Singularities and groups in bifurcation theory

Explore how the structure of solutions to equations changes as parameters shift, a field known as bifurcation theory. This volume specifically examines how the number of parameters and the symmetries of equations influence these changes. It delves into group-theoretic techniques to understand transitions in symmetric systems, covering topics like steady-state bifurcation, equivariant singularity theory, and Hopf bifurcation with symmetry. Detailed case studies demonstrate the practical application of these methods to real-world problems.