Fast computation of the Maslov index for hyperbolic linear systems with periodic coefficients

DOI10.1088/0305-4470/39/47/002zbMath1107.37052OpenAlexW2024217617MaRDI QIDQ3418424

Frédéric Chardard, Thomas J. Bridges, Frédéric Dias

Publication date: 5 February 2007

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7f17ed8cdc9b3399ba3c2298f97c9ea02db8a826

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Linear ordinary differential equations and systems (34A30) Lagrangian submanifolds; Maslov index (53D12)

Related Items (10)

Dimension breaking from spatially-periodic patterns to KdV planforms ⋮ Hadamard-type formulas via the Maslov form ⋮ The Morse and Maslov indices for Schrödinger operators ⋮ The Maslov and Morse indices for system Schroedinger operators on \mathBB{R} ⋮ Maslov index for solitary waves obtained as a limit of the Maslov index for periodic waves ⋮ The Maslov index and the spectra of second order elliptic operators ⋮ Computing the Maslov index of solitary waves. II: Phase space with dimension greater than four ⋮ Computing the Maslov index of solitary waves. I: Hamiltonian systems on a four-dimensional phase space ⋮ The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials ⋮ Counting spectrum via the Maslov index for one dimensional $\theta -$periodic Schrödinger operators

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