Three-Body Relative Equilibria on $$\mathbb{S}^{2}$$-Reference-Cited by-同舟云学术

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Three-Body Relative Equilibria on $$\mathbb{S}^{2}$$

Published:2023-10 Issue:4-5 Volume:28 Page:690-706
ISSN:1560-3547
Container-title:Regular and Chaotic Dynamics
language:en
Short-container-title:Regul. Chaot. Dyn.

Author:

Fujiwara Toshiaki,Pérez-Chavela Ernesto

Publisher

Pleiades Publishing Ltd

Subject

Mechanical Engineering,Applied Mathematics,Mathematical Physics,Modeling and Simulation,Statistical and Nonlinear Physics,Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1134/S1560354723040111.pdf

Reference20 articles.

1. Borisov, A. V., Mamaev, I. S., and Bizyaev, I. A., The Spatial Problem of $$2$$ Bodies on a Sphere: Reduction and Stochasticity, Regul. Chaotic Dyn., 2016, vol. 21, no. 5, pp. 556–580.

2. Borisov, A. V., Mamaev, I. S., and Kilin, A. A., Two-Body Problem on a Sphere: Reduction, Stochasticity, Periodic Orbits, Regul. Chaotic Dyn., 2004, vol. 9, no. 3, pp. 265–279.

3. Diacu, F., Pérez-Chavala, E., and Santoprete, M., The $$n$$-Body Problem in Spaces of Constant Curvature: Part 1. Relative Equilibria, J. Nonlinear Sci., 2012, vol. 22, no. 2, pp. 247–266.

4. Atlantis Studies in Dynamical Systems;F. Diacu,2012

5. Diacu, F. and Pérez-Chavala, E., Homographic Solutions of the Curved $$3$$-Body Problem, J. Differential Equations, 2011, vol. 250, no. 1, pp. 340–366.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Continuations and Bifurcations of Relative Equilibria for the Positively Curved Three-Body Problem;Regular and Chaotic Dynamics;2024-09-05

2. Mass-Independent Shapes for Relative Equilibria in the Two-Dimensional Positively Curved Three-Body Problem;Journal of Nonlinear Science;2024-07-15

3. Relative equilibria of mechanical systems with rotational symmetry;Nonlinearity;2024-07-15

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