| Literature DB >> 11289978 |
M di Bernardo1, C J Budd, A R Champneys.
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.Year: 2001 PMID: 11289978 DOI: 10.1103/PhysRevLett.86.2553
Source DB: PubMed Journal: Phys Rev Lett ISSN: 0031-9007 Impact factor: 9.161