Integral Curves of a Vector Field with a Fractal Discontinuity

Mike Jeffrey, J. Hahn

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

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Abstract

Nonsmooth systems are typically studied with smooth or piecewise-smooth boundaries between smooth vector fields, especially with linear or hyper-planar boundaries. What happens when there is a boundary that is not as simple, for example a fractal? Can a solution to such a system slide or “chatter” along this boundary? It turns out that the dynamics is rather fascinating, and yet contained within A.F. Filippov’s theory (as promised in Utkin, Comments for the continuation method by A.F. Filippov for discontinuous systems, parts I and II, [2] from this volume).
Original languageEnglish
Title of host publicationExtended Abstracts Spring 2016
Subtitle of host publicationNonsmooth Dynamics
PublisherBirkhäuser Basel
Pages95-99
Number of pages5
ISBN (Electronic)9783319556420
ISBN (Print)9783319556413
DOIs
Publication statusPublished - 27 May 2017

Publication series

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

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