This text contains a collection of 28 contributions on the topics
of bifurcation theory and dynamical systems, mostly from the point
of view of symmetry breaking, which has been revealed to be a
powerful tool in the understanding of pattern formation and in the
scientific application of these theories. Computational aspects of
these theories are also considered. It is designed for graduate and
postgraduate students of nonlinear applied mathematics, as well as
any scientist or engineer interested in pattern formation and
nonlinear instabilities. Dynamical systems and bifurcation theory
are mathematical tools which are suitable for the study of time
evolution and changes in the physical world. The introduction of
the concept of symmetry and symmetry breaking in the theories
enlarges their spectrum of application and their predictive
capability in the evolution of physical systems.
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