An Update on that Singularity

  • Mike R. JeffreyEmail author
Conference paper
Part of the Trends in Mathematics book series (TM, volume 8)


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.


Switching Surface Deep Role Multiple Switch Switching Layer Simple Geometrical Interpretation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Engineering MathematicsUniversity of BristolBristolUK

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