Torus knot choreographies in the n-body problem-Reference-Cited by-同舟云学术

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Torus knot choreographies in the n-body problem

Published:2021-01-01 Issue:1 Volume:34 Page:313-348
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Calleja Renato,García-Azpeitia Carlos,Lessard Jean-Philippe,James J D Mireles

Funder

UNAM-PAPIIT

Natural Sciences and Engineering Research Council of Canada

Division of Mathematical Sciences

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/abcb08/pdf

Reference75 articles.

1. Braids in classical gravity;Moore;Phys. Rev. Lett.,1993

2. A remarkable periodic solution of the three-body problem in the case of equal masses;Chenciner;Ann. Math.,2000

3. New families of solutions in N-body problems;Simó,2000

4. On the existence of collisionless equivariant minimizers for the classical n-body problem;Ferrario;Inventiones Math.,2004

5. Action minimizing orbits in the n-body problem with simple choreography constraint;Barutello;Nonlinearity,2004

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1. Stationary non-radial localized patterns in the planar Swift-Hohenberg PDE: Constructive proofs of existence;Journal of Differential Equations;2025-01

2. Rigorous Computation of Solutions of Semilinear PDEs on Unbounded Domains via Spectral Methods;SIAM Journal on Applied Dynamical Systems;2024-07-22

3. Computer Assisted Proofs for Transverse Collision and Near Collision Orbits in the Restricted Three Body Problem;SSRN Electronic Journal;2024

4. Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem;Journal of Differential Equations;2023-09

5. Exploring the electric field around a loop of static charge: Rectangles, stadiums, ellipses, and knots;Physical Review Research;2022-09-30

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