The Hill determinant of a periodic orbit
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Publication:749252
zbMath0712.70023MaRDI QIDQ749252
Publication date: 1988
Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)
critical pointHill equationinfinite determinantgeneralized Hessian of Hamilton's action functionalLagrangian mechanical systemtheory of the Moon
Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Celestial mechanics (70F15)
Related Items (5)
Eigenvalue problem of Sturm-Liouville systems with separated boundary conditions ⋮ Hill’s formula for $g$-periodic trajectories of Lagrangian systems ⋮ Hill-type formula for Hamiltonian system with Lagrangian boundary conditions ⋮ The spectrum of reversible minimizers ⋮ Instability of semi-Riemannian closed geodesics
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