扰动开普勒-哈密顿系统

IF 1.4 Q2 MATHEMATICS, APPLIED

International Journal of Differential Equations Pub Date : 2023-01-09 DOI:10.1155/2023/3575701

Riadh Chteoui

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引用次数: 1

摘要

本文利用平面Keplerian Hamilton系统圆解的非一般性性质，应用隐函数定理，研究了一类摄动平面Keplelian Hamiltonian系统，我们证明了这种扰动系统的非碰撞周期解是从开普勒哈密顿系统的圆解流形分叉出来的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Perturbed Keplerian Hamiltonian Systems

This paper deals with a class of perturbation planar Keplerian Hamiltonian systems, by exploiting the nondegeneracy properties of the circular solutions of the planar Keplerian Hamiltonian systems, and by applying the implicit function theorem, we show that noncollision periodic solutions of such perturbed system bifurcate from the manifold of circular solutions for the Keplerian Hamiltonian system.

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来源期刊

International Journal of Differential Equations MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

审稿时长

20 weeks