Center Conditions and Limit Cycle Bifurcations for Two Classes of Rigid Systems

SANG Bo

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Center Conditions and Limit Cycle Bifurcations for Two Classes of Rigid Systems

更新时间：2023-12-11

- Center Conditions and Limit Cycle Bifurcations for Two Classes of Rigid Systems
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 53, Issue 6, Pages: 146-149(2014)
- 作者机构：
  
  聊城大学数学科学学院,山东,聊城,252059
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2014，
  
  Published Online：25 November 2014，
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SANG Bo. Center Conditions and Limit Cycle Bifurcations for Two Classes of Rigid Systems. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 53(6):146-149(2014)
DOI：

SANG Bo. Center Conditions and Limit Cycle Bifurcations for Two Classes of Rigid Systems. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 53(6):146-149(2014) DOI：

摘要

对于一类六次一致等时系统，给出原点为中心的充要条件，并证明从细焦点至多可分支出３个极限环；对于一类七次一致等时系统，给出原点为中心的充要条件，并证明从细焦点至多可分支出４个极限环。

Abstract

For a class of six order rigid systems

the necessary and sufficient conditions for the origin to be center are given. And the maximal number of limit cycles bifurcating from the weak focus is proved to be 3. For a class of seven order rigid systems

the necessary and sufficient conditions for the origin to be center are given. And the maximal number of limit cycles bifurcating from the weak focus is proved to be 4.

关键词

一致等时系统约化焦点量时间可逆性极限环

Keywords

rigid systemreduced focal valuestime-reversibilitylimit cycle

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Related Author

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Related Institution

School of Mathematical Sciences， Liaocheng University

School of Aeronautics and Astronautics， Sun Yat-sen University

中山大学力学系,广东广州 510275,

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School of Engineering, Sun Yatsen University

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