具有不变解析集的平面全局解析向量场的若干注释

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2021-02-21 DOI:10.1080/14689367.2021.1872502

I. A. García

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引用次数: 0

摘要

我们研究了在所有实平面上的平面解析向量场必须具有给定不变解析集的正则形式的确定问题。我们确定了一些条件，保证这个反问题的唯一解是平凡解。

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Some remarks on global analytic planar vector fields possessing an invariant analytic set

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.

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences