An Update on that Singularity

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Abstract

It took nearly 30 years from the translation of Filippov’s seminal book to be able to say that the two-fold singularity is understood. We now know that its structural stability requires nonlinear switching or hidden terms, and that it comes in three main flavours, with numerous subclasses between which bifurcations can occur. We know that it is neither an attractor nor a repellor, but a bridge between attracting and repelling sliding and, in certain cases, is a source of determinacy-breaking.
Original languageEnglish
Title of host publicationExtended Abstracts Spring 2016
Subtitle of host publicationNonsmooth Dynamics
PublisherBirkhäuser Basel
Pages107-122
Number of pages16
ISBN (Electronic)9783319556420
ISBN (Print)9783319556413
DOIs
Publication statusPublished - 27 May 2017

Publication series

NameTrends in Mathematics
PublisherBirkhäuser Basel
Volume8
ISSN (Print)2297-0215

Keywords

  • Switching Surface
  • Deep Role
  • Multiple Switch
  • Switching Layer
  • Simple Geometrical Interpretation

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