Non-simultaneous collision periodic solutions for \(N\)-body problems

DOI10.1006/JMAA.1997.5503zbMath0904.70008OpenAlexW2060688105MaRDI QIDQ1365089

Zhang, Shiqing, Zheng-Rong Liu

Publication date: 15 April 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5503

zbMATH Keywords

existence of solutioncritical points of functional

Mathematics Subject Classification ID

(n)-body problems (70F10)

Cites Work

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• Periodic solutions for N-body type problems
• Periodic solutions of Hamiltonian systems of 3-body type
• Infinite cup length in free loop spaces with an application to a problem of the N-body type
• Closed orbits of fixed energy for a class of \(N\)-body problems
• Periodic solutions to some \(N\)-body type problems: The fixed energy case
• Collisionless periodic solutions to some three-body problems
• Periodic solutions to some problems of \(n\)-body type
• A class of periodic solutions of the \(N\)-body problem
• Periodic solutions with prescribed energy for some Keplerian \(N\)-body problems
• Symmetries and noncollision closed orbits for planar N-body-type problems
• Noncollision solutions to some singular minimization problems with Keplerian-like potentials
• Conservative Dynamical Systems Involving Strong Forces
• Multiple geometrically distinct closed noncollision orbits of fixed energy for N-body type problems with strong force potentials
• On the existence of infinitely many periodic solutions to some problems of n‐body type

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