 …

An international summer course on Bifurcation Theory and Applications was held at
Montecatini, Italy, June 24-July 2, 1983, organized by the CIME Foundation. The purpose …

The subject of these lectures is the bifurcation theory of dynamical systems. They are not
comprehensive, as we take up some facets of bifurcation theory and largely ignore others. In …

Symmetry is a property which occurs throughout nature and it is therefore natural that
symmetry should be considered when attempting to model nature. In many cases, these …

Introduction. Dynamic bifurcation theory in differential equations is concerned with the
changes that occur in the structure of the limit sets of solutions as parameters in the vector …

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 …

In analyzing the dynamics of a physical system governed by nonlinear equations the
following questions present themselves: Are there equilibrium states of the system? How …

Some ideas on bifurcation problems with several parameters are collected an different
phenomena are illustrated on examples of bifurcation problems which one can sole …

Bifurcation Theory attempts to explain various phenomena that have been discovered and
described in the natural sciences over the centuries. The buckling of the Euler rod, the …

One of the main ideas in organizing the Summer Institute of Cargese on" Bifurcation
Phenomena in Mathematical Physics and Related Topics" was to bring together Physicists …