Multiple forced rotational solutions for the planar \(N\)-pendulum equation

DOI10.1007/S10114-017-7037-YzbMath1382.37064OpenAlexW2767092080MaRDI QIDQ681744

Hui Qiao

Publication date: 13 February 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-017-7037-y

zbMATH Keywords

multiplicitycritical pointLusternik-Schnirelman theoryplanar \(N\)-pendulumrotational solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical systems in classical and celestial mechanics (37N05) Higher-dimensional generalizations in rigid body dynamics (70E45)

Cites Work

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• Periodic solutions of Lagrangian systems with bounded potential
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• Multiple solutions of the forced double pendulum equation
• Lusternik-Schnirelman theory on Banach manifolds
• Rotation type solutions for spatially periodic Hamiltonian systems
• Lyusternik-Schnirelman Theory for Flows and Periodic Orbits for Hamiltonian Systems on T ⁿ × R ⁿ
• Multiple periodic solutions for lagrangian systems in Tn
• On a Class of Functionals Invariant under a Z n Action
• A multiplicity result for the periodically forced \(N\)-pendulum with nonzero-mean valued forcings

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