具有非解析中心条件的无特征方向系统

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2023-12-01 DOI:10.1134/s0012266123120030

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引用次数: 0

摘要

摘要获得了一个具有退化奇点且无特征方向的五阶实自微分系统。在系统奇点为单色性的系统参数集边界点上的非解析函数决定了在给定点上中心的必要和充分条件。在违反其解析性的点上计算该函数的渐近表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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System without Characteristic Directions with a Nonanalytic Center Condition

Abstract

A real autonomous differential system of the fifth degree with a degenerate singular point without characteristic directions is obtained. The necessary and sufficient condition for the center at a given point is determined by a function that is not analytic at the boundary point of the set of system parameters for which the singular point of the system is monodromic. An asymptotic representation of this function is calculated at the point where its analyticity is violated.

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来源期刊

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.