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.
Grazing and border-collision in piecewise-smooth systems: a unified analytical framework / DI BERNARDO, Mario; Budd, C. J.; Champneys, A. R.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 86:12(2001), pp. 2553-2556. [10.1103/PhysRevLett.86.2553]
Grazing and border-collision in piecewise-smooth systems: a unified analytical framework
DI BERNARDO, MARIO;
2001
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.File in questo prodotto:
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