Rose solutions with three petals for planar 4-body problems

被引：5

作者：

Deng ChunHua ^{[1
,2
,3
]}

Zhang ShiQing ^{[1
,2
]}

Zhou Qing ^{[4
]}

机构：

[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China

[2] Sichuan Univ, Coll Math, Chengdu 610064, Peoples R China

[3] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223001, Peoples R China

[4] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 12期

基金：

中国国家自然科学基金;

关键词：

4-body problems with Newtonian potentials; rose solutions with three petals; winding numbers; variational minimization methods; N-BODY PROBLEMS; ACTION-MINIMIZING ORBITS; PERIODIC-SOLUTIONS; 3-BODY PROBLEM; LAGRANGIAN SOLUTIONS; VARIATIONAL-METHODS; EQUAL MASSES; MINIMIZATION; PROPERTY;

D O I：

10.1007/s11425-010-4021-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For planar Newtonian 4-body problems with equal masses, we use variational methods to prove the existence of a non-collision periodic choreography solution such that all bodies move on a rose-type curve with three petals.

引用

页码：3085 / 3094

页数：10

共 50 条

[21] Existence of Solutions for Planar Kirchhoff-Choquard Problems
Niu, Rui
Wu, Tianxing
MATHEMATICS, 2023, 11 (17)
[22] Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision
Dias, Lucia Brandao
Vidal, Claudio
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2010, 106 (04) : 339 - 370
[23] Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision
Lúcia Brandão Dias
Claudio Vidal
Celestial Mechanics and Dynamical Astronomy, 2010, 106 : 339 - 370
[24] Variational methods for periodic solutions of Newtonian N-body problems
Zhang Shiqing
NEW TRENDS IN ASTRODYNAMICS AND APPLICATIONS, 2005, 1065 : 414 - 428
[25] New periodic solution for planar 8-body problems
Zhang, SQ
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2004, 89 (02) : 141 - 144
[26] New periodic solution for planar 8-body problems
Shiqing Z.
Celestial Mechanics and Dynamical Astronomy, 2004, 89 (2) : 141 - 144
[27] Three weak solutions for elliptic Dirichlet problems
Bonanno, Gabriele
Bisci, Giovanni Molica
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 382 (01) : 1 - 8
[28] New Periodic Solutions for 3-Body Problems
Shiqing Zhang
Qing Zhou
Yurong Liu
Celestial Mechanics and Dynamical Astronomy, 2004, 88 : 365 - 378
[29] New periodic solutions for 3-body problems
Zhang, SQ
Zhou, Q
Liu, YR
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2004, 88 (04) : 365 - 378
[30] PERIODIC-SOLUTIONS WITH PRESCRIBED ENERGY FOR SOME KEPLERIAN N-BODY PROBLEMS
AMBROSETTI, A
TANAKA, K
VITILLARO, E
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1994, 11 (06): : 613 - 632

← 1 2 3 4 5 →