Weak center;
Lambda - Omega system;
Composition center;
Center condition;
COMPUTING CENTER CONDITIONS;
D O I:
10.1007/s40840-021-01229-1
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper, we study the weak center of a class of Lambda - Omega differential systems and give the necessary and sufficient conditions for the origin point to be a center. As corollaries, we prove that the two conjectures about the weak center problem for the Lambda - Omega differential systems are correct.
机构:
Sun Yat sen Univ, Sch Math Zhuhai, Zhuhai 519086, Peoples R ChinaSun Yat sen Univ, Sch Math Zhuhai, Zhuhai 519086, Peoples R China
Liu, Chang Jian
Llibre, Jaume
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机构:
Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, SpainSun Yat sen Univ, Sch Math Zhuhai, Zhuhai 519086, Peoples R China
Llibre, Jaume
Ramirez, Rafael
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机构:
Univ Rovira I Virgili, Dept Engn Mecan, Av Paisos Catalans 26, Tarragona 43007, SpainSun Yat sen Univ, Sch Math Zhuhai, Zhuhai 519086, Peoples R China
Ramirez, Rafael
Ramirez, Valentin
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机构:
Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, SpainSun Yat sen Univ, Sch Math Zhuhai, Zhuhai 519086, Peoples R China
机构:
Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R ChinaGuilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China
Huang, Wentao
Liu, Yirong
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机构:
Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R ChinaGuilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China
Liu, Yirong
Zhu, Fanglai
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机构:
Tongji Univ, Coll Elect & Informat Engn, Shanghai 200092, Peoples R ChinaGuilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China