Linearized stability and instability of nonconstant periodic solutions of Lagrangian equations-Reference-Cited by-同舟云学术

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Linearized stability and instability of nonconstant periodic solutions of Lagrangian equations

Published:2018-04-15 Issue:12 Volume:41 Page:4853-4866
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Zhang Meirong¹^ORCID,Cen Xiuli²,Cheng Xuhua³

Affiliation:

1. Department of Mathematical Sciences; Tsinghua University; Beijing 100084 China

2. School of Mathematics (Zhuhai); Sun Yat-sen University; Zhuhai Guangdong, 519082 China

3. Department of Applied Mathematics; Hebei University of Technology; Tianjin 300401 China

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference27 articles.

1. Existence of oscillating motion for the three-body problem;Sitnikov;Dokl Akad Nauk,1960

2. On the Sitnikov problem;Liu;Cel Mech Dynam Syst,1990

3. Estudio cualitativo del problema de Sitnikov;Llibre;Publ Mat UAB,1980

4. Lectures on Celestial Mechanics

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

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

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

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

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