Quantitative Stability of Certain Families of Periodic Solutions in the Sitnikov Problem-Reference-Cited by-同舟云学术

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

Published:2018-01 Issue:1 Volume:17 Page:52-77
ISSN:1536-0040
Container-title:SIAM Journal on Applied Dynamical Systems
language:en
Short-container-title:SIAM J. Appl. Dyn. Syst.

Author:

Galán Jorge,Nún͂ez Daniel,Rivera Andrés

Funder

Capital Semilla

Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Modeling and Simulation,Analysis

Link

https://epubs.siam.org/doi/pdf/10.1137/17M1113990

Reference23 articles.

1. QUASIRANDOM DYNAMICAL SYSTEMS. II. ONE-DIMENSIONAL NONLINEAR OSCILLATIONS IN A FIELD WITH PERIODIC PERTURBATION

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

3. Numerical results to the Sitnikov-problem

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

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

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

3. Bifurcation of periodic orbits for the N-body problem, from a nongeometrical family of solutions;Celestial Mechanics and Dynamical Astronomy;2022-02

4. A Proof for a Stability Conjecture on Symmetric Periodic Solutions of the Elliptic Sitnikov Problem;SIAM Journal on Applied Dynamical Systems;2021-01

5. On the Stability of Symmetric Periodic Orbits of the Elliptic Sitnikov Problem;SIAM Journal on Applied Dynamical Systems;2020-01

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