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EXISTENCE AND STABILITY OF PERIODIC ORBITS FOR A PERTURBED FOUR-DIMENSIONAL SYSTEM

机译：摄动四维系统周期轨道的存在性和稳定性

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摘要

The purpose of this paper is to study periodic orbits of a perturbed four dimensional system. Using bifurcation methods and the integral manifold theory, sufficient conditions for the existence and stability of periodic orbits of the perturbed four-dimensional system are obtained.

机译：本文的目的是研究一个扰动的四维系统的周期轨道。利用分岔方法和积分流形理论，获得了扰动四维系统周期轨道的存在和稳定性的充分条件。

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来源
《Annals of Differential Equations》|2007年|461-469|共9页
会议地点
作者
Henglin Lv; rnLei Song; rnChengming Zhao; rnShuchun Zhou; rnChunhua Xu; rnYing Ma;
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作者单位

Liu Xuanliang@School of Math. Sci., South China University of Technology, Guangzhou 510640--Meng Xiaoying@School of Math. Sci., South China University of Technology, Guangzhou 510640--Liu Yongqi@School of Math. Sci., South China University of Technology, Guangzhou 510640--;

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原文格式 PDF
正文语种
中图分类微分学;
关键词
bifurcation; periodic orbit; stability;

机译：分叉;周期轨道;稳定性;

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专利

1. EXISTENCE AND STABILITY OF PERIODIC ORBITS FOR A PERTURBED FOUR-DIMENSIONAL SYSTEM [J] . Liu Xuanliang, Meng Xiaoying, Liu Yongqi Annals of Differential Equations . 2007,第4期

机译：摄动四维系统周期轨道的存在性和稳定性
2. EXISTENCE AND STABILITY OF PERIODIC ORBITS FOR A PERTURBED FOUR-DIMENSIONAL SYSTEM [J] . Liu Xuanliang, Meng Xiaoying, Liu Yongqi 微分方程年刊：英文版 . 2007,第004期

机译：摄动四维系统周期轨道的存在性和稳定性
3. EXISTENCE OF PERIODIC SOLUTIONS TO A PERTURBED FOUR-DIMENSIONAL SYSTEM [J] . 微分方程年刊：英文版 . 2009,第001期

机译：摄动四维系统周期解的存在性
4. EXISTENCE AND STABILITY OF PERIODIC ORBITS FOR A PERTURBED FOUR-DIMENSIONAL SYSTEM [C] . National Conference on Qualitative Theory of Differential Equations . 2007

机译：扰动四维系统周期轨道的存在与稳定性
5. On orbital stability of synchronous solutions of some singularly perturbed dynamical systems of relaxation-type oscillators with excitatory coupling. [D] . Marchenko, Vadim V. 2001

机译：具有励磁耦合的松弛型振动器奇摄动系统同步解的轨道稳定性。
6. The Existence of Periodic Orbits and Invariant Tori for Some 3-Dimensional Quadratic Systems [O] . Yanan Jiang, Maoan Han, Dongmei Xiao -1

机译：一类3维二次系统周期轨道和不变托里的存在性。
7. Periodic solutions of a perturbed Kepler problem in the plane: from existence to stability [O] . Boscaggin, Alberto, Ortega, Rafael 2017

机译：平面扰动Kepler问题的周期解：来自存在稳定

EXISTENCE AND STABILITY OF PERIODIC ORBITS FOR A PERTURBED FOUR-DIMENSIONAL SYSTEM

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