Blowup for flat slow manifolds
Dynamical Systems
2017-03-28 v5
Abstract
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 , (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).
Cite
@article{arxiv.1603.01821,
title = {Blowup for flat slow manifolds},
author = {Kristian Uldall Kristiansen},
journal= {arXiv preprint arXiv:1603.01821},
year = {2017}
}
Comments
Shortened title and updated references. To appear in Nonlinearity