Bifurcation diagrams and caustics of simple quasi border singularities

Fawaz Alharbi

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Bifurcation diagrams and caustics of simple quasi border singularities

机译：简单拟边界奇点的分歧图和因果关系

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摘要

Quasi boundary and quasi corner singularities of functions are discussed. They correspond to the classifications of Lagrangian projections with a boundary or a corner. The geometry of bifurcation diagrams and caustics of simple quasi boundary and quasi corner singularities in R~3 and E~4 are described.

机译：讨论了函数的拟边界和拟角奇点。它们对应于带有边界或角的拉格朗日投影的分类。描述了R〜3和E〜4中的分岔图的几何形状以及简单的拟边界和拟拐角奇点的腐蚀性。

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《Topology and its applications》 |2012年第2期|p.381-388|共8页
作者
Fawaz Alharbi;
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作者单位

Department of Mathematical Sciences, The University of Liverpool, United Kingdom;

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原文格式 PDF
正文语种 eng
中图分类
关键词
quasi border singularities; bifurcation diagram; caustic; lagrangian projection;

机译：准边界奇点;分叉图苛性拉格朗日投影;

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4. Analysis of border-collision bifurcation in a simple circuit [C] . Kousaka, T., Kido, . 2000

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5. Feedback control of border collision bifurcations in piecewise smooth systems. [D] . Hasouneh, Monther A. 2003

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6. Neural Excitability and Singular Bifurcations [O] . Peter De Maesschalck, Martin Wechselberger 2015

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7. Bifurcation diagrams and caustics of simple quasi border singularities [O] . Alharbi Fawaz 2012

机译：简单拟边界奇点的分叉图和焦散

Bifurcation diagrams and caustics of simple quasi border singularities

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