Blowup for flat slow manifolds
In this paper we present a method for extending the blowup method, in the formulation of Krupa and Szmolyan, to flat slow manifolds that lose hyperbolicity beyond any algebraic order. Although these manifolds have infinite co dimension, they do appear naturally in certain settings. For example in (a) the regularization of piecewise smooth systems by \tanh$ (b) a model of aircraft landing dynamics, and finally (c) in a model of earthquake faulting. We demonstrate the approach on a simple model system and the examples (a) and (b)