M. Golubitsky

Genericity, Bifurcation and Symmetry

In: Patterns and Dynamics in Reactive Media (H.L. Swinney, R. Aris and D.G. Aronson, eds.). IMA Volumes in Mathematics and its Applications, Volume 37. Springer-Verlag, New York, 1991, 71-88.




A tutorial article reviewing some of the basic ideas in the dynamics of symmetric systems. The equivariant branching lemma and its generalization to period doubling for maps are presented as well as the basics of hidden symmetries.