On the Stability of Symmetric Periodic Orbits of the Elliptic Sitnikov Problem-Reference-Cited by-同舟云学术

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On the Stability of Symmetric Periodic Orbits of the Elliptic Sitnikov Problem

Published:2020-01 Issue:2 Volume:19 Page:1271-1290
ISSN:1536-0040
Container-title:SIAM Journal on Applied Dynamical Systems
language:en
Short-container-title:SIAM J. Appl. Dyn. Syst.

Author:

Cen Xiuli,Cheng Xuhua,Huang Zaitang,Zhang Meirong^ORCID

Funder

National Natural Science Foundation of China

Natural Science Foundation of Hebei Province

Natural Science Foundation of Guangxi Province

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Modeling and Simulation,Analysis

Link

https://epubs.siam.org/doi/pdf/10.1137/19M1258384

Reference19 articles.

1. On the families of periodic orbits which bifurcate from the circular Sitnikov motions

2. Variational constructions for some satellite orbits in periodic gravitational force fields

3. Solution of the Sitnikov Problem

4. Quantitative Stability of Certain Families of Periodic Solutions in the Sitnikov Problem

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1. A dual principle for symmetric periodic solutions Bi-stability in noninterdigitated Comb-drive MEMS;Discrete and Continuous Dynamical Systems - B;2024

2. On a bi-stability regime and the existence of odd subharmonics in a Comb-drive MEMS model with cubic stiffness;Nonlinear Analysis: Real World Applications;2023-12

3. The Existence of Odd Symmetric Periodic Solutions in the Generalized Elliptic Sitnikov (N+1)-Body Problem;Symmetry;2023-05-19

4. On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov (N + 1)-body problem;Journal of Differential Equations;2023-02

5. A Study on the Periodic Solutions of a Class of Newton Equations with Special Symmetry;Advances in Applied Mathematics;2023

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