Hamiltonian systems with a discrete symmetry

DOI10.1016/0022-0396(81)90059-0zbMath0438.70022OpenAlexW2009827249MaRDI QIDQ1142055

Kenneth R. Meyer

Publication date: 1981

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90059-0

zbMATH Keywords

symplectic geometryLagrangian submanifoldssymmetries

Mathematics Subject Classification ID

Three-body problems (70F07) Hamilton's equations (70H05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (12)

Instability of closed orbits obtained by minimization* ⋮ Volume growth in the component of fibered twists ⋮ Convexity and Tightness for Restrictions of Hamiltonian Functions to Fixed Point Sets of an Antisymplectic Involution ⋮ Unknottedness of real Lagrangian tori in \(S^2 \times S^2\) ⋮ On averaging, reduction, and symmetry in Hamiltonian systems ⋮ Time-reversible Hamiltonian systems ⋮ Symmetries, conservation laws, and time reversibility for Hamiltonian systems with external forces ⋮ Lower-dimensional tori in reversible systems ⋮ Unnamed Item ⋮ Continuation of periodic solutions in three dimensions ⋮ Hyperbolic minimizing geodesics ⋮ Unnamed Item

Cites Work

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• Reduction of symplectic manifolds with symmetry
• Symplectic manifolds and their Lagrangian submanifolds
• Canonical forms for symplectic and Hamiltonian matrices
• Periodic solutions of the N-body problem

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