Multiple geometrically distinct closed noncollision orbits of fixed energy for N-body type problems with strong force potentials

DOI10.1090/S0002-9939-96-03751-3zbMath0863.34037OpenAlexW1572468328MaRDI QIDQ4717070

Zhang, Shiqing

Publication date: 15 June 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03751-3

zbMATH Keywords

\(N\)-body type problemsequivariant Ljusternik-Schnirelmann theorygeometrically distinct noncollision periodic orbits

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) (n)-body problems (70F10)

Related Items (5)

Multiple closed orbits of fixed energy for \(N\)-body-type problems with gravitational potentials ⋮ Non-simultaneous collision periodic solutions for \(N\)-body problems ⋮ Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body problem ⋮ New periodic solutions for a class of singular Hamiltonian systems ⋮ New periodic solutions of singular Hamiltonian systems with fixed energies

Cites Work

• Unnamed Item
• Periodic solutions for N-body type problems
• Analytical mini-max methods for Hamiltonian brake orbits of prescribed energy
• 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
• Collisionless periodic solutions to some three-body problems
• Periodic solutions to some problems of \(n\)-body type
• Multiple closed orbits of fixed energy for \(N\)-body-type problems with gravitational potentials
• Lectures on celestial mechanics. Transl. from the German by C. I. Kalme.
• A class of periodic solutions of the \(N\)-body problem
• 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

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