Grazing and border-collision in piecewise-smooth systems: A unified analytical framework
Grazing and border-collision in piecewise-smooth systems: A unified analytical framework
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DOI：
10.1103/physrevlett.86.2553
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发表时间：
2001-03-19
影响因子：
8.6
通讯作者：
Champneys, AR
中科院分区：
文献类型：
--
作者：
di Bernardo, M;Budd, CJ;Champneys, AR
本文给出了物理过程的分段光滑模型中掠分岔的规范形映射的全面推导。这将光栅与非光滑贴图中的边界碰撞联系起来。与以前的文献相反，分段线性映射只对应于非光滑的不连续边界。所有其他映射都有平方根或（3/2）型奇点。
A comprehensive derivation is presented of normal form maps for grazing bifurcations in piecewise smooth models of physical processes. This links gratings 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.