Geometric singular perturbation theory for non-smooth dynamical systems
type: Item
instance of: scholarly article
title: Geometric singular perturbation theory for non-smooth dynamical systems
zbMATH Open document ID: 1323.34021
published in: Publicacions Matemàtiques
publication date: 2014-12-19T00:00:00Z
review text: From the closing remarks: ``Non-smooth singularly perturbed systems are studied in this paper. We investigate the effect of singular perturbations at tangency points. We prove that singularities of the type fold are robust with respect to singular perturbations. On the other hand, cusp singularities are not robust with respect to singular perturbations. We also study the unfolding of cusp singularities and hyperbolic equilibria.''
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34C26
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 6381926
zbMATH Keywords: Filippov systems
zbMATH Keywords: singular perturbation
zbMATH Keywords: tangency points
author: Pedro T. Cardin
author: Paulo R. da Silva
author: Marco A. Teixeira
MaRDI profile type: Publication
full work available at URL: publmat extra14 06
OpenAlex ID: W2013782800
DOI: 10.5565/PUBLMAT_EXTRA14_06
description: scientific article; zbMATH DE number 6381926