Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities

Huang Jianfeng; Liang Haihua; Llibre Jaume

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Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities

机译：具有均质非线性的平面多项式差速系统的极限循环的不存在和唯一性

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摘要

In this paper we study the limit cycles of the planar polynomial differential systems

机译：在本文中，我们研究了平面多项式差速系统的极限循环

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来源
《Journal of Differential Equations》 |2018年第9期|共26页
作者
Huang Jianfeng; Liang Haihua; Llibre Jaume;
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作者单位

Jinan Univ Dept Math Guangzhou 510632 Guangdong Peoples R China;

Guangdong Polytech Normal Univ Sch Math &

Syst Sci Guangzhou 510665 Guangdong Peoples R China;

Univ Autonoma Barcelona Dept Matemat E-08193 Barcelona Catalonia Spain;

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原文格式 PDF
正文语种 eng
中图分类微分方程、积分方程;
关键词
Limit cycles; Non-existence and uniqueness; Polynomial differential systems; Homogeneous nonlinearities;

机译：限制循环;不存在和唯一性;多项式差动系统;均匀的非线性;
入库时间 2022-08-20 09:07:06

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专利

1. Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities [J] . Huang Jianfeng, Liang Haihua, Llibre Jaume Journal of Differential Equations . 2018,第9期

机译：具有均质非线性的平面多项式差速系统的极限循环的不存在和唯一性
2. Global Phase Portraits of Kukles Differential Systems with Homogeneous Polynomial Nonlinearities of Degree 6 Having a Center and Their Small Limit Cycles [J] . Llibre Jaume, da Silva Mauricio Fronza International journal of bifurcation and chaos in applied sciences and engineering . 2016,第3期

机译：具有中心和小极限环的6次齐次多项式非线性的Kukles微分系统的整体相位肖像
3. On the Limit Cycles of the Polynomial Differential Systems with a Linear Node and Homogeneous Nonlinearities [J] . Jaume Llibre, Jiang Yu, Xiang Zhang International journal of bifurcation and chaos in applied sciences and engineering . 2014,第5期

机译：具有线性节点和齐次非线性项的多项式微分系统的极限环
4. Existence and uniqueness and stability of limit cycle for a class of planar nonlinear systems [C] . Liu Xing-Guo, Liu Bin, Lv Yong Chinese Control Conference . 2013

机译：一类平面非线性系统极限环的存在唯一性与稳定性
5. On stability and limit cycles in nonlinear dynamical systems [D] . Shafik, Emad Nazmi 1997

机译：关于非线性动力系统的稳定性和极限环
6. On the Limit Cycles of a Class of Planar Singular Perturbed Differential Equations [O] . Yuhai Wu, Jingjing Zhou -1

机译：一类平面奇异摄动微分方程的极限环
7. Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities [O] . Jianfeng Huang, Haihua Liang, Jaume Llibre 2018

机译：具有均质非线性的平面多项式差速系统的极限循环的不存在和唯一性
8. Uniqueness of Limit Cycles in Polynomial Systems with Algebraic Invariants [R] . Zegeling, A., Kooij, R. E. 1992

机译：具有代数不变量的多项式系统极限环的唯一性

Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities

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