Rotation number for non-autonomous linear Hamiltonian systems. I: Basic properties
From MaRDI portal
Publication:1404183
DOI10.1007/s00033-003-1068-1zbMath1021.37017OpenAlexW2055002067MaRDI QIDQ1404183
Roberta Fabbri, Carmen Núñez, Russell A. Johnson
Publication date: 20 August 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/s00033-003-1068-1
Related Items
The Maslov index and spectral counts for linear Hamiltonian systems on \([0, 1\)] ⋮ Principal Solutions Revisited ⋮ The Maslov and Morse indices for Schrödinger operators on \([0,1\)] ⋮ Null controllable sets and reachable sets for nonautonomous linear control systems ⋮ Instability of pulses in gradient reaction–diffusion systems: a symplectic approach ⋮ Renormalized oscillation theory for Hamiltonian systems ⋮ On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem ⋮ 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 Maslov and Morse indices for system Schroedinger operators on \mathBB{R} ⋮ The Kalman-Bucy filter revisited ⋮ On square integrable solutions and principal and antiprincipal solutions for linear Hamiltonian systems ⋮ The Maslov Index and Global Bifurcation for Nonlinear Boundary Value Problems ⋮ Preservation of the Maslov index along bifurcating branches of solutions of first order systems in \(\mathbf {R}^{N}\) ⋮ Disconjugacy and the rotation number for linear, non-autonomous Hamiltonian systems ⋮ The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials ⋮ Non-Atkinson perturbations of nonautonomous linear Hamiltonian systems: exponential dichotomy and nonoscillation ⋮ Density of positive Lyapunov exponents for symplectic cocycles ⋮ On non-autonomous \(H^{\infty}\) control with infinite horizon
This page was built for publication: Rotation number for non-autonomous linear Hamiltonian systems. I: Basic properties