On Existence of Subharmonic Orbits in Perturbed Hamiltomian Systems

Xiao-song Yang

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On Existence of Subharmonic Orbits in Perturbed Hamiltomian Systems

机译：扰动的哈密顿系统中次谐波轨道的存在

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摘要

In this paper the existence of subharmonic orbits in planar Hamiltonian system x = f(x) + εg(x,t) is revisited. The existing error in treatment on this problem is discussed and a new rigorous treatment is given.

机译：本文重新讨论了平面哈密顿系统x = f（x）+εg（x，t）中次谐波轨道的存在。讨论了该问题的现有处理错误，并给出了新的严格处理方法。

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《Bulletin of the Polish Academy of Sciences. Mathematics》 |2000年第2期|共5页
作者
Xiao-song Yang;
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正文语种 eng
中图分类数学;
关键词
Hamiltonian system; subharmonic orbit; fixed point;

机译：哈密顿体系;次谐波轨道;不动点;

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专利

1. On Existence of Subharmonic Orbits in Perturbed Hamiltomian Systems [J] . Xiao-song Yang Bulletin of the Polish Academy of Sciences. Mathematics . 2000,第2期

机译：扰动的哈密顿系统中次谐波轨道的存在
2. 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
3. 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
4. EXISTENCE AND STABILITY OF PERIODIC ORBITS FOR A PERTURBED FOUR-DIMENSIONAL SYSTEM [C] . Henglin Lv, rnLei Song, rnChengming Zhao, Annals of Differential Equations . 2007

机译：摄动四维系统周期轨道的存在性和稳定性
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. Homoclinic orbits in a first order superquadratic hamiltonian system: Convergence of subharmonic orbits [O] . Tanaka Kazunaga 1991

机译：一阶超二次哈密尔顿系统中的同宿轨道：次谐波轨道的收敛

On Existence of Subharmonic Orbits in Perturbed Hamiltomian Systems

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