Regularization of Isolated Codimension-2 Discontinuity Sets

Regularization of Isolated Codimension-2 Discontinuity Sets
复制标题

DOI：
10.1137/21m142157x
复制
发表时间：
2021-01
期刊：
SIAM J. Appl. Dyn. Syst.
影响因子：
--
通讯作者：
N. Cheesman;K. U. Kristiansen;S. Hogan
N. Cheesman;K. U. Kristiansen;S. Hogan
中科院分区：
其他
文献类型：
--
作者：
N. Cheesman;K. U. Kristiansen;S. Hogan

文献摘要

被引文献

相似文献

标准的分段光滑（PWS）动力系统的工作，余维1不连续集，依赖于Filippov框架，这并不总是容易推广到系统具有较高的余维不连续。这些高阶简并在应用中发生，空间库仑摩擦是突出的例子。在这项工作中，我们考虑PWS系统孤立余维2间断集使用正则化和爆破研究的动力学。我们提出了一个一般的框架，并给出了具体的结果，在一类问题的局部动力学，广义Filippov滑动，交叉和滑动向量场。
Work on standard piecewise-smooth (PWS) dynamical systems, with codimension-1 discontinuity sets, relies on the Filippov framework, which does not always readily generalise to systems with higher codimension discontinuities. These higher order degeneracies occur in applications, with spatial Coulomb friction being the prominent example. In this work, we consider PWS systems with isolated codimension-2 discontinuity sets using regularization and blowup to study the dynamics. We present a general framework and give specific results for the local dynamics in a class of problems, and generalising Filippov sliding, crossing and sliding vector fields.