On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov $(N + 1)$-body problem

DOI10.1016/J.JDE.2022.11.020zbMath1504.70013OpenAlexW4310347500MaRDI QIDQ2106551

Feng Wang, Zaitao Liang, Xuhua Cheng

Publication date: 16 December 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.11.020

zbMATH Keywords

stability Hill equation symmetric periodic solution generalized elliptic Sitnikov $(N + 1)$-body problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability for nonlinear problems in mechanics (70K20) (n)-body problems (70F10)

Cites Work

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Twist Character of the Least Amplitude Periodic Solution of the Forced Pendulum
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Periodic solutions of the N-body problem
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On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov \((N + 1)\)-body problem