The periodic solutions for planar \(2N\)-body problems
type: Item
instance of: scholarly article
title: The periodic solutions for planar \(2N\)-body problems
zbMATH Open document ID: 1331.70029
DOI: 10.1155/2013/397194
author: Xiaohong Hu
author: Changrong Zhu
published in: Abstract and Applied Analysis
publication date: 2013-09-19T00:00:00Z
review text: Summary: Based on the works of \textit{L. M. Perko} and \textit{E. L. Walter} [Proc. Am. Math. Soc. 94, 301--309 (1985; Zbl 0583.70008)], \textit{R. Moeckel} and \textit{C. Simó} [SIAM J. Math. Anal. 26, No. 4, 978--998 (1995; Zbl 0830.34032)], and \textit{S. Zhang} and \textit{Q. Zhou} [Proc. Am. Math. Soc. 131, No. 7, 2161--2170 (2003; Zbl 1028.34039)], we study the necessary conditions and sufficient conditions for the uniformly rotating planar nested regular polygonal periodic solutions for the \(2N\)-body problems.
Mathematics Subject Classification ID: 70F10
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 6209279
Wikidata QID: Q58916158
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/397194
OpenAlex ID: W2019427675
cites work: Regular Polygon Solutions of the N-Body Problem
cites work: Bifurcation of Spatial Central Configurations from Planar Ones
cites work: Periodic solutions for planar 2N-body problems
cites work: Q5331504
description: scientific article; zbMATH DE number 6209279