Journal
NONLINEARITY
Volume 30, Issue 5, Pages 2138-2184Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6544/aa6449
Keywords
blowup; slow-fast systems; geometric singular perturbation theory
Categories
Ask authors/readers for more resources
In this paper, we present a way of 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-dimensions, they do appear naturally in certain settings; for example, in (a) the regularization of piecewise smooth systems by tanh, (b) a particular aircraft landing dynamics model, and finally (c) in a model of earthquake faulting. We demonstrate the approach using a simple model system and the examples (a) and (b).
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available