Rotation number for non-autonomous linear Hamiltonian systems. II: The Floquet coefficient

DOI10.1007/s00033-003-1057-4zbMath1027.37023OpenAlexW2060322080MaRDI QIDQ1412070

Carmen Núñez, Roberta Fabbri, Russell A. Johnson

Publication date: 4 November 2003

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-003-1057-4

zbMATH Keywords

Hamiltonian systemFloquet coefficientRotation numberAtkinson spectral problemWeyl \(M\)-functions

Mathematics Subject Classification ID

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Principal Solutions Revisited ⋮ Renormalized oscillation theory for Hamiltonian systems ⋮ Rotation numbers of linear Hamiltonian systems with phase transitions over almost periodic lattices ⋮ Rotation number and exponential dichotomy for linear Hamiltonian systems: from theoretical to numerical results ⋮ Rotation numbers for random dynamical systems on the circle ⋮ A biography of Russell A. Johnson ⋮ The Kalman-Bucy filter revisited ⋮ On square integrable solutions and principal and antiprincipal solutions for linear Hamiltonian systems ⋮ Disconjugacy and the rotation number for linear, non-autonomous Hamiltonian systems ⋮ Non-Atkinson perturbations of nonautonomous linear Hamiltonian systems: exponential dichotomy and nonoscillation ⋮ On non-autonomous \(H^{\infty}\) control with infinite horizon

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