CANCELED: Christopher K Jones, UNC, How far the dynamical systems perspective be pushed for studying nonlinear waves and patterns in multi-dimensions?
Geometric dynamical systems ideas have been very successful in determining traveling and standing waves in one space dimension. Techniques that have proved important for their existence and stability include geometric singular perturbation theory, Lin’s Method, the Evans Function and the Maslov Index. Spatial Dynamics constitutes an approach to extending these ideas to higher-dimensional domains that…