The Floquet exponent for two-dimensional linear systems with bounded coefficients

zbMath0627.34064MaRDI QIDQ1092310

Russell A. Johnson, Riccardo Giachetti

Publication date: 1986

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

ergodic theoryGreen's matrixbounded coefficientsFloquet exponent

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

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Exponential dichotomy, rotation number, and linear differential operators with bounded coefficients ⋮ m-functions and Floquet exponents for linear differential systems ⋮ Linear invariant measures for recurrent linear systems ⋮ On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem ⋮ Rotation number and exponential dichotomy for linear Hamiltonian systems: from theoretical to numerical results ⋮ A biography of Russell A. Johnson ⋮ Directional differentiability of the rotation number for the almost- periodic Schrödinger equation ⋮ Lyapunov exponent and rotation number for stochastic Dirac operators ⋮ Trace formulas and a Borg‐type theorem for CMV operators with matrix‐valued coefficients ⋮ On the Camassa-Holm and K-dV hierarchies ⋮ Hopf bifurcation from nonperiodic solutions of differential equations. I: Linear theory ⋮ Cantor spectrum for the quasi-periodic Schrödinger equation

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