Connecting orbits for Newtonian-like \(N\)-body problems

DOI10.1186/s13660-015-0715-3zbMath1366.70017OpenAlexW1544415050WikidataQ59435088 ScholiaQ59435088MaRDI QIDQ264842

Kaili Xiang, Xiang Yu, Fengying Li

Publication date: 1 April 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0715-3

zbMATH Keywords

\(N\)-body problemconnecting orbitvariational minimizer

Mathematics Subject Classification ID

(n)-body problems (70F10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• Variational construction of connecting orbits
• Homoclinics and heteroclinics for a class of conservative singular Hamiltonian systems
• Some results on connecting orbits for a class of Hamiltonian systems
• How the method of minimization of action avoids singularities
• Heteroclinics for a reversible Hamiltonian system
• Connecting orbits for a reversible Hamiltonian system
• Heteroclinic chains for a reversible hamiltonian system
• Periodic solutions and their connecting orbits of Hamiltonian systems.

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