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Grazing and border-collision in piecewise-smooth systems : a unified analytical framework

Research output: Working paperWorking paper and Preprints

Original languageEnglish
StatePublished - 2000


A new comprehensive derivation of normal form maps for grazing bifurcations in piecewise-smooth flows is presented. This links grazings with so-called border-collisions in piecewise-smooth maps. Contrary to previous literature, piecewise-linear local maps are derived only at non-smooth discontinuity boundaries. All other maps have either square-root or (3/2)-type singularities.

Additional information

Additional information: Preprint of a paper later published by the American Physical Society (2001), Physical Review Letters, 86(12), pp.2553-2556, ISSN 0031-9007



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