Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations
type: Item
instance of: scholarly article
title: Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations
zbMATH Open document ID: 1380.37105
author: Michael G. Hayes
author: Tasso J. Kaper
author: Peter Szmolyan
author: Martin Wechselberger
published in: Indagationes Mathematicae. New Series
publication date: 2016-11-24T00:00:00Z
review text: The authors expand the scope of applicability of the geometric desingularization method for fast-slow systems of differential equations to include the classical problem of slow passage through Hopf bifurcations employing integration along a suitable choice of contour in the complex time plane and then the method of geometric desingularization which is also known as the blow-up method.
reviewed by: Valery A. Gaiko
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 37C45
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 6655825
zbMATH Keywords: fast-slow system
zbMATH Keywords: dynamic bifurcation
zbMATH Keywords: geometric desingularization
zbMATH Keywords: blow-up method
zbMATH Keywords: delayed loss of stability
zbMATH Keywords: exponentially-small splitting distance
MaRDI profile type: Publication
full work available at URL: j.indag.2015.11.005
OpenAlex ID: W2192388614
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DOI: 10.1016/J.INDAG.2015.11.005
description: scientific article; zbMATH DE number 6655825