Tangencies: The Shape of the Discontinuity Surface

Mike R. Jeffrey
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Mike R. Jeffrey: University of Bristol, Department of Engineering Mathematics

Chapter Chapter 6 in Hidden Dynamics, 2018, pp 103-124 from Springer

Abstract: Abstract The presence of a discontinuity introduces a new elementary singularity to local dynamical systems theory, in the form of a tangency tangency between the flow flow and the discontinuity surface discontinuity surface . This chapter sets out the basic geometry of flows around such tangencies. They underlie the most important qualitative features of piecewise-smooth dynamics, forming the boundaries of sliding sliding regions, and points where the flow is poised between smooth evolution and switching.

Date: 2018
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DOI: 10.1007/978-3-030-02107-8_6

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