scientific article

zbMath1121.58013arXivmath/0504126MaRDI QIDQ3593696

Chaofeng Zhu

Publication date: 23 July 2007

Full work available at URL: https://arxiv.org/abs/math/0504126

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Morse indexHamiltonian systemMaslov indexself-adjoint boundary condition

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

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Linear stability of the criss-cross orbit in the equal-mass three-body problem ⋮ Some progress on minimal period problems in reversible semi-positive Hamiltonian systems ⋮ The Maslov index in weak symplectic functional analysis ⋮ Minimal \(P\)-cyclic periodic brake orbits in Hamiltonian systems ⋮ The iteration formulae of the Maslov-type index theory in weak symplectic Hilbert space ⋮ Fredholm index and spectral flow in non-self-adjoint case ⋮ Linear instability of periodic orbits of free period Lagrangian systems ⋮ On a formula for the spectral flow and its applications ⋮ The Maslov Index in Symplectic Banach Spaces ⋮ Hörmander index in finite-dimensional case ⋮ A dihedral Bott-type iteration formula and stability of symmetric periodic orbits ⋮ Morse index theorem of Lagrangian systems and stability of brake orbit ⋮ Index and stability of symmetric periodic orbits in Hamiltonian systems with application to figure-eight orbit

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