Grazing and border-collision in piecewise-smooth systems: a unified analytical framework |
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| Authors: | di Bernardo M Budd C J Champneys A R |
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| Institution: | Department of Engineering Mathematics, University of Bristol, UK. M.diBernardo@bristol.ac.uk |
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| Abstract: | A comprehensive derivation is presented of normal form maps for grazing bifurcations in piecewise smooth models of physical processes. This links grazings with border-collisions in nonsmooth maps. Contrary to previous literature, piecewise linear maps correspond only to nonsmooth discontinuity boundaries. All other maps have either square-root or (3/2)-type singularities. |
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