Multiple closed orbits for N-body-type problems

DOI10.1017/S0004972700031968zbMath0914.34041OpenAlexW1997651379MaRDI QIDQ4216655

Zhang, Shiqing

Publication date: 16 June 1999

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700031968

zbMATH Keywords

collisionvariational functionalLjusternik-Schnirelmann theorynoncollisionmultiple closed orbits

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) (n)-body problems (70F10) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body problem

Cites Work

• Analytical mini-max methods for Hamiltonian brake orbits of prescribed energy
• Closed orbits of fixed energy for singular Hamiltonian systems
• Periodic solutions to some \(N\)-body type problems: The fixed energy case
• Periodic solutions of singular Lagrangian systems
• A class of periodic solutions of the \(N\)-body problem
• Symmetries and noncollision closed orbits for planar N-body-type problems

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