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arXiv · 1603.01821

Blowup for flat slow manifolds

Kristian Uldall Kristiansen
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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 $\tanh$, (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).

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Kristian Uldall Kristiansen. 2016-03-06. Blowup for flat slow manifolds. https://arxiv.org/abs/1603.01821

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