Generic bifurcation of refracted systems

Generic bifurcation of refracted systems
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DOI:
10.1016/j.aim.2012.11.008
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发表时间:
2013-02
影响因子:
1.7
通讯作者:
C. Buzzi;J. Medrado;M. Teixeira
C. Buzzi;J. Medrado;M. Teixeira
中科院分区:
数学1区
文献类型:
--
作者:
C. Buzzi;J. Medrado;M. Teixeira

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在这篇文章中,我们讨论一些定性和几何方面的非光滑动力系统理论。我们的目标是研究一类称为折射系统的分片光滑向量场的单参数族中的典型奇点的图分支。这类系统有一个余维为1的子流形作为其不连续集。
In this article we discuss some qualitative and geometric aspects of non-smooth dynamical systems theory. Our goal is to study the diagram bifurcation of typical singularities that occur generically in one parameter families of certain piecewise smooth vector fields named Refracted Systems. Such systems has a codimension-one submanifold as its discontinuity set.