Linear stability of the elliptic relative equilibrium with (1 + n)-gon central configurations in planar n-body problem-Reference-Cited by-同舟云学术

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Linear stability of the elliptic relative equilibrium with (1 + n)-gon central configurations in planar n-body problem

Published:2020-01-29 Issue:3 Volume:33 Page:1016-1045
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Hu Xijun,Long Yiming,Ou Yuwei

Funder

National Natural Science Foundation of China

LPMC of Ministry of Education of China, Nankai University, Nankai Zhide Foundation

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1361-6544/ab5927/pdf

Reference19 articles.

1. Some problems on the classical n-body problem

2. Morse Index and Linear Stability of the Lagrangian Circular Orbit in a Three-Body-Type Problem Via Index Theory

3. Linear Stability of Elliptic Lagrangian Solutions of the Planar Three-Body Problem via Index Theory

4. Morse index and stability of elliptic Lagrangian solutions in the planar three-body problem

5. An estimation for the hyperbolic region of elliptic Lagrangian solutions in the planar three-body problem

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1. Linear stability of elliptic relative equilibria of four-body problem with two infinitesimal masses;Advances in Mathematics;2023-11

2. Linear Stability of an Elliptic Relative Equilibrium in the Spatial $$n$$-Body Problem via Index Theory;Regular and Chaotic Dynamics;2023-10

3. Linear stability of the elliptic relative equilibrium with $ (1 + 7) $-gon central configuration in planar $ N $-body problem;Discrete and Continuous Dynamical Systems;2023

4. Linear instability of elliptic rhombus solutions to the planar four-body problem;Nonlinearity;2021-10-06

5. Index iteration theories for periodic orbits: Old and new;Nonlinear Analysis;2020-12

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