Hörmander index in finite-dimensional case

DOI10.1007/s11464-018-0702-3zbMath1405.53110arXiv1805.04674OpenAlexW2804826785MaRDI QIDQ1787129

Chaofeng Zhu, Yuting Zhou, Li Wu

Publication date: 4 October 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04674

zbMATH Keywords

symplectic reductionMaslov indexMaslov-type indexHörmander index

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Spectral flows (58J30)

Related Items (11)

Maslov index for heteroclinic orbits of non-Hamiltonian systems on a two-dimensional phase space ⋮ Some progress on minimal period problems in reversible semi-positive Hamiltonian systems ⋮ Hörmander's index and oscillation theory ⋮ Minimal \(P\)-cyclic periodic brake orbits in Hamiltonian systems ⋮ Oscillation numbers for continuous Lagrangian paths and Maslov index ⋮ The Maslov index and spectral counts for linear Hamiltonian systems on \(\mathbb{R}\) ⋮ Sturm theory with applications in geometry and classical mechanics ⋮ The Maslov and Morse indices for Sturm-Liouville systems on the half-line ⋮ Morse index theorem of Lagrangian systems and stability of brake orbit ⋮ Index theory for traveling waves in reaction diffusion systems with skew gradient structure ⋮ Mean index for non-periodic orbits in Hamiltonian systems

Cites Work

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• The Maslov index in weak symplectic functional analysis
• Minimal period estimates for brake orbits of nonlinear symmetric Hamiltonian systems
• On the usefulness of an index due to Leray for studying the intersections of Lagrangian and symplectic paths
• On the Morse index in variational calculus
• The minimal period problem of classical Hamiltonian systems with even potentials
• Perturbation theory for linear operators.
• Index theory for symplectic paths with applications
• Symplectic invariants and Hamiltonian dynamics
• Iteration theory of \(L\)-index and multiplicity of brake orbits
• Multiple brake orbits in bounded convex symmetric domains
• Fourier integral operators. I
• Seifert Conjecture in the Even Convex Case
• Morse theory for periodic solutions of hamiltonian systems and the maslov index

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