由线性中心和无平衡点线性系统组成的一条直线分隔的不连续分段微分系统的显式非代数极限环

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2021-12-01 DOI:10.2478/tmmp-2021-0019

A. Berbache

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引用次数: 0

摘要

摘要本文研究了当两个以直线分隔的微分系统中一个是无平衡点的线性系统，另一个是线性中心的情况下，由两个以直线分隔的微分系统组成的不连续分段微分线性系统。我们将证明交叉极限环的最大个数为1，如果存在，它是非代数的，并且是解析给出的。

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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Explicit Non Algebraic Limit Cycle for a Discontinuous Piecewise Differential Systems Separated by One Straight Line and Formed by Linear Center and Linear System Without Equilibria

Abstract In this paper, we deal with the discontinuous piecewise differential linear systems formed by two differential systems separated by a straight line when one of these two differential systems is a linear without equilibria and the other is a linear center. We are going to show that the maximum number of crossing limit cycles is one, and if exists, it is non algebraic and analytically given.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量