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Some remarks on global analytic planar vector fields possessing an invariant analytic set
Dynamical Systems ( IF 0.5 ) Pub Date : 2021-02-21 , DOI: 10.1080/14689367.2021.1872502 Isaac A. García 1
中文翻译:
关于具有不变解析集的全局解析平面向量场的一些说明
更新日期:2021-02-21
Dynamical Systems ( IF 0.5 ) Pub Date : 2021-02-21 , DOI: 10.1080/14689367.2021.1872502 Isaac A. García 1
Affiliation
We study the problem of determining the canonical form that a planar analytic vector field in all the real plane can have to possess a given invariant analytic set. We determine some conditions that guarantee the only solution to this inverse problem is the trivial one.
中文翻译:
关于具有不变解析集的全局解析平面向量场的一些说明
我们研究了确定所有实平面中的平面解析向量场可以具有给定不变解析集的规范形式的问题。我们确定了一些条件来保证这个逆问题的唯一解决方案是平凡的。